CN111398072B - Dynamic uniaxial bidirectional asynchronous loading device and method thereof - Google Patents

Dynamic uniaxial bidirectional asynchronous loading device and method thereof Download PDF

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CN111398072B
CN111398072B CN201910051760.8A CN201910051760A CN111398072B CN 111398072 B CN111398072 B CN 111398072B CN 201910051760 A CN201910051760 A CN 201910051760A CN 111398072 B CN111398072 B CN 111398072B
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loading gun
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CN111398072A (en
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李玉龙
杜冰
郭亚洲
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Northwestern Polytechnical University
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N3/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N3/30Investigating strength properties of solid materials by application of mechanical stress by applying a single impulsive force, e.g. by falling weight
    • G01N3/317Investigating strength properties of solid materials by application of mechanical stress by applying a single impulsive force, e.g. by falling weight generated by electromagnetic means
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N3/00Investigating strength properties of solid materials by application of mechanical stress
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/0001Type of application of the stress
    • G01N2203/001Impulsive
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/003Generation of the force
    • G01N2203/005Electromagnetic means

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Abstract

The invention discloses a dynamic uniaxial bidirectional asynchronous loading device and a method thereof, wherein the device comprises: the loading device comprises a first loading gun, a first waveguide rod, a second waveguide rod and a second loading gun which are coaxially and sequentially arranged; the first loading gun is used for emitting a compression stress wave; the second loading gun is used for emitting tensile stress waves; the first waveguide rod is connected with the first loading gun, the second waveguide rod is connected with the second loading gun, and a sample is arranged between the first waveguide rod and the second waveguide rod; the length of the first waveguide rod is larger than that of the second waveguide rod, the first loading gun and the second loading gun simultaneously generate stress waves, the compression stress waves generated by the first loading gun conduct to the sample along the first waveguide rod and carry out compression loading on the sample, and the tensile stress waves generated by the second loading gun conduct to the sample along the second waveguide rod and carry out tensile loading on the sample. The invention can obtain the Bauschinger effect of the material under dynamic loading.

Description

Dynamic uniaxial bidirectional asynchronous loading device and method thereof
Technical Field
The invention relates to a dynamic mechanical property testing technology of materials, in particular to a dynamic uniaxial bidirectional asynchronous loading device and a method thereof.
Background
The metal material generates a small amount of plastic deformation through pre-loading, and then the yield limit of the metal material is reduced if the metal material is reversely loaded; if loaded in the same direction, the yield limit increases, a phenomenon known as the bauschinger effect. Conventionally, the bauschinger effect is a basic characteristic of a metal material, but due to the limitation of factors such as experimental conditions, researchers have limited the bauschinger effect research on the metal material to the condition of low strain rate, and the existing research on the dynamic bauschinger effect under the high strain rate is still less.
At present, the split Hopkinson pressure bar technology is most widely used in the field of material science for measuring the mechanical property of a material under high strain rate. The basic principle of this method is: and placing a short sample between the two pressure rods, and inputting a compression stress wave at the end of the incident rod in a short rod impact mode to load the sample. At the same time, the pulse signal is recorded by means of a strain gauge which is glued to the rod and at a distance from the end of the rod. If the strut remains in an elastic state during wave propagation, it is believed that the pulse in the strut will propagate undistorted at the elastic wave speed. Thus, the strain gage signal applied to the strut represents the time history of the load applied to the rod end.
Because the bauschinger effect requires that a sample is loaded by a tensile load and generates certain shaping, and then is reversely loaded by compression (or firstly loaded by compression and then loaded by tension) after being unloaded, the conventional quasi-static testing machine can better meet the requirement at a low strain rate, but the work is difficult to continuously finish by adopting a conventional Hopkinson bar system under a high strain rate. The reason for this is that the conventional hopkinson rod system usually employs an air cannon to launch the striker at a high speed, and the striker generates an incident pulse after colliding with the incident waveguide rod. Meanwhile, the impact rods of the split Hopkinson pull rod and the split Hopkinson pressure bar are different, the impact rod of the Hopkinson pull rod is a hollow circular tube, the impact tube is emitted at a high speed through an air gun, when the impact tube moves to the end of the incident rod, the impact tube collides with a boss at the end of the incident rod to generate a row of compression waves which are transmitted to the boss end of the incident rod and reflected into tension waves at the free end, and the tension waves load a sample through the incident rod; the impact rod of the Hopkinson pressure bar is a solid cylinder, and is launched at a high speed through the air cannon and coaxially impacted with the impact rod to generate incident pulses. Because the shape of impact bar is different, and the position in the air cannon is different to atmospheric pressure driven impact bar hardly produces two identical incident waves, consequently the loading system of traditional hopkinson depression bar and pull rod can't realize on same device, is difficult to satisfy the requirement of material package sine check effect experiment.
Disclosure of Invention
The invention mainly aims to provide a dynamic uniaxial bidirectional asynchronous loading device and a method thereof, and aims to solve the problem that the dynamic Bauschinger effect of materials under high strain rate cannot be realized in the prior art.
In order to solve the above problem, according to an aspect of the present invention, a dynamic uniaxial bidirectional asynchronous loading device is provided, which includes: the loading device comprises a first loading gun, a first waveguide rod, a second waveguide rod and a second loading gun which are coaxially and sequentially arranged; the first loading gun is used for emitting a compression stress wave; the second loading gun is used for emitting tensile stress waves; the first waveguide rod is connected with the first loading gun, the second waveguide rod is connected with the second loading gun, and a sample is arranged between the first waveguide rod and the second waveguide rod; the length of the first waveguide rod is larger than that of the second waveguide rod, the first loading gun and the second loading gun simultaneously generate stress waves, the compression stress waves generated by the first loading gun are conducted to the sample along the first waveguide rod and carry out compression loading on the sample, and the tension stress waves generated by the second loading gun are conducted to the sample along the second waveguide rod and carry out tension loading on the sample.
Particular embodiments may include one or more of the following.
The difference in length between the first waveguide rod and the second waveguide rod is greater than or equal to the distance required for a complete waveform to propagate. And carrying out the tensile loading after the compressive loading is finished. The first loading gun and the second loading gun generate waveforms with incident wave amplitude and pulse width consistent. The sample is a cuboid, the length-width-height ratio of the sample is 1.5:1, and the height of the sample is not less than 0.5 times of the diameter of the waveguide rod.
According to another aspect of the present invention, a dynamic uniaxial bidirectional asynchronous loading method is further provided, which includes: the loading device comprises a first loading gun, a first waveguide rod, a second waveguide rod and a second loading gun which are sequentially arranged in a coaxial direction; connecting the first waveguide rod with the first loading gun, connecting the second waveguide rod with the second loading gun, and arranging a sample between the first waveguide rod and the second waveguide rod; wherein the length of the first waveguide rod is greater than the length of the second waveguide rod; the first loading gun and the second loading gun simultaneously generate stress waves, the compression stress waves generated by the first loading gun are conducted to the sample along the first waveguide rod and carry out compression loading on the sample, and the tensile stress waves generated by the second loading gun are conducted to the sample along the second waveguide rod and carry out tensile loading on the sample.
Particular embodiments may include one or more of the following.
The difference in length between the first waveguide rod and the second waveguide rod is greater than or equal to the distance required for a complete waveform to propagate. And after the compression loading is finished, the tensile loading is carried out. The first loading gun and the second loading gun generate waveforms with incident wave amplitude and pulse width consistent. The sample is a cuboid, the length-width-height ratio of the sample is 1.5:1, and the height of the sample is not less than 0.5 times of the diameter of the waveguide rod.
According to the technical scheme of the invention, through reasonably designing the wave guide rods with different lengths and adopting two stress wave generators, the uniaxial bidirectional asynchronous loading of the electromagnetic Hopkinson bar is realized, and the Bauschinger effect of the material under dynamic loading can be obtained.
Drawings
The accompanying drawings, which are included to provide a further understanding of the invention and are incorporated in and constitute a part of this application, illustrate embodiment(s) of the invention and together with the description serve to explain the invention without limiting the invention. In the drawings:
FIG. 1 is a schematic structural diagram of a dynamic uniaxial bidirectional asynchronous loading device according to an embodiment of the invention;
FIG. 2 is a schematic structural diagram of a dynamic uniaxial bidirectional asynchronous loading device according to another embodiment of the present invention;
FIG. 3 is a flowchart of a dynamic uni-axial bi-directional asynchronous loading method according to an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the technical solutions of the present invention will be clearly and completely described below with reference to the specific embodiments of the present invention and the accompanying drawings. It is to be understood that the disclosed embodiments are merely exemplary of the invention, and are not intended to be exhaustive or exhaustive. All other embodiments, which can be obtained by a person skilled in the art without making any creative effort based on the embodiments in the present invention, belong to the protection scope of the present invention.
The technical solutions provided by the embodiments of the present invention are described in detail below with reference to the accompanying drawings.
FIG. 1 is a schematic diagram of a dynamic uniaxial bidirectional asynchronous loading device which can be used for measuring the dynamic Bauschinger effect of a material according to an embodiment of the invention. With reference to fig. 1, the device comprises at least: the device comprises a first loading gun 1, a first waveguide rod 2, a second waveguide rod 3, a second loading gun 4, a sample 5, a strain gauge 6 and a data acquisition unit 7.
The loading device comprises two identical loading guns, wherein one loading gun is used for emitting compression waves, and the other loading gun is used for emitting stretching waves. The loading device also comprises two waveguide rods with different lengths, so that the two coaxial loading guns can generate waveforms with the incident wave amplitude and the pulse width consistent, the waveforms generated in the stress propagation process and the errors in time are reduced, the incident wave generated at one end is a compression wave, and the compression wave is generated at the other end. The length difference of the two waveguide rods is more than or equal to the length required by the propagation of a complete waveform, namely the product of the time pulse width of one waveform and the wave propagation speed.
The loading devices are arranged on the same horizontal line and coaxially and symmetrically arranged according to the sequence of loading guns, waveguide rods and loading guns, the loading guns are respectively positioned at the incident ends of the waveguide rods, and the samples to be tested are placed between the two coaxial waveguide rods. For the compression loading end, the incident rod is a cylindrical long straight rod; for the tensile loading end, the external thread connected with the buffer or the boss is processed at the incident end of the waveguide rod, and the design of the boss is the same as that of the boss of the traditional Hopkinson pull rod. The other ends of the two waveguide rods are both processed with internal threads or grooves to be connected with a sample. And a group of strain gauges are symmetrically adhered to the circumferential surfaces of 1/2 of the length of each waveguide rod and the 1/4 of the length close to the sample end, and the strain on each waveguide rod is converted into an electric signal and transmitted to the data acquisition unit through a lead.
The waveguide rod incidence end is provided with an external thread connected with a buffer or a boss, and the design of the boss is the same as that of a boss of a traditional Hopkinson pull rod. The other ends of the two waveguide rods are both processed with internal threads or grooves to be connected with a sample.
When loading is carried out, the first loading gun generates a compression stress wave to be conducted to the sample along the first waveguide rod, and the sample is loaded; and the second loading gun generates a tensile stress wave and transmits the tensile stress wave to the sample through the second waveguide rod. When two columns of waves are respectively transmitted to the contact surface of the waveguide rod and the sample, the two columns of waves respectively show the characteristics when the sample is loaded by the traditional Hopkinson rod due to the mismatching of wave impedance, namely, one part of incident waves are reflected to form reflected waves on the waveguide rod, and the other part of incident waves are transmitted into the other coaxial waveguide rod through the sample to form transmitted waves. In fact, the whole loading process can be divided into independent parts for analysis: when a train of waves transmitted from a shorter waveguide rod loads a sample, one part of the waves are reflected to form reflected waves on a short rod, and the other part of the waves form transmitted waves on a longer waveguide rod.
The strain gauges on the waveguide rods can respectively convert strain changes on the two rods into resistance changes, and further convert the resistance changes into changes of output voltages of two bridge arms of a Wheatstone half bridge, and the voltage changes are input into a data acquisition unit through two conventional shielding signal wires.
Referring to fig. 2, in the embodiment of the present application, the apparatus further includes: a control module 8, a main circuit charging and discharging module 9 and a capacitor bank 10. The control module can adopt a digital signal delay pulse generator and is used for generating two independent pulse signals to trigger the silicon controlled rectifier to charge the capacitor. The main circuit charging and discharging module comprises a charging circuit and a discharging circuit, is composed of a transformer, a current limiting resistor, a filter inductor, a current discharging resistor, a vacuum contactor and a current/voltage sensor and is used for charging and discharging energy stored in the pulse capacitor bank, and the charging circuit is used for boosting input voltage to required charging voltage and charging the capacitor bank; the discharging circuit is used for triggering the capacitor group to discharge the discharging coil instantly and carry out electromagnetic loading. The capacitor bank module is composed of a capacitor bank and a discharge controllable silicon and used for discharging of the two loading guns. The capacitor bank module adopts a gradient capacitor bank and is used for changing the pulse width of stress waves generated in the discharging and loading process, and the capacitance of each gear is fixed and is directly selected by the control module.
Fig. 3 is a flowchart of a dynamic uniaxial bidirectional asynchronous loading method according to an embodiment of the present invention, and as shown in fig. 3, the method includes:
s302, arranging a first loading gun, a first waveguide rod, a second waveguide rod and a second loading gun in sequence in a coaxial direction;
s304, connecting the first waveguide rod with the first loading gun, connecting the second waveguide rod with the second loading gun, and arranging a sample between the first waveguide rod and the second waveguide rod; wherein the length of the first waveguide rod is greater than the length of the second waveguide rod;
and S306, the first loading gun and the second loading gun simultaneously generate stress waves, the compression stress wave generated by the first loading gun is conducted to the sample along the first waveguide rod and carries out compression loading on the sample, and the tensile stress wave generated by the second loading gun is conducted to the sample along the second waveguide rod and carries out tensile loading on the sample.
The loading process of the present application is described in detail below.
Step 1, equipment is arranged.
The stretching/compressing loading gun and the waveguide rod, and the compressing/stretching loading gun and the waveguide rod are arranged on the experiment table according to the sequence that the loading gun, the waveguide rod and the loading gun are coaxial, and all the waveguide rods can freely move in the axial direction. And placing the sample in the groove of the waveguide rod, enabling the axis of the sample to be coaxial with the waveguide rod, and fixing the sample by adopting adhesion. The method for sticking the strain gauge adopts the prior art, namely a pair of strain with completely same parameters is symmetrically stuck on the surface of the waveguide rod along the axial line at the 1/2 length of the waveguide rod and the 1/4 length of the near sample end, and the strain gauge with the resistance value of 1000 ohms and the sensitivity coefficient of 2.0 is adopted in the embodiment; and welding lead wires of the strain gauge on pins of the strain gauge, and respectively connecting the strain gauge into two opposite bridge arms of the Wheatstone half bridge through the lead wires. The fixed resistors on the other two legs of the wheatstone half bridge are both 1000 ohms. The supply voltage of the wheatstone half bridge is 30 volts dc. Two diagonal voltages of the Wheatstone half bridge are input to the data acquisition unit through two conventional single-core shielding signal wires.
And 2, setting experimental parameters.
And starting the control module of the experiment system, and setting experiment parameters through the touch screen. According to the experimental use of the loading pulse width, selecting the capacitance of a capacitor bank in a loading circuit as a mF, wherein a is a required capacitor amplitude gear; according to the experiment, the amplitude of the added carrier wave is used, and a required charging voltage value x V is input, wherein x is the required voltage value and is within the rated voltage of the pulse capacitor. The arrangement can ensure that two rows of loading waves obtained in the same axial direction have consistent waveforms, and one row of waves is compression waves and the other row of waves is stretching waves according to the preset arrangement. Meanwhile, the delay time of the digital delay signal generator is set according to equipment debugging, the time delay of the direction of the stress wave generated firstly is set to be t microseconds (mu s), and t is the time difference between the stress wave generated firstly and the stress wave generated after relative delay during experimental debugging, so that the stress waves of the two loading guns can be ensured to be simultaneously emitted, and the sample is loaded successively along the waveguide rod.
And 3, charging the pulse capacitor bank.
After the parameter setting is finished, the charging option of the control module is started, and the main circuit charging and discharging module works to charge the pulse capacitor bank. And the charging is automatically stopped after the set charging voltage is reached, and the charging voltage of the pulse capacitor bank is not increased.
And 4, discharging and loading the capacitor bank.
And after the capacitor is charged, starting a discharge switch to discharge the capacitor group to the main coil of each loading gun. When the discharging current flows through the main coil of the loading gun, a strong electromagnetic repulsion force is generated between the secondary coil and the main coil due to electromagnetic induction. Because the capacitor bank has short discharge time and strong discharge current, the electromagnetic repulsion generated at the moment forms an incident stress wave with short duration and large amplitude at the input end of the stress amplifier. Two lines of stress waves are simultaneously transmitted to the sample from the far end of the waveguide rod, wherein one line is compression waves, the other line is tension waves, because the two waveguide rods have different lengths, the incident waves transmitted by the shorter rod reach the sample end first to load the sample, and after the loading is finished, the other line of incident waves reach the sample end to load the sample. When the first row of incident waves is transmitted to the contact surface of the waveguide rod and the sample, one part of the incident waves is reflected due to wave impedance mismatching to form reflected waves in the waveguide rod, the other part of the incident waves is transmitted into the other coaxial waveguide rod through the sample to form transmitted waves, then the other row of incident waves on the longer waveguide rod is transmitted, after the reflection is generated on the end surface of the sample, the transmitted waves are transmitted to the shorter waveguide rod after passing through the sample, and the shapes and amplitudes of the reflected waves and the transmitted waves are determined by the material properties of the sample.
And 5, acquiring and processing experimental data.
The strain gauges on the waveguide rods can respectively convert strain changes on the two rods into resistance changes, and further convert the resistance changes into changes of output voltages of two bridge arms of a Wheatstone half bridge, and the voltage changes are input into a data acquisition unit through two conventional shielding signal wires. According to the Wheatstone bridge formula, the strain signal of the waveguide rod can be calculated as follows:
ε=2ΔU/(U 0 -ΔU)/k (1)
where ε is the strain signal, U 0 The voltage is the power supply voltage of the Wheatstone half bridge, k is the sensitivity coefficient of the strain gauge, and delta U is the change value of the bridge arm voltage of the Wheatstone half bridge along with the change of time;
during the experimental loading, two loading guns simultaneously emit stress waves, one of which is a compression wave and the other of which is a tension wave. Because the two waveguide rods have length difference, the strain gauge collects a column of incident waves generated by the shorter waveguide rod, the incident waves generate reflected waves on the end surface of the sample and are transmitted back to the position of the strain gauge to be collected, and the transmitted waves pass through the sample and are continuously transmitted through the longer waveguide rod, and transmitted wave signals of the sample are collected by the strain gauge on the strain gauge; the incident wave on the longer waveguide rod is transmitted later, the incident wave is collected by the strain gauge on the longer waveguide rod, the incident wave is transmitted back to the strain gauge after being reflected on the end face of the sample, the transmitted wave is collected by the strain gauge on the shorter waveguide rod after passing through the sample, the incident wave signal and the reflected wave-transmitted wave superposed signal recorded by the data collector are utilized, and the internal stress of the sample can be solved by utilizing the one-dimensional stress wave theory:
Figure BDA0001950981870000071
wherein σ s For the internal stress of the sample, E is the modulus of elasticity of the waveguide rod, A is the cross-sectional area of the waveguide rod, A s The cross-sectional area of the sample corresponding to the direction of loading,. Epsilon i For an incident wave signal on a certain waveguide rod, epsilon r For reflected wave signals obtained on the waveguide rod,. Epsilon t Is the transmitted wave signal on the waveguide rod.
For the strain in the sample, a strain gauge is adhered to the surface of the sample to directly measure the internal strain; or using a high-speed camera and employing DIC techniques to calculate the strain inside the sample.
The dynamic Bauschinger effect curve of the sample can be obtained through conventional data processing: and (3) according to the stress of the sample calculated by the formula (2) and the strain of the sample obtained by measurement, drawing the strain of the sample as an x axis and the stress as a y axis to obtain a stress-strain curve of the sample, namely a dynamic Bauschinger effect curve.
The operation steps of the method of the present invention correspond to the structural features of the device, and may be referred to one another, and are not described in detail.
The invention adopts an electromagnetic loading technology, reasonably designs wave guide rods with different lengths, and adopts two stress wave generators to realize the uniaxial bidirectional asynchronous loading of the electromagnetic Hopkinson bar. The experimental operation is simple, stress waves with preset pulse amplitude values and preset pulse width values can be obtained in different loading directions through selection of experimental parameters, and the controllability is strong.
The invention has at least one of the following technical effects:
1. in the aspect of a loading device, two electromagnetic loading guns are adopted to respectively load tensile waves and compression waves on a sample from two directions, and the stress wave amplitude and the pulse width of the tensile waves and the compression waves are the same.
2. In the aspect of obtaining an experimental result, a reasonable sample configuration is adopted to enable the stress state in the experimental process to be in a relatively uniform state, a stress calculation formula of a sample testing section is deduced through a stress wave theory, and the Bauschinger effect of the material under dynamic loading can be obtained by combining strain measurement.
The above description is only an example of the present invention, and is not intended to limit the present invention, and various modifications and changes may be made to the present invention by those skilled in the art. Any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention should be included in the scope of the claims of the present invention.

Claims (8)

1. A dynamic uniaxial bidirectional nonsynchronous loading device, comprising: the loading device comprises a first loading gun, a first waveguide rod, a second waveguide rod and a second loading gun which are coaxially and sequentially arranged;
the first loading gun is used for emitting a compression stress wave;
the second loading gun is used for emitting tensile stress waves; the amplitude and the pulse width of the compression stress wave generated by the first loading gun and the tensile stress wave generated by the second loading gun are the same;
the first waveguide rod is connected with the first loading gun, the second waveguide rod is connected with the second loading gun, and a sample is arranged between the first waveguide rod and the second waveguide rod;
the length of the first waveguide rod is greater than that of the second waveguide rod, the first loading gun and the second loading gun simultaneously generate stress waves, the compression stress waves generated by the first loading gun are conducted to the test sample along the first waveguide rod and carry out compression loading on the test sample, and the tensile stress waves generated by the second loading gun are conducted to the test sample along the second waveguide rod and carry out tensile loading on the test sample.
2. The apparatus of claim 1, wherein the difference in length between the first waveguide rod and the second waveguide rod is greater than or equal to the distance required for a complete waveform to propagate.
3. The device of claim 1 or 2, wherein the tensile loading is performed after the compressive loading is completed.
4. The device according to claim 1, wherein the sample is a rectangular parallelepiped, the length-width-height ratio of the sample is 1.5.
5. A dynamic uniaxial bidirectional nonsynchronous loading method is characterized by comprising the following steps:
the loading device comprises a first loading gun, a first waveguide rod, a second waveguide rod and a second loading gun which are sequentially arranged in a coaxial direction;
connecting the first waveguide rod with the first loading gun, connecting the second waveguide rod with the second loading gun, and arranging a sample between the first waveguide rod and the second waveguide rod; wherein the length of the first waveguide rod is greater than the length of the second waveguide rod;
the first loading gun and the second loading gun simultaneously generate stress waves, and the amplitude and the pulse width of the compression stress wave generated by the first loading gun and the tensile stress wave generated by the second loading gun are the same; and the compression stress wave generated by the first loading gun is conducted to the sample along the first waveguide rod and carries out compression loading on the sample, and the tensile stress wave generated by the second loading gun is conducted to the sample along the second waveguide rod and carries out tensile loading on the sample.
6. The method of claim 5, wherein the difference in length between the first waveguide rod and the second waveguide rod is greater than or equal to the distance required for a complete waveform to propagate.
7. The method of claim 5 or 6, wherein the tensile loading is performed after the compressive loading is completed.
8. The method of claim 5, wherein the sample is a rectangular parallelepiped having a length to width aspect ratio of 1.5.
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