WO2020057270A1 - Ultrasonic nondestructive detection method for expanded size of micro crack of material - Google Patents

Ultrasonic nondestructive detection method for expanded size of micro crack of material Download PDF

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WO2020057270A1
WO2020057270A1 PCT/CN2019/098888 CN2019098888W WO2020057270A1 WO 2020057270 A1 WO2020057270 A1 WO 2020057270A1 CN 2019098888 W CN2019098888 W CN 2019098888W WO 2020057270 A1 WO2020057270 A1 WO 2020057270A1
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ultrasonic
excitation
nonlinear
fatigue
probe
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PCT/CN2019/098888
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French (fr)
Chinese (zh)
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项延训
轩福贞
涂善东
朱武军
刘长军
马聪云
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华东理工大学
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N29/00Investigating or analysing materials by the use of ultrasonic, sonic or infrasonic waves; Visualisation of the interior of objects by transmitting ultrasonic or sonic waves through the object
    • G01N29/04Analysing solids
    • G01N29/041Analysing solids on the surface of the material, e.g. using Lamb, Rayleigh or shear waves
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2291/00Indexing codes associated with group G01N29/00
    • G01N2291/02Indexing codes associated with the analysed material
    • G01N2291/028Material parameters
    • G01N2291/0289Internal structure, e.g. defects, grain size, texture

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  • the invention relates to a method for measuring the length of material micro-cracks, and in particular to an ultrasonic non-destructive testing method for the size of material micro-cracks.
  • Planar layered solid structures are widely used in many fields such as aviation, aerospace and information science.
  • the degradation of material properties will occur.
  • the early degradation of materials accounts for most of the fatigue life.
  • Lamb waves are widely used as an effective detection method for plates because of their flexible excitation and detection methods, and strong interaction with plate defects.
  • the early degradation of materials is usually accompanied by the evolution of the internal microstructure.
  • Nonlinear ultrasound can overcome the shortcomings of linear ultrasound and effectively characterize the changes in the internal microstructure of the material. It is expected to become an effective early damage detection method for materials.
  • Deng Mingxi put forward the concept of stress wave factor to study the fatigue damage of aviation aluminum alloy under cyclic loading.
  • the second harmonic of ultrasonic Lamb wave The change of the stress wave factor with the number of cycles is very obvious and shows a clear monotonic correspondence.
  • the purpose of the present invention is to provide an ultrasonic non-destructive testing method for the size of micro-crack propagation, in order to detect the micro-crack propagation and the size of the in-service material in real time.
  • the present invention provides the following technical solutions based on the above principles:
  • the invention provides an ultrasonic non-destructive testing method for microcrack propagation size for measuring a sample to be tested, including: S1: selecting a suitable excitation mode, excitation frequency, and excitation angle to build a nonlinear ultrasonic Lamb wave measurement system,
  • the measurement system includes a linear ultrasonic excitation system and an excitation probe which are electrically connected to each other, and a receiving probe and an oscilloscope which are electrically connected to each other.
  • the ends of the excitation probe and the receiving probe are provided with wedges; S2: making a plurality of prefabricated holes with a material The reference sample with the same thickness as the sample to be tested; S3: Perform multiple fatigue tests on each of the multiple reference samples, and perform metallographic observation after each fatigue test to obtain the microstructure of the reference sample. The crack length and ultrasonic nonlinear Lamb wave measurement to calculate the nonlinear parameter ⁇ 0 of the reference sample; S4: Obtain the nonlinear parameter-fatigue life curve according to the nonlinear parameter ⁇ 0 of the reference sample under different fatigue cycles.
  • the step S1 includes: S11: providing a plate-shaped material having the same material and thickness as the sample to be tested, and calculating the dispersion curve of the material by using the software to calculate the thickness, transverse wave velocity, and longitudinal wave velocity of the plate-like material; S12: On the dispersion curve of the plate-shaped material, find the point where the phase velocity is equal and the frequency is twice the relationship, select the frequency of the fundamental frequency as the estimated value of the excitation frequency, and calculate the excitation angle ⁇ by Snell's theorem according to the phase velocity corresponding to the excitation frequency; S13: The non-linear ultrasonic excitation system and the excitation probe are electrically connected to each other, and the receiving probe and the oscilloscope are electrically connected to each other; subsequently, wedges and couplants are respectively set at the ends of the excitation probe and the receiving probe, and the excitation probe and the receiving probe are installed to The surface of the plate-like material; the wedge is set so that the excitation probe and the receiving probe contact the surface of
  • the material of the plate-like material is A17075 aluminum alloy with a thickness of 2mm; the excitation frequency of the nonlinear ultrasonic Lamb wave measurement system is 2MHz, the excitation probe is a narrow-band commercial probe with a center frequency of 2.25MHz, and the receiving probe is a center frequency It is a 5MHz wideband commercial probe, and the wedge angle corresponding to the excitation probe and the receiving probe is 24.5 °.
  • the pre-made holes in S2 are non-penetrating circular holes obtained by laser drilling.
  • the non-linear ultrasonic Lamb wave measurement on the reference sample or the sample to be tested includes: firstly placing the excitation probe at 30 mm at the left end of the pre-made hole of the reference sample, and receiving the probe at 30 mm at the right end of the pre-made hole of the reference sample. ; Then start the nonlinear ultrasound excitation system.
  • the metallographic observation of the reference sample is performed by observing the surface condition near the prefabricated hole under an optical microscope, observing the initiation and propagation of microcracks nearby, and saving the picture.
  • the S3 includes: S31: metallographic observation of one of the reference samples to obtain its microcrack length, and non-linear ultrasonic Lamb wave measurement to calculate its non-linear parameter ⁇ 0 ; S32: using a fatigue test The machine performs a tensile fatigue interruption test on the reference specimen through a stress control mode. The reference specimens are removed under different fatigue cycles for metallographic observation and nonlinear ultrasonic Lamb wave measurement to calculate the reference specimen. The microcrack length and non-linear parameter ⁇ 0 of the sample under different fatigue cycles. S33: Select other reference samples and repeat the above S31-S32 until all the reference samples are measured.
  • the loading waveform of the interruption test of the tensile fatigue is a sine wave, and its maximum stress is lower than the yield stress of the reference sample (31).
  • the S4 includes: S41: taking an average of a plurality of non-linear parameters ⁇ 0 corresponding to a plurality of reference samples 31 under each fatigue cycle week; S42: according to the reference sample 31 under different fatigue cycle weeks
  • the average value of the non-linear parameter ⁇ 0 is used to obtain the non-linear parameter-fatigue life curve.
  • the position of the inflection point is marked on the non-linear parameter-fatigue life curve.
  • the length of the microcrack at the inflection point is obtained according to the result of metallographic observation.
  • the length of microcracks corresponding to each fatigue cycle is marked on the linear parameter-fatigue life curve.
  • the non-linear ultrasonic Lamb wave detection method of the present invention combines Lamb wave non-linear ultrasonic measurement with optical microscope observation and measurement to obtain the relationship between the micro-crack size and non-linear parameters before performing the detection.
  • the non-linear parameters of the in-service equipment are measured by waves.
  • the relationship between the micro-crack size and the non-linear parameters is used to determine the length of the material's micro-cracks and characterize the fatigue damage at the same time.
  • This kind of non-linear ultrasonic Lamb wave measurement has fast detection speed. Will not cause damage, the detection cost is low, and the detection covers the surface and the interior of the metal member; the detection accuracy is high, and the error can meet the engineering requirements.
  • the present invention is particularly suitable for tracking the expansion of microcrack sizes caused by early and medium-term fatigue damage of plate-like structural materials.
  • the size of the microcracks in the plate can be measured by the inflection point of a unimodal curve that varies with the fatigue cycle. Accurate detection and evaluation, timely replacement when the material of the in-service equipment reaches the inflection point, to avoid the rapid expansion of the crack length after a certain length causes the fracture to seriously affect the safety of the in-service equipment.
  • the invention can judge the size of microcracks.
  • Figure 1 is a flow chart of detecting micro-crack size by nonlinear ultrasonic Lamb wave method for plate specimen
  • FIG. 2 is a system block diagram of an ultrasonic non-destructive detection system for a material micro-crack propagation size according to an embodiment of the present invention
  • FIG. 3 is a micro-crack propagation diagram, and FIG. 3 (a), (b), (c), and (c) respectively show the micro-crack propagation under 150K, 180K, 230K, and 250K fatigue cycles;
  • Figure 4 is a non-linear parameter-fatigue life curve diagram
  • the present invention provides an ultrasonic non-destructive testing method for microcrack propagation size of a material.
  • the ultrasonic non-destructive testing method adopts a nonlinear ultrasonic Lamb wave measurement system as shown in FIG. 2, and the method is used for measuring
  • the test sample 32 includes the following steps:
  • This step S1 specifically includes:
  • S11 Provide a plate-shaped material with the same metal material and thickness as the sample to be tested 32.
  • the dispersion curve of the material is calculated by using the disperse software based on the thickness, shear wave velocity, and longitudinal wave velocity of the plate-shaped material.
  • the material of the plate-like material is A17075 aluminum alloy, and the thickness is 2 mm.
  • S12 Select the excitation mode from the dispersion curve of the plate-shaped material, obtain the approximate excitation frequency range, and calculate the excitation angle. Specifically, find the point on the dispersion curve of the plate-shaped material that has the same phase velocity and twice the frequency. , Select the frequency of the fundamental frequency as the estimated value of the excitation frequency, and calculate the excitation angle ⁇ through the Snell theorem according to the phase velocity corresponding to the excitation frequency.
  • the excitation angle ⁇ is calculated by the following formula:
  • the phase velocity of the V material is the phase velocity obtained from the dispersion curve
  • the V wedge is the longitudinal wave velocity of the wedge
  • the ⁇ excitation angle can be calculated.
  • the non-linear ultrasonic excitation system 1 and the excitation probe 2 are electrically connected to each other through a connection line, and the receiving probe 4 and the oscilloscope 5 are electrically connected to each other; subsequently, the ends of the excitation probe 2 and the receiving probe 4 are respectively A wedge and a couplant are provided, and the excitation probe 2 and the receiving probe 4 are mounted to the surface of the plate-like material for contacting the surface of the plate-like material, wherein the wedge is arranged so that the excitation probe 2 and the receiving probe 4 is in contact with the surface of the plate-like material at the excitation angle described in step S12.
  • This installation guarantees the integrity of the entire process from the excitation of the signal to the propagation in the board to the acquisition of the final signal.
  • the mode excitation mode frequency selection experiment adjusts the excitation frequency of the linear ultrasonic excitation system 1 near the estimated value of the excitation frequency, uses the excitation probe 2 of the measurement system to contact the plate-shaped material, and makes the receiving probe 4 along the plate-like shape. The surface of the material moves, keeping the excitation probe 2 stationary and moving the receiving probe 4. If the measured distance increases, the value of the measured non-linear parameter needs to increase with the increase of the propagation distance, which indicates that the excitation frequency has a non- Linear accumulation effect. If the value of the non-linear parameter fluctuates with the increase of the propagation, the excitation frequency does not meet the measurement requirements. The excitation frequency needs to be changed and measured again. The non-linear parameter increases as the propagation distance increases. (That is, satisfying the accumulation effect).
  • the excitation frequency of the nonlinear ultrasonic Lamb wave measurement system is 2 MHz
  • the excitation probe 2 is a narrow-band commercial probe with a center frequency of 2.25 MHz
  • the receiving probe 4 is a broadband commercial probe with a center frequency of 5 MHz.
  • the wedge angle corresponding to the receiving probe 4 is 24.5 °.
  • S2 making a plurality of reference samples 31 with prefabricated holes and the same material and thickness as the sample to be tested 32, wherein the prefabricated holes are obtained through laser drilling and have a diameter of about 150am. Through circular holes, this allows micro-cracks to develop near the prefabricated holes, which is good for light microscope observation.
  • the number of reference samples 31 is preferably three.
  • the metallographic observation of the reference sample 31 is performed by observing the surface condition near the prefabricated hole under an optical microscope, observing the initiation and propagation of microcracks nearby, and saving the picture for later comparison.
  • the S3 specifically includes:
  • the non-linear ultrasonic Lamb wave measurement on the reference sample 31 specifically includes: firstly placing the excitation probe 2 on the left end of the preformed hole of the reference sample 31 at 30mm, and the receiving probe 4 on the right end of the preformed hole of the reference sample 31 at 30mm The interval between the two probes is 60mm; then the non-linear ultrasonic excitation system 1 is started again.
  • the activation of the non-linear ultrasonic excitation system 1 allows the signal to reach the excitation probe through the data line, and the Lamb wave signal from the excitation probe 4 through the wedge and The couplant enters the sample, interacts with the reference sample 31, carries a large amount of information to be tested, and then the signal with the information required for detection enters the receiving probe 4 through the wedge and the couplant, and the receiving probe 4 vibrates through the piezoelectric effect The signal is converted into an electrical signal, which is then transmitted to the oscilloscope 5.
  • the non-linear parameter ⁇ 0 of the reference sample 31 is to acquire a signal through the oscilloscope 5 and obtain the fundamental frequency amplitude A 1 and quadratic through the signal by short-time Fourier transform or fast Fourier transform (STFT or FFT).
  • STFT or FFT fast Fourier transform
  • the harmonic amplitude A 2 is calculated according to the formula.
  • the calculation formula of the non-linear parameter ⁇ 0 of the reference sample 31 is as follows:
  • the non-linear parameter ⁇ 0 can be used as a reference for the non-linear parameter normalization process.
  • a fatigue tester is used to perform a tensile fatigue interruption test on the reference sample 31 in a stress control mode at room temperature.
  • the reference sample 31 is removed for metallographic observation and non-linear ultrasound under different fatigue cycles. Lamb wave measurement to calculate the micro-crack length and non-linear parameter ⁇ 0 of the reference sample 31 under different fatigue cycles. Therefore, micro-cracks of different sizes can be prefabricated, the reference sample 31 can be removed at different fatigue cycle times, and the samples that have undergone a certain cycle of fatigue cycle during the interruption test can be observed again with an optical microscope to observe the micro-cracks, and photos of the same location can be saved Observe whether there are microcracks initiating and expanding.
  • the interruption test refers to loading once to a predetermined week, then removing it for measurement, loading again, and then removing it for measurement until the final sample breaks. Interrupting the test can eliminate material non-linear differences between different samples, and obtain microcracks with different sizes of material expansion.
  • the loading waveform of the interruption test of the tensile fatigue is a sine wave, and its maximum stress is far lower than the yield stress of the reference sample 31 to avoid non-linear parameter changes caused by plastic deformation.
  • the interval between the different fatigue cycle weeks is preferably 2000 cycles until the final break.
  • the measurement of multiple different fatigue cycle cycles of one of the reference samples 31 is called a group, because each reference sample The life of 31 is different, so the total number of measurements for each sample to be tested is not necessarily the same.
  • the measurement of each reference sample 31 in the same fatigue cycle was repeated 3 times to reduce the error.
  • a calibration sample can be set to perform the same nonlinear ultrasonic Lamb wave measurement and normalize the result with the first measurement. The error of the measurement system can be obtained.
  • a calibration sample can be used for system calibration.
  • S4 includes:
  • Non-linear ultrasonic Lamb wave measurement is performed on the sample to be tested 32 to obtain the non-linear parameter ⁇ 0 of the sample to be tested 32. Since the sample to be tested 32 and the thickness and material are the same as those of the sample to be tested 32 The number of fatigue cycles and the size of the microcracks corresponding to each non-linear parameter ⁇ 0 of the reference sample 31 are known, so the non-linear parameter corresponding to the non-linear parameter can be found in the non-linear parameter-fatigue life curve described in S4. ⁇ 0 point, and find out the length of the microcrack corresponding to this point.
  • the calculation process of the non-linear parameter ⁇ 0 of the sample to be tested 32 is completely consistent with the calculation process of the non-linear parameter ⁇ 0 of the reference sample 31 described above.
  • Fig. 3 (a)-Fig. 3 (d) the metallographic observation results of reference sample 31 are shown.
  • the arrow in the figure indicates the crack direction.
  • the normalized value of the nonlinear parameter ⁇ is It appears to increase first and then decrease.
  • the simulation results in the existing literature show that the initial nonlinear parameters in the nonlinear ultrasonic Lamb wave experiment increase with the increase of the microcrack length, and the increase of the later crack width leads to the decrease of the later nonlinear parameters. . Therefore, the micro-crack length in the plate can be well detected by the nonlinear ultrasonic Lamb wave method.
  • the measurement results of multiple reference samples 31 of the same material show that the microcrack length is close to 300am at the inflection point, and there is no exception, and the inflection point information is used to judge the ease of use. There is no need to consider the specificity of each sample, only the nonlinear parameters The real-time measurement results are used to roughly judge the material micro-crack size information.
  • the excitation signal is determined according to the time-frequency analysis method, and the generated modal is analyzed and judged.
  • the generated nonlinear second-harmonic mode is obtained by calculating the group velocity of the sound wave in the material.
  • the horizontal curve indicates that the fundamental frequency signal amplitude A 1 measured during the entire fatigue life of the sample remains basically unchanged, indicating that the linear ultrasound is basically unchanged, and the length of the microcrack cannot be obtained by measuring the linear ultrasound;
  • the single-peak curve in the figure shows that the non-linear parameter (that is, the normalized second harmonic signal amplitude) A 2 / A 1 2 shows a single-peak change, which proves that the change of the non-linear parameter is mainly caused by the change of the second harmonic signal.
  • the non-linear parameter ⁇ 0 causes the sensitivity of the non-linear parameter ⁇ 0 to the early damage of the material, and the normalized value of the non-linear ultrasonic parameter A 2 / A 1 2 increases first and then decreases with the fatigue life, so the non-linear parameter can be increased from The size of the microcrack is judged at the reduced inflection point, and the length of the microcrack of the sample at the inflection point of the non-linear parameter is about a certain value (300 ⁇ m in this embodiment).
  • the nonlinear response (ie, the nonlinear parameter) of the ultrasonic Lamb wave increases with the increase of the length of the microcrack, and decreases with the increase of the width of the microcrack. Therefore, in the nonlinear ultrasonic Lamb wave experiment, the increase of the initial nonlinear ultrasonic parameter and the increase of the crack width in the later period lead to the decrease of the nonlinear ultrasonic parameter in the later period. Therefore, at the inflection point, the effects of length and width on non-linear parameters reach a balance, which is suitable for judging the length of material microcracks.
  • the present invention proposes a non-linear ultrasonic Lamb wave detection method to detect and evaluate the size of micro-cracks in a plate.
  • This method performs ultrasonic Lamb waves on a test plate under the condition that the ultrasonic Lamb wave has a strong nonlinear effect.
  • the received signal is subjected to STFT or FFT analysis and processing, and the fundamental frequency signal and the second harmonic signal are extracted, and the nonlinear parameters are calculated.
  • the micro-crack size under the non-linear parameter is obtained.

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Abstract

An ultrasonic nondestructive detection method for the expanded size of a micro crack, comprising: constructing a measurement system; fabricating multiple reference samples, and performing repeated fatigue test on each reference sample respectively; performing metallographic observation after each fatigue test so as to obtain the length of micro cracks in each reference sample, and performing ultrasonic nonlinear Lamb wave measurement to obtain a nonlinear parameter β0 of each reference sample; obtaining a nonlinear parameter-fatigue life curve, and marking micro crack sizes corresponding to various points on the curve; and performing nonlinear ultrasonic Lamb wave measurement on a sample to be tested, so as to obtain a nonlinear parameter β0 thereof, finding a point corresponding to the nonlinear parameter β0 in the curve, and finding the length of a micro crack corresponding to the point. Thus, the relationship between a micro crack size and a nonlinear parameter is used for determining the length of a micro crack and representing a fatigue damage, which will not damage in-service equipment, thereby quickly detecting the micro crack state of an active material at a low cost.

Description

材料微裂纹扩展尺寸的超声无损检测方法Ultrasonic non-destructive testing method for microcrack propagation size of materials 技术领域Technical field
本发明涉及一种材料微裂纹长度的测量方法,具体涉及一种材料微裂纹扩展尺寸的超声无损检测方法。The invention relates to a method for measuring the length of material micro-cracks, and in particular to an ultrasonic non-destructive testing method for the size of material micro-cracks.
背景技术Background technique
在诸如航空、航天及信息科学等众多领域广泛应用了平面层状固体结构。在服役的过程中,由于内部因素和外界环境的影响,会发生材料性能的退化。材料早期性能退化占疲劳寿命的绝大部分。在交变载荷、温度等因素的影响下,有微裂纹的萌生,有可能迅速扩展,发生突然断裂,对工程构件的安全运行造成严重隐患,因此发展材料早期微裂纹扩展的有效检测和评价手段就显得十分重要。Planar layered solid structures are widely used in many fields such as aviation, aerospace and information science. During service, due to the internal factors and the external environment, the degradation of material properties will occur. The early degradation of materials accounts for most of the fatigue life. Under the influence of alternating load, temperature and other factors, there are microcracks initiating, which may rapidly expand and suddenly break, causing serious hidden dangers to the safe operation of engineering components. Therefore, effective detection and evaluation methods for the early microcrack propagation of materials have been developed. It seems very important.
Lamb波因其灵活的激发和检测方式,且能与板材缺陷产生较强的相互作用,携带有大量的检测所需信息,作为板材的一种有效检测手段已被广泛采用。材料早期性能退化通常伴随着内部微观结构的演化,非线性超声能够克服线性超声的不足、有效表征材料内部微观结构的变化,有望成为一种有效的材料早期损伤检测手段。Lamb waves are widely used as an effective detection method for plates because of their flexible excitation and detection methods, and strong interaction with plate defects. The early degradation of materials is usually accompanied by the evolution of the internal microstructure. Nonlinear ultrasound can overcome the shortcomings of linear ultrasound and effectively characterize the changes in the internal microstructure of the material. It is expected to become an effective early damage detection method for materials.
利用Lamb波的非线性效应对板材进行检测,可望能够对板材的早期微裂纹损伤进行检测。国内外学者在板状结构的非线性Lamb波机理和无损检测方面做出来很多卓有成效的研究和工作。解放军后勤工程学院邓明晰教授在《平面固体结构中兰姆波二次谐波的发生与传播研究》中,在理论上他首次给出了Lamb波积累二次谐波声场的解析解,并通过实验证明了Lamb波的强烈非线性效应。Deng和Pruell C等分别在《Analysis of second-harmonic generation of Lamb waves propagating in layered planar structures with imperfect interfaces》、《Evaluation of fatigue damage using nonlinear guided wave s.Smart Materials and Structures》中研究了非线性Lamb波的二次谐波的积累效应对板中的疲劳损伤检测的可行性进行分析。Pruell C等在《Evaluation of plasticity driven material damage using Lamb waves Applied  Physics Letters》中通过非线性Lamb波对板中疲劳损伤进行分析。邓明晰在《无损评价固体板材疲劳损伤的非线性超声兰姆波方法》通过提出应力波因子的概念,对航空铝合金的周期性载荷作用的疲劳损伤进行了研究,超声Lamb波二次谐波的应力波因子随循环次数的变化非常明显并表现出明显的单调对应关系。Using the nonlinear effect of Lamb wave to detect the plate, it is expected to detect the early micro-crack damage of the plate. Scholars at home and abroad have done a lot of fruitful research and work on the nonlinear Lamb wave mechanism and nondestructive testing of plate-like structures. In the "Research on the Generation and Propagation of Lamb Wave Second Harmonics in Planar Solid Structures", Professor Deng Mingxi of the Logistics Engineering Institute of the PLA gave theoretically the first analytical solution of the Lamb wave cumulative second harmonic sound field. Experiments have proved the strong nonlinear effect of Lamb waves. Deng and Pruell C, etc. respectively studied in `` Analysis, Second-harmonic, Generation, Lamb, Waves, Propagating, Layered, Plan, Structures, and Imperfect Interfaces, '' `` Evaluation, of fatigue, Damaging, Using, Nonlinear, Linear, Guided, Waves, Smart, Materials, and `` Structures ''. The cumulative effect of the second harmonic is analyzed for the feasibility of fatigue damage detection in the plate. Pruell et al. In "Evaluation of Plasticity Driven Materials, Damaging, Using Lamb Waves, Applied Physics Letters", analyzed the fatigue damage in the plate by nonlinear Lamb waves. In the "Nonlinear Ultrasonic Lamb Wave Method for Nondestructive Evaluation of Fatigue Damage of Solid Sheets", Deng Mingxi put forward the concept of stress wave factor to study the fatigue damage of aviation aluminum alloy under cyclic loading. The second harmonic of ultrasonic Lamb wave The change of the stress wave factor with the number of cycles is very obvious and shows a clear monotonic correspondence.
但是这些已有的文献都关注于对材料损伤的表征和评价,关于非线性超声信号对微裂纹的扩展研究较少,所涉及到的文献中微裂纹尺寸也大都处于肉眼可见范围,目前尚不存在利用非线性超声Lamb波来定量检测评估微裂纹尺寸的研究。However, these existing literatures are focused on the characterization and evaluation of material damage. There is less research on the propagation of microcracks by non-linear ultrasonic signals, and the microcrack sizes in the literature are mostly in the visible range. There are studies using non-linear ultrasonic Lamb waves to quantitatively evaluate and evaluate microcrack size.
发明内容Summary of the Invention
本发明的目的在于提出一种微裂纹扩展尺寸的超声无损检测方法,以实时检测在役材料微裂纹的扩展情况及尺寸。The purpose of the present invention is to provide an ultrasonic non-destructive testing method for the size of micro-crack propagation, in order to detect the micro-crack propagation and the size of the in-service material in real time.
对于闭合微裂纹、分层等接触类结构损伤,超声波遇到这类损伤会发生一些非线性现象,比如高阶谐波滋生、次谐波滋生、声共振频率漂移和混频声场调制,这些现象用传统的线性超声理论无法解释,于是基于接触非线性的超声理论就逐渐发展起来了。在少量的关于Lamb波的研究中都使用呼吸裂纹模型来解释高阶谐波滋生现象。因此,可以通过测量超声非线性Lamb波通过试样后滋生的二次谐波来检测材料微裂纹的扩展尺寸。For contact-type structural damage such as closed micro-cracks and delaminations, some non-linear phenomena such as high-order harmonic generation, sub-harmonic generation, acoustic resonance frequency drift, and mixed-frequency sound field modulation will occur when ultrasonic encounters such damage. It cannot be explained by the traditional linear ultrasound theory, so the ultrasound theory based on contact nonlinearity has gradually developed. Respiration crack models have been used in a small number of studies on Lamb waves to explain higher-order harmonic breeding. Therefore, the micro-crack propagation size of the material can be detected by measuring the second harmonic that is generated after the ultrasonic nonlinear Lamb wave passes through the sample.
为了实现上述目的,本发明基于上述原理提供了以下技术方案:In order to achieve the above objective, the present invention provides the following technical solutions based on the above principles:
本发明提供一种微裂纹扩展尺寸的超声无损检测方法,用于测量一待测试样,包括:S1:选择合适的激发模式、激发频率和激发角度来搭建一非线性超声Lamb波测量系统,该测量系统包括彼此电连接的线性超声激发系统和激励探头,以及彼此电连接的接收探头和示波器,激励探头和接收探头的端部设有楔块;S2:制作多根具有预制孔、且材质与厚度与所述待测试样相同的参考试样;S3:对所述多根参考试样分别进行多次疲劳试验,在每次疲劳试验后均进行金相观察以得到参考试样的微裂纹长度,以及进行超声非线性Lamb波测量以计算得到参考试样的非线性参量β 0;S4:根据不同疲劳循环周次下参考试样的非线性参量β 0得到非线性参量-疲劳寿命曲线,随后在 非线性参量-疲劳寿命曲线上标注各点所对应的微裂纹尺寸;S5:对所述待测试样进行非线性超声Lamb波测量,得到该待测试样的非线性参量β 0,在S4所述的非线性参量-疲劳寿命曲线中找到对应于该非线性参量β 0的点,并找出该点所对应的微裂纹的长度;其中,所述参考试样或待测试样的非线性参量β 0是通过示波器采集信号,并将所述信号通过短时傅里叶变换或者快速傅里叶变换得到基频幅值和二次谐波幅值,再根据公式计算得到的。 The invention provides an ultrasonic non-destructive testing method for microcrack propagation size for measuring a sample to be tested, including: S1: selecting a suitable excitation mode, excitation frequency, and excitation angle to build a nonlinear ultrasonic Lamb wave measurement system, The measurement system includes a linear ultrasonic excitation system and an excitation probe which are electrically connected to each other, and a receiving probe and an oscilloscope which are electrically connected to each other. The ends of the excitation probe and the receiving probe are provided with wedges; S2: making a plurality of prefabricated holes with a material The reference sample with the same thickness as the sample to be tested; S3: Perform multiple fatigue tests on each of the multiple reference samples, and perform metallographic observation after each fatigue test to obtain the microstructure of the reference sample. The crack length and ultrasonic nonlinear Lamb wave measurement to calculate the nonlinear parameter β 0 of the reference sample; S4: Obtain the nonlinear parameter-fatigue life curve according to the nonlinear parameter β 0 of the reference sample under different fatigue cycles. , And then mark the microcrack size corresponding to each point on the non-linear parameter-fatigue life curve; S5: perform non-linear ultrasonic La on the test sample mb wave measurement to obtain the non-linear parameter β 0 of the sample to be tested, find the point corresponding to the non-linear parameter β 0 in the non-linear parameter-fatigue life curve described in S4, and find the point corresponding to the point The length of the microcrack; wherein the non-linear parameter β 0 of the reference sample or the sample to be tested is a signal collected by an oscilloscope, and the signal is obtained by a short-time Fourier transform or a fast Fourier transform to obtain a fundamental frequency The amplitude and the amplitude of the second harmonic are calculated according to the formula.
所述步骤S1包括:S11:提供一材质和厚度与待测试样相同的板状材料,通过该板状材料的厚度、横波速度和纵波速度采用软件计算得到该材料的频散曲线;S12:在板状材料的频散曲线上找到相速度相等而频率呈两倍关系的点,选择基频的频率作为激发频率估计值,根据激发频率对应的相速度通过snell定理计算激发角度θ;S13:将非线性超声激发系统和激励探头彼此电连接,将接收探头和示波器彼此电连接;随后在激励探头和接收探头的端部分别设置楔块和耦合剂,并将激励探头和接收探头安装到所述板状材料的表面;所述楔块设置为使得激励探头和接收探头以步骤S12所述的激发角度与板状材料的表面接触;S14:将线性超声激发系统的激发频率在激发频率估计值附近调节,进行模式激发模式频率选择实验,筛选得到具有积累效应的激发频率,得到非线性超声Lamb波测量系统。The step S1 includes: S11: providing a plate-shaped material having the same material and thickness as the sample to be tested, and calculating the dispersion curve of the material by using the software to calculate the thickness, transverse wave velocity, and longitudinal wave velocity of the plate-like material; S12: On the dispersion curve of the plate-shaped material, find the point where the phase velocity is equal and the frequency is twice the relationship, select the frequency of the fundamental frequency as the estimated value of the excitation frequency, and calculate the excitation angle θ by Snell's theorem according to the phase velocity corresponding to the excitation frequency; S13: The non-linear ultrasonic excitation system and the excitation probe are electrically connected to each other, and the receiving probe and the oscilloscope are electrically connected to each other; subsequently, wedges and couplants are respectively set at the ends of the excitation probe and the receiving probe, and the excitation probe and the receiving probe are installed to The surface of the plate-like material; the wedge is set so that the excitation probe and the receiving probe contact the surface of the plate-like material at the excitation angle described in step S12; S14: the excitation frequency of the linear ultrasonic excitation system is at the excitation frequency estimated value Adjust nearby, perform mode selection mode frequency selection experiment, screen to get the excitation frequency with accumulation effect, and get the non-linear Ultrasonic Lamb wave measurement system.
所述板状材料的材质为A17075铝合金,厚度为2mm;所述测非线性超声Lamb波量系统的激发频率为2MHz,激励探头为中心频率为2.25MHz的窄带商业探头,接收探头为中心频率为5MHz的宽带商业探头,且激励探头和接收探头所对应的楔块角度为24.5°。The material of the plate-like material is A17075 aluminum alloy with a thickness of 2mm; the excitation frequency of the nonlinear ultrasonic Lamb wave measurement system is 2MHz, the excitation probe is a narrow-band commercial probe with a center frequency of 2.25MHz, and the receiving probe is a center frequency It is a 5MHz wideband commercial probe, and the wedge angle corresponding to the excitation probe and the receiving probe is 24.5 °.
所述S2中的预制孔是通过采用激光打孔得到的未穿透圆孔。The pre-made holes in S2 are non-penetrating circular holes obtained by laser drilling.
所述对参考试样或待测试样进行非线性超声Lamb波测量包括:首先将激励探头放在参考试样的预制孔左端30mm处,接收探头放在该参考试样的预制孔右端30mm处;再启动非线性超声激发系统。The non-linear ultrasonic Lamb wave measurement on the reference sample or the sample to be tested includes: firstly placing the excitation probe at 30 mm at the left end of the pre-made hole of the reference sample, and receiving the probe at 30 mm at the right end of the pre-made hole of the reference sample. ; Then start the nonlinear ultrasound excitation system.
所述对参考试样进行金相观察是通过在光学显微镜下观察预制孔附近表面情况,观察附近有无微裂纹的萌生扩展,并保存图片来进行的。The metallographic observation of the reference sample is performed by observing the surface condition near the prefabricated hole under an optical microscope, observing the initiation and propagation of microcracks nearby, and saving the picture.
所述S3包括:S31:对其中一根参考试样进行金相观察以得到其微裂纹长度,同时对其进行非线性超声Lamb波测量以计算得到其非线性参量β 0; S32:采用疲劳试验机通过应力控制模式对所述参考试样进行拉拉疲劳的中断试验,在不同疲劳循环周次下分别取下参考试样进行金相观察和非线性超声Lamb波测量,以计算得到该参考试样在不同疲劳循环周次下的微裂纹长度和非线性参量β 0;S33:选择其他参考试样重复上述S31-S32,直至所有参考试样测量完成。 The S3 includes: S31: metallographic observation of one of the reference samples to obtain its microcrack length, and non-linear ultrasonic Lamb wave measurement to calculate its non-linear parameter β 0 ; S32: using a fatigue test The machine performs a tensile fatigue interruption test on the reference specimen through a stress control mode. The reference specimens are removed under different fatigue cycles for metallographic observation and nonlinear ultrasonic Lamb wave measurement to calculate the reference specimen. The microcrack length and non-linear parameter β 0 of the sample under different fatigue cycles. S33: Select other reference samples and repeat the above S31-S32 until all the reference samples are measured.
所述拉拉疲劳的中断试验的加载波形为正弦波,其最大应力低于参考试样(31)的屈服应力。The loading waveform of the interruption test of the tensile fatigue is a sine wave, and its maximum stress is lower than the yield stress of the reference sample (31).
所述S4包括:S41:将在每个疲劳循环周次下多根参考试样31所对应的多个非线性参量β 0取平均值;S42:根据不同疲劳循环周次下参考试样31的非线性参量β 0的平均值,得到非线性参量-疲劳寿命曲线,在非线性参量-疲劳寿命曲线上标出拐点位置,根据金相观察结果得到该拐点位置处的微裂纹的长度并在非线性参量-疲劳寿命曲线上标注各个疲劳循环周次所对应的微裂纹长度。 The S4 includes: S41: taking an average of a plurality of non-linear parameters β 0 corresponding to a plurality of reference samples 31 under each fatigue cycle week; S42: according to the reference sample 31 under different fatigue cycle weeks The average value of the non-linear parameter β 0 is used to obtain the non-linear parameter-fatigue life curve. The position of the inflection point is marked on the non-linear parameter-fatigue life curve. The length of the microcrack at the inflection point is obtained according to the result of metallographic observation. The length of microcracks corresponding to each fatigue cycle is marked on the linear parameter-fatigue life curve.
本发明的非线性超声Lamb波检测方法在进行检测前先通过Lamb波非线性超声测量与光学显微镜观察测量相结合,得到微裂纹尺寸与非线性参量的关系,随后本发明可以通过非线性超声Lamb波测量出在役设备的非线性参数,通过微裂纹尺寸与非线性参量的关系实现材料微裂纹长度的判断并同时表征疲劳损伤,这种非线性超声Lamb波测量检测速度快,对在役设备不会造成破坏,检测成本低,且检测覆盖金属构件的表面及内部;检测准确度高,误差能够满足工程要求。此外,本发明尤其适合跟踪板状结构材料早期、中期疲劳损伤导致的微裂纹尺寸的扩展情况,可以通过非线性参量随疲劳循环周次变化的单峰曲线的拐点对板中微裂纹的尺寸进行准确检测及评估,在在役设备的材料时达到拐点时及时替换进行替换,避免裂纹长度达到一定长度后突然快速扩展造成断裂对在役设备的安全造成严重影响。本发明能够对微裂纹进行尺寸的判断。The non-linear ultrasonic Lamb wave detection method of the present invention combines Lamb wave non-linear ultrasonic measurement with optical microscope observation and measurement to obtain the relationship between the micro-crack size and non-linear parameters before performing the detection. The non-linear parameters of the in-service equipment are measured by waves. The relationship between the micro-crack size and the non-linear parameters is used to determine the length of the material's micro-cracks and characterize the fatigue damage at the same time. This kind of non-linear ultrasonic Lamb wave measurement has fast detection speed. Will not cause damage, the detection cost is low, and the detection covers the surface and the interior of the metal member; the detection accuracy is high, and the error can meet the engineering requirements. In addition, the present invention is particularly suitable for tracking the expansion of microcrack sizes caused by early and medium-term fatigue damage of plate-like structural materials. The size of the microcracks in the plate can be measured by the inflection point of a unimodal curve that varies with the fatigue cycle. Accurate detection and evaluation, timely replacement when the material of the in-service equipment reaches the inflection point, to avoid the rapid expansion of the crack length after a certain length causes the fracture to seriously affect the safety of the in-service equipment. The invention can judge the size of microcracks.
附图说明BRIEF DESCRIPTION OF THE DRAWINGS
图1是板状试样非线性超声Lamb波方法检测微裂纹尺寸流程图Figure 1 is a flow chart of detecting micro-crack size by nonlinear ultrasonic Lamb wave method for plate specimen
图2是根据本发明的一个实施例的材料微裂纹扩展尺寸的超声无损检 测系统的系统框图;2 is a system block diagram of an ultrasonic non-destructive detection system for a material micro-crack propagation size according to an embodiment of the present invention;
图3是微裂纹扩展图,其中图3(a)、(b)、(c)、(c)分别示出了150K、180K、230K、250K疲劳循环周次下的微裂纹扩展情况;FIG. 3 is a micro-crack propagation diagram, and FIG. 3 (a), (b), (c), and (c) respectively show the micro-crack propagation under 150K, 180K, 230K, and 250K fatigue cycles;
图4是非线性参量-疲劳寿命曲线图;Figure 4 is a non-linear parameter-fatigue life curve diagram;
具体实施方法Specific implementation method
下面结合附图,给出本发明的较佳实施例,并予以详细描述,使能更好地理解本发明的功能、特点。The following describes preferred embodiments of the present invention in combination with the accompanying drawings, and describes them in detail so as to better understand the functions and features of the present invention.
如图1所示,本发明提供了一种材料微裂纹扩展尺寸的超声无损检测方法,该超声无损检测方法采用如图2所示的非线性超声Lamb波测量系统,且该方法用于测量一待测试样32,具体包括如下步骤:As shown in FIG. 1, the present invention provides an ultrasonic non-destructive testing method for microcrack propagation size of a material. The ultrasonic non-destructive testing method adopts a nonlinear ultrasonic Lamb wave measurement system as shown in FIG. 2, and the method is used for measuring The test sample 32 includes the following steps:
S1:搭建一非线性超声Lamb波测量系统,该测量系统包括彼此电连接的线性超声激发系统1和激励探头2,以及彼此电连接的接收探头4和示波器5,激励探头2和接收探头4的端部设有楔块。该步骤S1具体包括:S1: Establish a nonlinear ultrasonic Lamb wave measurement system. The measurement system includes a linear ultrasonic excitation system 1 and an excitation probe 2 which are electrically connected to each other, and a receiving probe 4 and an oscilloscope 5 which are electrically connected to each other. A wedge is provided at the end. This step S1 specifically includes:
S11:提供一金属材质和厚度与待测试样32相同的板状材料,通过该板状材料的厚度、横波速度和纵波速度采用disperse软件计算得到该材料的频散曲线。在本实施例中,该板状材料的材质为A17075铝合金,且厚度为2mm。S11: Provide a plate-shaped material with the same metal material and thickness as the sample to be tested 32. The dispersion curve of the material is calculated by using the disperse software based on the thickness, shear wave velocity, and longitudinal wave velocity of the plate-shaped material. In this embodiment, the material of the plate-like material is A17075 aluminum alloy, and the thickness is 2 mm.
S12:通过板状材料的频散曲线选出激发模式,得到大致激发频率范围,计算得到激发角度,具体是,在板状材料的频散曲线上找到相速度相等而频率呈两倍关系的点,选择基频的频率作为激发频率估计值,根据激发频率对应的相速度通过snell定理计算激发角度θ。激发角度θ通过以下公式计算:S12: Select the excitation mode from the dispersion curve of the plate-shaped material, obtain the approximate excitation frequency range, and calculate the excitation angle. Specifically, find the point on the dispersion curve of the plate-shaped material that has the same phase velocity and twice the frequency. , Select the frequency of the fundamental frequency as the estimated value of the excitation frequency, and calculate the excitation angle θ through the Snell theorem according to the phase velocity corresponding to the excitation frequency. The excitation angle θ is calculated by the following formula:
sinθ=V 楔块/V 材料相速度sinθ = V wedge / V material phase velocity ,
其中,V 材料相速度为频散曲线中得到的相速度,V 楔块为楔块的纵波速度,可以计算θ激发角度。 Among them, the phase velocity of the V material is the phase velocity obtained from the dispersion curve, and the V wedge is the longitudinal wave velocity of the wedge, and the θ excitation angle can be calculated.
S13:如图2所示,将非线性超声激发系统1和激励探头2通过连接线彼此电连接,将接收探头4和示波器5彼此电连接;随后在激励探头2和接收探头4的端部分别设置楔块和耦合剂,并将激励探头2和接收探头4安装到所述板状材料的表面,用于与所述板状材料的表面接触,其中楔块设置为 使得激励探头2和接收探头4以步骤S12所述的激发角度与板状材料的表面接触。这样安装保证从信号的激发到在板中的传播到最后信号的获取整个过程的完整性。S13: As shown in FIG. 2, the non-linear ultrasonic excitation system 1 and the excitation probe 2 are electrically connected to each other through a connection line, and the receiving probe 4 and the oscilloscope 5 are electrically connected to each other; subsequently, the ends of the excitation probe 2 and the receiving probe 4 are respectively A wedge and a couplant are provided, and the excitation probe 2 and the receiving probe 4 are mounted to the surface of the plate-like material for contacting the surface of the plate-like material, wherein the wedge is arranged so that the excitation probe 2 and the receiving probe 4 is in contact with the surface of the plate-like material at the excitation angle described in step S12. This installation guarantees the integrity of the entire process from the excitation of the signal to the propagation in the board to the acquisition of the final signal.
S14:将线性超声激发系统1的激发频率在激发频率估计值附近调节,进行模式激发模式频率选择实验,筛选得到具有积累效应的激发频率,得到非线性超声Lamb波测量系统。S14: Adjust the excitation frequency of the linear ultrasonic excitation system 1 around the estimated value of the excitation frequency, perform a mode excitation mode frequency selection experiment, select an excitation frequency with a cumulative effect, and obtain a nonlinear ultrasonic Lamb wave measurement system.
其中,模式激发模式频率选择实验将线性超声激发系统1的激发频率在激发频率估计值附近调节,采用将测量系统的激励探头2与所述板状材料接触,并使其接收探头4沿板状材料的表面移动,保持激励探头2不动,移动接收探头4,如果随着测量距离的增加,测得的非线性参量的值需要随着传播距离的增加而增加,这说明这个激发频率具有非线性的积累效应,如果随着传播的增加非线性参量值是波动变化的,则这个激发频率是不满足测量要求的,需要改变激发频率再次进行测量,筛选得到非线性参量随传播距离增加而增加(即满足积累效应)的激发频率。Among them, the mode excitation mode frequency selection experiment adjusts the excitation frequency of the linear ultrasonic excitation system 1 near the estimated value of the excitation frequency, uses the excitation probe 2 of the measurement system to contact the plate-shaped material, and makes the receiving probe 4 along the plate-like shape. The surface of the material moves, keeping the excitation probe 2 stationary and moving the receiving probe 4. If the measured distance increases, the value of the measured non-linear parameter needs to increase with the increase of the propagation distance, which indicates that the excitation frequency has a non- Linear accumulation effect. If the value of the non-linear parameter fluctuates with the increase of the propagation, the excitation frequency does not meet the measurement requirements. The excitation frequency needs to be changed and measured again. The non-linear parameter increases as the propagation distance increases. (That is, satisfying the accumulation effect).
在本实施例中,非线性超声Lamb波测量系统的激发频率为2MHz,激励探头2为中心频率为2.25MHz的窄带商业探头,接收探头4为中心频率为5MHz的宽带商业探头,因此激励探头2和接收探头4所对应的楔块角度为24.5°。In this embodiment, the excitation frequency of the nonlinear ultrasonic Lamb wave measurement system is 2 MHz, the excitation probe 2 is a narrow-band commercial probe with a center frequency of 2.25 MHz, and the receiving probe 4 is a broadband commercial probe with a center frequency of 5 MHz. The wedge angle corresponding to the receiving probe 4 is 24.5 °.
S2:制作多根具有预制孔、且材质与厚度与所述待测试样32相同的参考试样31,其中,所述预制孔是通过采用激光打孔得到的、直径为150am左右的未穿透圆孔,这使得微裂纹能够在预制孔附近萌生,有利于光镜观察。参考试样31的数量优选为3个。S2: making a plurality of reference samples 31 with prefabricated holes and the same material and thickness as the sample to be tested 32, wherein the prefabricated holes are obtained through laser drilling and have a diameter of about 150am. Through circular holes, this allows micro-cracks to develop near the prefabricated holes, which is good for light microscope observation. The number of reference samples 31 is preferably three.
S3:用金属疲劳试验机对所述多根参考试样31分别进行多次疲劳试验,并在每次疲劳试验后均进行金相观察以得到此时参考试样31的微裂纹长度,以及进行超声非线性Lamb波测量以计算得到此时参考试样31的非线性参量β 0S3: Perform multiple fatigue tests on the plurality of reference samples 31 with a metal fatigue tester, and perform metallographic observation after each fatigue test to obtain the microcrack length of the reference sample 31 at this time, and perform Ultrasonic nonlinear Lamb wave measurement to calculate the nonlinear parameter β 0 of the reference sample 31 at this time,
其中,所述对参考试样31进行金相观察是通过在光学显微镜下观察预制孔附近表面情况,观察附近有无微裂纹的萌生扩展,并保存图片来进行的,以便于后期对比。Wherein, the metallographic observation of the reference sample 31 is performed by observing the surface condition near the prefabricated hole under an optical microscope, observing the initiation and propagation of microcracks nearby, and saving the picture for later comparison.
所述S3具体包括:The S3 specifically includes:
S31:对其中一根参考试样31进行金相观察以得到其微裂纹长度,同时对其进行非线性超声Lamb波测量以计算得到其非线性参量β 0S31: metallographic observation of one of the reference samples 31 to obtain the length of its microcracks, and non-linear ultrasonic Lamb wave measurement of it to calculate its non-linear parameter β 0 ;
所述对参考试样31进行非线性超声Lamb波测量具体包括:首先将激励探头2放在参考试样31的预制孔左端30mm,接收探头4放在该参考试样31的预制孔右端30mm处,两个探头之间间隔60mm;再启动非线性超声激发系统1,由此,非线性超声激发系统1的启动则使得信号通过数据线到达激发探头,Lamb波信号从激发探头4经楔块和耦合剂进入试样,与参考试样31相互作用,携带有大量待测信息,然后带有检测所需信息的信号通过楔块和耦合剂进入接收探头4,接收探头4通过压电效应把振动信号转换为电信号,再把信号传输到示波器5。The non-linear ultrasonic Lamb wave measurement on the reference sample 31 specifically includes: firstly placing the excitation probe 2 on the left end of the preformed hole of the reference sample 31 at 30mm, and the receiving probe 4 on the right end of the preformed hole of the reference sample 31 at 30mm The interval between the two probes is 60mm; then the non-linear ultrasonic excitation system 1 is started again. Thus, the activation of the non-linear ultrasonic excitation system 1 allows the signal to reach the excitation probe through the data line, and the Lamb wave signal from the excitation probe 4 through the wedge and The couplant enters the sample, interacts with the reference sample 31, carries a large amount of information to be tested, and then the signal with the information required for detection enters the receiving probe 4 through the wedge and the couplant, and the receiving probe 4 vibrates through the piezoelectric effect The signal is converted into an electrical signal, which is then transmitted to the oscilloscope 5.
参考试样31的非线性参量β 0是通过示波器5采集信号,并将所述信号通过短时傅里叶变换或者快速傅里叶变换(STFT或FFT)得到基频幅值A 1和二次谐波幅值A 2,再根据公式计算得到的。其中,参考试样31的非线性参量β 0的计算公式如下: The non-linear parameter β 0 of the reference sample 31 is to acquire a signal through the oscilloscope 5 and obtain the fundamental frequency amplitude A 1 and quadratic through the signal by short-time Fourier transform or fast Fourier transform (STFT or FFT). The harmonic amplitude A 2 is calculated according to the formula. Among them, the calculation formula of the non-linear parameter β 0 of the reference sample 31 is as follows:
β 0=A 2/A 1 2 β 0 = A 2 / A 1 2
该非线性参量β 0可以作为非线性参量归一化处理的基准。 The non-linear parameter β 0 can be used as a reference for the non-linear parameter normalization process.
S32:在室温下采用疲劳试验机通过应力控制模式对所述参考试样31进行拉拉疲劳的中断试验,在不同疲劳循环周次下分别取下参考试样31进行金相观察和非线性超声Lamb波测量,以计算得到该参考试样31在不同疲劳循环周次下的微裂纹长度和非线性参量β 0。由此,可以预制不同尺寸微裂纹,在不同疲劳循环周次时取下参考试样31,对中断试验进行了一定周期疲劳循环的试样再次进行光学显微镜观测微裂纹的观测,保存相同位置照片,观察是否有微裂纹萌生和扩展。 S32: A fatigue tester is used to perform a tensile fatigue interruption test on the reference sample 31 in a stress control mode at room temperature. The reference sample 31 is removed for metallographic observation and non-linear ultrasound under different fatigue cycles. Lamb wave measurement to calculate the micro-crack length and non-linear parameter β 0 of the reference sample 31 under different fatigue cycles. Therefore, micro-cracks of different sizes can be prefabricated, the reference sample 31 can be removed at different fatigue cycle times, and the samples that have undergone a certain cycle of fatigue cycle during the interruption test can be observed again with an optical microscope to observe the micro-cracks, and photos of the same location can be saved Observe whether there are microcracks initiating and expanding.
其中,中断试验是指即一次加载至预定的周次,然后取下进行测量,再次加载,再取下进行测量直到最后试样断裂。中断试验可以消除不同试样间的材料非线性差异性,得到材料扩展不同尺寸微裂纹。在本实施例中,拉拉疲劳的中断试验的加载波形为正弦波,且其最大应力远低于参考试样31的屈服应力,以避免塑性变形导致的非线性参量变化。Among them, the interruption test refers to loading once to a predetermined week, then removing it for measurement, loading again, and then removing it for measurement until the final sample breaks. Interrupting the test can eliminate material non-linear differences between different samples, and obtain microcracks with different sizes of material expansion. In this embodiment, the loading waveform of the interruption test of the tensile fatigue is a sine wave, and its maximum stress is far lower than the yield stress of the reference sample 31 to avoid non-linear parameter changes caused by plastic deformation.
所述不同疲劳循环周次的间隔优选为2000周次,直至最后的断裂,这样对其中一根参考试样31的多个不同疲劳循环周次的测量称为一组,由于每根参考试样31的寿命是不一样的,因此每根待测试样的测量总次数并不一定是一样的。每根参考试样31在同一疲劳循环周次的测量重复3次,以减小误差。此外,可设置标定试样,进行相同的非线性超声Lamb波测量,与第一次测量结果进行归一化处理,可以得出测量系统的误差,在非线性超声Lamb波测量系统误差较大的情况下可以用标定试样来进行系统的标定。The interval between the different fatigue cycle weeks is preferably 2000 cycles until the final break. Thus, the measurement of multiple different fatigue cycle cycles of one of the reference samples 31 is called a group, because each reference sample The life of 31 is different, so the total number of measurements for each sample to be tested is not necessarily the same. The measurement of each reference sample 31 in the same fatigue cycle was repeated 3 times to reduce the error. In addition, a calibration sample can be set to perform the same nonlinear ultrasonic Lamb wave measurement and normalize the result with the first measurement. The error of the measurement system can be obtained. In the case, a calibration sample can be used for system calibration.
所述参考试样31的非线性参量β 0的计算过程与上文步骤S31所述的计算过程完全一致。 The calculation process of the non-linear parameter β 0 of the reference sample 31 is completely consistent with the calculation process described in step S31 above.
S33:选择其他参考试样31重复上述S31-S32。通过多次重复上述实验,使得在每个疲劳循环周次的数据点均存在多次对不同参考试样31进行的非线性超声Lamb波测量。这样可以避免单根参考试样31的结果的偶然性。S33: Select other reference samples 31 and repeat the above S31-S32. By repeating the above-mentioned experiment multiple times, there are multiple nonlinear Lamb wave measurements on different reference samples 31 at the data points of each fatigue cycle. This can avoid accidental results of a single reference sample 31.
S4:根据不同疲劳循环周次下的非线性参量β 0得到非线性参量-疲劳寿命曲线,随后在非线性参量-疲劳寿命曲线上标注各点所对应的微裂纹尺寸。 S4: Obtain the nonlinear parameter-fatigue life curve according to the nonlinear parameter β 0 under different fatigue cycles, and then mark the microcrack size corresponding to each point on the nonlinear parameter-fatigue life curve.
S4具体包括:S4 includes:
S41:将在每个疲劳循环周次下多根参考试样31所对应的多个非线性参量β 0取平均值,计算标准偏差,做出误差线,由于如上文所述,在每个疲劳循环周次的数据点均存在多次对参考试样31的测量,因此该误差计算可用于表明一下这个微裂纹长度下测量的3次实验的稳定性,表明这个测量并不是偶然性的。 S41: Take the average of the multiple non-linear parameters β 0 corresponding to the multiple reference samples 31 under each fatigue cycle, calculate the standard deviation, and make the error bar. As described above, at each fatigue There are multiple measurements of the reference sample 31 at the data points of the cycle. Therefore, this error calculation can be used to indicate the stability of the three experiments measured at this microcrack length, indicating that this measurement is not accidental.
S42:根据不同疲劳循环周次下参考试样31的非线性参量β 0的平均值,得到非线性参量-疲劳寿命曲线,在非线性参量-疲劳寿命曲线上标出拐点位置,根据金相观察结果得到该拐点位置处的微裂纹的长度并在非线性参量-疲劳寿命曲线上标注各个疲劳循环周次所对应的微裂纹长度。 S42: According to the average value of the non-linear parameter β 0 of the reference sample 31 under different fatigue cycles, a non-linear parameter-fatigue life curve is obtained, and the position of the inflection point is marked on the non-linear parameter-fatigue life curve. As a result, the length of the microcrack at the inflection point is obtained, and the length of the microcrack corresponding to each fatigue cycle is marked on the nonlinear parameter-fatigue life curve.
S5:对所述待测试样32进行非线性超声Lamb波测量,得到该待测试样32的非线性参量β 0,由于待测试样32和厚度及材质与待测试样32相同的参考试样31的每个非线性参量β 0所对应的疲劳循环次数和微裂纹的尺寸是已知的,因此可以在S4所述的非线性参量-疲劳寿命曲线中找到对应于该非线性参量β 0的点,并找出该点所对应的微裂纹的长度。 S5: Non-linear ultrasonic Lamb wave measurement is performed on the sample to be tested 32 to obtain the non-linear parameter β 0 of the sample to be tested 32. Since the sample to be tested 32 and the thickness and material are the same as those of the sample to be tested 32 The number of fatigue cycles and the size of the microcracks corresponding to each non-linear parameter β 0 of the reference sample 31 are known, so the non-linear parameter corresponding to the non-linear parameter can be found in the non-linear parameter-fatigue life curve described in S4. β 0 point, and find out the length of the microcrack corresponding to this point.
其中,所述待测试样32的非线性参量β 0的计算过程与上文所述的参考试样31的非线性参量β 0的计算过程完全一致。 The calculation process of the non-linear parameter β 0 of the sample to be tested 32 is completely consistent with the calculation process of the non-linear parameter β 0 of the reference sample 31 described above.
实验结果Experimental results
如图3(a)-图3(d)所示为参考试样31的金相观察结果,图中箭头表示裂纹的走向,随着微裂纹长度的增加,非线性参量归一化值β是呈现先增加后减小的,已有文献中的仿真结果显示非线性超声Lamb波实验中初期非线性参量随着微裂纹长度的增加而增加,后期裂纹宽度增加导致了后期非线性参量的减小。所以可以通过非线性超声Lamb波的方法能够对板中的微裂纹长度进行很好的检测。As shown in Fig. 3 (a)-Fig. 3 (d), the metallographic observation results of reference sample 31 are shown. The arrow in the figure indicates the crack direction. As the length of the microcrack increases, the normalized value of the nonlinear parameter β is It appears to increase first and then decrease. The simulation results in the existing literature show that the initial nonlinear parameters in the nonlinear ultrasonic Lamb wave experiment increase with the increase of the microcrack length, and the increase of the later crack width leads to the decrease of the later nonlinear parameters. . Therefore, the micro-crack length in the plate can be well detected by the nonlinear ultrasonic Lamb wave method.
多根相同材质的参考试样31的测量结果显示在拐点处微裂纹长度接近300am,没有例外,而且使用拐点信息判断使用方便,不需要考虑每个试样的特殊性,只需要根据非线性参量的实时测量结果对材料微裂纹尺寸信息进行大致判断。The measurement results of multiple reference samples 31 of the same material show that the microcrack length is close to 300am at the inflection point, and there is no exception, and the inflection point information is used to judge the ease of use. There is no need to consider the specificity of each sample, only the nonlinear parameters The real-time measurement results are used to roughly judge the material micro-crack size information.
如图4所示,根据时频分析方法确定激励信号并对产生的模态进行分析判断,通过声波在材料中的群速度计算得到产生的非线性的二次谐波模式,图中的近似于水平的曲线表明试样整个疲劳寿命过程中测量得到的基频信号幅值A 1基本保持不变,说明线性超声是基本保持不变的,无法通过测量线性超声来得到微裂纹的长度;而图中的单峰曲线表明非线性参量(即归一化的二次谐波信号幅值)A 2/A 1 2呈现单峰变化,证明非线性参量的变化主要是由二次谐波信号的变化引起的,验证了非线性参量β 0对材料早期损伤的敏感性,非线性超声参量归一化值A 2/A 1 2随疲劳寿命先增加后减小,由此可以通过非线性参量从增加到减小的拐点进行微裂纹的尺寸判断,非线性参量拐点处试样微裂纹长度在一定值左右(在本实施例中为300μm)。 As shown in Figure 4, the excitation signal is determined according to the time-frequency analysis method, and the generated modal is analyzed and judged. The generated nonlinear second-harmonic mode is obtained by calculating the group velocity of the sound wave in the material. The horizontal curve indicates that the fundamental frequency signal amplitude A 1 measured during the entire fatigue life of the sample remains basically unchanged, indicating that the linear ultrasound is basically unchanged, and the length of the microcrack cannot be obtained by measuring the linear ultrasound; The single-peak curve in the figure shows that the non-linear parameter (that is, the normalized second harmonic signal amplitude) A 2 / A 1 2 shows a single-peak change, which proves that the change of the non-linear parameter is mainly caused by the change of the second harmonic signal. Caused by, the sensitivity of the non-linear parameter β 0 to the early damage of the material is verified, and the normalized value of the non-linear ultrasonic parameter A 2 / A 1 2 increases first and then decreases with the fatigue life, so the non-linear parameter can be increased from The size of the microcrack is judged at the reduced inflection point, and the length of the microcrack of the sample at the inflection point of the non-linear parameter is about a certain value (300 μm in this embodiment).
由此,通过上文所述的查阅文献以及进行模拟仿真,结果发现超声Lamb波的非线性响应(即非线性参量)随微裂纹的长度增大而增强,随微裂纹的宽度增大而减弱,因此非线性超声Lamb波实验中初期非线性超声参量的增加,后期裂纹宽度增加导致了后期非线性超声参量的减小。所以在拐点时,长度和宽度对非线性参量的影响达到一个平衡,适合用来判断材料微裂纹的 长度。Therefore, through the above-mentioned literature review and simulation, it was found that the nonlinear response (ie, the nonlinear parameter) of the ultrasonic Lamb wave increases with the increase of the length of the microcrack, and decreases with the increase of the width of the microcrack. Therefore, in the nonlinear ultrasonic Lamb wave experiment, the increase of the initial nonlinear ultrasonic parameter and the increase of the crack width in the later period lead to the decrease of the nonlinear ultrasonic parameter in the later period. Therefore, at the inflection point, the effects of length and width on non-linear parameters reach a balance, which is suitable for judging the length of material microcracks.
综上所述,本发明提出一种非线性超声Lamb波检测方法以对板中微裂纹尺寸进行检测和评价,该方法在超声Lamb波具有强烈非线性效应的条件下对试验板材进行超声Lamb波二次谐波的测量,将接收到的信号进行STFT或FFT分析处理,提取基频信号和二次谐波信号,计算出非线性参量。最后依据得到的非线性参量单峰状的拐点信息得出该非线性参量下的微裂纹尺寸情况。In summary, the present invention proposes a non-linear ultrasonic Lamb wave detection method to detect and evaluate the size of micro-cracks in a plate. This method performs ultrasonic Lamb waves on a test plate under the condition that the ultrasonic Lamb wave has a strong nonlinear effect. For the measurement of the second harmonic, the received signal is subjected to STFT or FFT analysis and processing, and the fundamental frequency signal and the second harmonic signal are extracted, and the nonlinear parameters are calculated. Finally, based on the obtained unimodal inflection point information of the non-linear parameter, the micro-crack size under the non-linear parameter is obtained.
以上所述的,仅为本发明的较佳实施例,并非用以限定本发明的范围,本发明的上述实施例还可以做出各种变化。即凡是依据本发明申请的权利要求书及说明书内容所作的简单、等效变化与修饰,皆落入本发明专利的权利要求保护范围。本发明未详尽描述的均为常规技术内容。The above description is only the preferred embodiments of the present invention, and is not intended to limit the scope of the present invention. The above embodiments of the present invention can also make various changes. That is, any simple and equivalent changes and modifications made according to the claims of the present application and the contents of the description fall within the protection scope of the claims of the present invention. What is not described in detail in the present invention is conventional technical content.

Claims (9)

  1. 一种材料微裂纹扩展尺寸的超声无损检测方法,用于测量一待测试样(32),其特征在于,包括:An ultrasonic non-destructive testing method for microcrack propagation size of a material for measuring a sample to be tested (32), characterized in that it includes:
    S1:搭建一非线性超声Lamb波测量系统,该测量系统包括彼此电连接的线性超声激发系统(1)和激励探头(2),以及彼此电连接的接收探头(4)和示波器(5),激励探头(2)和接收探头(4)的端部设有楔块;S1: Set up a nonlinear ultrasonic Lamb wave measurement system, the measurement system includes a linear ultrasonic excitation system (1) and an excitation probe (2) electrically connected to each other, and a receiving probe (4) and an oscilloscope (5) electrically connected to each other, Wedges are provided at the ends of the excitation probe (2) and the receiving probe (4);
    S2:制作多根具有预制孔、且材质与厚度与所述待测试样(32)相同的参考试样(31);S2: making a plurality of reference samples (31) with prefabricated holes and the same material and thickness as the sample to be tested (32);
    S3:对所述多根参考试样(31)分别进行多次疲劳试验,在每次疲劳试验后均进行金相观察以得到参考试样(31)的微裂纹长度,以及进行超声非线性Lamb波测量以计算得到参考试样(31)的非线性参量β 0S3: Perform multiple fatigue tests on the multiple reference samples (31), and perform metallographic observation after each fatigue test to obtain the microcrack length of the reference sample (31), and perform ultrasonic nonlinear Lamb Wave measurement to calculate the non-linear parameter β 0 of the reference sample (31);
    S4:根据不同疲劳循环周次下参考试样(31)的非线性参量β 0得到非线性参量-疲劳寿命曲线,随后在非线性参量-疲劳寿命曲线上标注各点所对应的微裂纹尺寸; S4: Obtain a nonlinear parameter-fatigue life curve according to the nonlinear parameter β 0 of the reference sample (31) under different fatigue cycles, and then mark the corresponding microcrack size at each point on the nonlinear parameter-fatigue life curve;
    S5:对所述待测试样(32)进行非线性超声Lamb波测量,得到该待测试样(32)的非线性参量β 0,在S4所述的非线性参量-疲劳寿命曲线中找到对应于该非线性参量β 0的点,并找出该点所对应的微裂纹的长度; S5: Non-linear ultrasonic Lamb wave measurement is performed on the sample to be tested (32), and the nonlinear parameter β 0 of the sample to be tested (32) is obtained, which is found in the nonlinear parameter-fatigue life curve described in S4. A point corresponding to the non-linear parameter β 0 , and find the length of the microcrack corresponding to the point;
    其中,所述参考试样(31)或待测试样(32)的非线性参量β 0是通过示波器(5)采集信号,并将所述信号通过短时傅里叶变换或者快速傅里叶变换得到基频幅值A 1和二次谐波幅值A 2,再根据公式β 0=A 2/A 1 2计算得到。 Wherein, the non-linear parameter β 0 of the reference sample (31) or the sample to be tested (32) is a signal collected by an oscilloscope (5), and the signal is subjected to short-time Fourier transform or fast Fourier transform. Transform to obtain the fundamental frequency amplitude A 1 and the second harmonic amplitude A 2 , and then calculate according to the formula β 0 = A 2 / A 1 2 .
  2. 根据权利要求1所述的一种材料微裂纹扩展尺寸的超声无损检测方法,其特征在于,所述步骤S1包括:The method for ultrasonic nondestructive testing of material microcrack propagation size according to claim 1, wherein the step S1 comprises:
    S11:提供一材质和厚度与待测试样(32)相同的板状材料,通过该板状材料的厚度、横波速度和纵波速度采用软件计算得到该材料的频散曲线;S11: Provide a plate-like material with the same material and thickness as the sample to be tested (32), and use the software to calculate the dispersion curve of the material based on the thickness, transverse wave velocity, and longitudinal wave velocity of the plate-like material;
    S12:在板状材料的频散曲线上找到相速度相等而频率呈两倍关系的点,选择基频的频率作为激发频率估计值,根据激发频率对应的相速度通过snell定理计算激发角度θ;S12: Find the point on the dispersion curve of the plate-like material where the phase velocity is equal and the frequency is twice the relationship, select the frequency of the fundamental frequency as the estimated value of the excitation frequency, and calculate the excitation angle θ by Snell's theorem according to the phase velocity corresponding to the excitation frequency;
    S13:将非线性超声激发系统(1)和激励探头(2)彼此电连接,将接 收探头(4)和示波器(5)彼此电连接;随后在激励探头(2)和接收探头(4)的端部分别设置楔块和耦合剂,并将激励探头(2)和接收探头(4)安装到所述板状材料的表面;所述楔块设置为使得激励探头(2)和接收探头(4)以步骤S12所述的激发角度与板状材料的表面接触;S13: electrically connect the non-linear ultrasonic excitation system (1) and the excitation probe (2) to each other, and electrically connect the receiving probe (4) and the oscilloscope (5) to each other; subsequently, the excitation probe (2) and the receiving probe (4) are electrically connected to each other; Wedges and couplants are respectively set at the ends, and the excitation probe (2) and the receiving probe (4) are installed on the surface of the plate-shaped material; the wedges are arranged so that the excitation probe (2) and the receiving probe (4) ) Contacting the surface of the plate-like material at the excitation angle described in step S12;
    S14:将线性超声激发系统(1)的激发频率在激发频率估计值附近调节,进行模式激发模式频率选择实验,筛选得到具有积累效应的激发频率,得到非线性超声Lamb波测量系统。S14: The excitation frequency of the linear ultrasonic excitation system (1) is adjusted near the estimated value of the excitation frequency, and a mode selection mode frequency selection experiment is performed to select an excitation frequency with a cumulative effect to obtain a nonlinear ultrasonic Lamb wave measurement system.
  3. 根据权利要求2所述的一种材料微裂纹扩展尺寸的超声无损检测方法,其特征在于,所述板状材料的材质为A17075铝合金,厚度为2mm;所述非线性超声Lamb波的测量系统的激发频率为2MHz,激励探头(2)为中心频率为2.25MHz的窄带商业探头,接收探头(4)为中心频率为5MHz的宽带商业探头,且激励探头(2)和接收探头(4)所对应的楔块角度为24.5°。The method for ultrasonic non-destructive testing of material micro-crack propagation size according to claim 2, characterized in that the material of the plate-like material is A17075 aluminum alloy with a thickness of 2 mm; and the nonlinear ultrasonic Lamb wave measurement system The excitation frequency is 2MHz, the excitation probe (2) is a narrow-band commercial probe with a center frequency of 2.25MHz, the receiving probe (4) is a broadband commercial probe with a center frequency of 5MHz, and the excitation probe (2) and the receiving probe (4) are The corresponding wedge angle is 24.5 °.
  4. 根据权利要求1所述的一种材料微裂纹扩展尺寸的超声无损检测方法,其特征在于,所述S2中的预制孔是通过采用激光打孔得到的未穿透圆孔。The method for ultrasonic non-destructive testing of material micro-crack propagation size according to claim 1, wherein the pre-made holes in S2 are non-penetrating circular holes obtained by laser drilling.
  5. 根据权利要求1所述的一种材料微裂纹扩展尺寸的超声无损检测方法,其特征在于,对参考试样(31)或待测试样(32)进行的所述非线性超声Lamb波测量包括:首先将激励探头(2)放在参考试样(31)的预制孔左端30mm处,接收探头(4)放在该参考试样(31)的预制孔右端30mm处;再启动非线性超声激发系统(1)。The method for ultrasonic non-destructive testing of material micro-crack propagation size according to claim 1, wherein the nonlinear ultrasonic Lamb wave measurement performed on a reference sample (31) or a test sample (32) comprises : First place the excitation probe (2) on the left end of the prefabricated hole of the reference sample (31) 30mm, and the receiving probe (4) on the right end of the prefabricated hole of the reference sample (31) 30mm; then start the non-linear ultrasonic excitation System (1).
  6. 根据权利要求1所述的一种材料微裂纹扩展尺寸的超声无损检测方法,其特征在于,所述对参考试样(31)进行金相观察是通过在光学显微镜下观察预制孔附近表面情况,观察附近有无微裂纹的萌生扩展,并保存图片来进行的。The method for ultrasonic non-destructive testing of material micro-crack propagation size according to claim 1, characterized in that the metallographic observation of the reference sample (31) is performed by observing the surface near the prefabricated hole under an optical microscope, Observe the nearby microcracks for initiation and propagation, and save the picture to proceed.
  7. 根据权利要求1所述的一种材料微裂纹扩展尺寸的超声无损检测方法,其特征在于,所述S3包括:The method for ultrasonic nondestructive testing of material microcrack propagation size according to claim 1, wherein the S3 comprises:
    S31:对其中一根参考试样(31)进行金相观察以得到其微裂纹长度,同时对其进行非线性超声Lamb波测量以计算得到其非线性参量β 0S31: Metallographically observe one of the reference samples (31) to obtain the length of the microcracks, and perform a nonlinear ultrasonic Lamb wave measurement on it to calculate its nonlinear parameter β 0 ;
    S32:采用疲劳试验机通过应力控制模式对所述参考试样(31)进行拉拉疲劳的中断试验,在不同疲劳循环周次下分别取下参考试样(31)进行金相观察和非线性超声Lamb波测量,以计算得到该参考试样(31)在不同疲劳循环周次下的微裂纹长度和非线性参量β 0S32: A fatigue tester is used to perform a tensile fatigue interruption test on the reference sample (31) in a stress control mode, and the reference sample (31) is removed for metallographic observation and non-linearity under different fatigue cycles. Ultrasonic Lamb wave measurement to calculate the microcrack length and non-linear parameter β 0 of the reference sample (31) under different fatigue cycles.
    S33:选择其他参考试样(31)重复上述S31-S32,直至所有参考试样(31)测量完成。S33: Select other reference samples (31) and repeat the above S31-S32 until the measurement of all the reference samples (31) is completed.
  8. 根据权利要求7所述的一种材料微裂纹扩展尺寸的超声无损检测方法,其特征在于,所述拉拉疲劳的中断试验的加载波形为正弦波,其最大应力低于参考试样(31)的屈服应力。The method for ultrasonic nondestructive testing of material microcrack propagation size according to claim 7, characterized in that the loading waveform of the interruption test of the tensile fatigue is a sine wave, and its maximum stress is lower than the reference sample (31) Yield stress.
  9. 根据权利要求1所述的一种材料微裂纹扩展尺寸的超声无损检测方法,其特征在于,所述S4包括:The method for ultrasonic non-destructive testing of material microcrack propagation size according to claim 1, wherein the S4 comprises:
    S41:将在每个疲劳循环周次下多根参考试样31所对应的多个非线性参量β 0取平均值; S41: Take the average of the multiple non-linear parameters β 0 corresponding to the multiple reference samples 31 under each fatigue cycle.
    S42:根据不同疲劳循环周次下参考试样31的非线性参量β 0的平均值,得到非线性参量-疲劳寿命曲线,在非线性参量-疲劳寿命曲线上标出拐点位置,根据金相观察结果得到该拐点位置处的微裂纹的长度并在非线性参量-疲劳寿命曲线上标注各个疲劳循环周次所对应的微裂纹长度。 S42: According to the average value of the non-linear parameter β 0 of the reference sample 31 under different fatigue cycles, a non-linear parameter-fatigue life curve is obtained, and the position of the inflection point is marked on the non-linear parameter-fatigue life curve. As a result, the length of the microcrack at the inflection point is obtained, and the length of the microcrack corresponding to each fatigue cycle is marked on the nonlinear parameter-fatigue life curve.
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