CN115164768A - Three-dimensional surface roughness stress concentration and fatigue notch coefficient measuring method and application - Google Patents

Three-dimensional surface roughness stress concentration and fatigue notch coefficient measuring method and application Download PDF

Info

Publication number
CN115164768A
CN115164768A CN202210786193.2A CN202210786193A CN115164768A CN 115164768 A CN115164768 A CN 115164768A CN 202210786193 A CN202210786193 A CN 202210786193A CN 115164768 A CN115164768 A CN 115164768A
Authority
CN
China
Prior art keywords
notch
dimensional surface
fatigue
stress concentration
coefficient
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
CN202210786193.2A
Other languages
Chinese (zh)
Other versions
CN115164768B (en
Inventor
程正坤
王力
朱小春
董铸荣
赵杨
向利娟
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Shenzhen Polytechnic
Original Assignee
Shenzhen Polytechnic
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Shenzhen Polytechnic filed Critical Shenzhen Polytechnic
Priority to CN202210786193.2A priority Critical patent/CN115164768B/en
Publication of CN115164768A publication Critical patent/CN115164768A/en
Application granted granted Critical
Publication of CN115164768B publication Critical patent/CN115164768B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Images

Classifications

    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B11/00Measuring arrangements characterised by the use of optical techniques
    • G01B11/24Measuring arrangements characterised by the use of optical techniques for measuring contours or curvatures
    • G01B11/2441Measuring arrangements characterised by the use of optical techniques for measuring contours or curvatures using interferometry
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B11/00Measuring arrangements characterised by the use of optical techniques
    • G01B11/30Measuring arrangements characterised by the use of optical techniques for measuring roughness or irregularity of surfaces
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B9/00Measuring instruments characterised by the use of optical techniques
    • G01B9/02Interferometers
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02PCLIMATE CHANGE MITIGATION TECHNOLOGIES IN THE PRODUCTION OR PROCESSING OF GOODS
    • Y02P10/00Technologies related to metal processing
    • Y02P10/25Process efficiency

Landscapes

  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Theoretical Computer Science (AREA)
  • Mathematical Physics (AREA)
  • Data Mining & Analysis (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Computational Mathematics (AREA)
  • Pure & Applied Mathematics (AREA)
  • Databases & Information Systems (AREA)
  • Software Systems (AREA)
  • General Engineering & Computer Science (AREA)
  • Algebra (AREA)
  • Investigating Strength Of Materials By Application Of Mechanical Stress (AREA)

Abstract

The invention discloses a method for measuring stress concentration and fatigue notch coefficient of three-dimensional surface roughness and application thereof. The method has the advantages that the stress concentration coefficient and the fatigue notch coefficient of each notch of the surface appearance can be analyzed according to the three-dimensional surface appearance actually measured by the part, the stress state of the three-dimensional surface appearance and the influence of the stress state on the fatigue performance of the part can be conveniently and quantitatively evaluated visually, and a convenient analysis means is provided for strength design and fatigue performance evaluation of a product.

Description

Three-dimensional surface roughness stress concentration and fatigue notch coefficient measuring method and application
Technical Field
The invention relates to the cross technical field of mechanical manufacturing, precision instrument measurement and product strength and fatigue design, in particular to a three-dimensional surface roughness stress concentration and fatigue notch coefficient measuring method and application.
Background
Fatigue is directly related to the reliability and the service life of products, and is a key problem for the quality construction of the products. Fatigue is one of the main causes of engineering structural and mechanical failure, and more than 80% of components in modern industry are destroyed under cyclic loads. Many air accident accidents are caused by metal fatigue. Under the influence of the surface processing quality and the surface stress state, more than 80% of fatigue cracks are initiated on the surface of the part. The fatigue properties of high-strength steel and metal additive manufacturing parts are extremely sensitive to surface processing quality, and the fatigue strength of a component is sharply reduced due to large surface roughness.
The surface appearance defects generated by manufacturing and processing can cause the surface stress disturbance effect of service parts, and further induce the initiation and propagation of fatigue cracks, and the problem is proved to be the root cause of the fatigue failure of certain military aircraft and certain commercial aircraft structural parts. At present, in the fatigue design process of products, surface smoothness correction coefficients obtained based on a large number of fatigue tests in half a century ago are still adopted for the influence of surface processing quality on fatigue performance. The surface finish correction coefficient is the ratio of the fatigue limit of the test piece to the fatigue limit of the mirror-finished test piece when a certain processing technology (polishing, grinding, turning, hot rolling, forging and the like) is adopted. On one hand, the evaluation parameters obtained based on a large number of tests are too conservative, and the action mechanism of the surface roughness on the fatigue performance of the part in a certain processing technology cannot be revealed from the mechanism; on the other hand, a plurality of new manufacturing processes are developed, such as metal additive manufacturing, and a surface smoothness correction coefficient for the metal additive manufacturing process is not defined in the existing fatigue design analysis method, and an analysis means capable of rapidly evaluating the influence of the surface quality of the metal additive manufacturing on the fatigue performance is also lacking. Therefore, it is necessary to establish a relationship between the geometric information of the surface morphology and the surface stress state, so as to obtain the fatigue notch coefficient of the surface morphology of the part, and quantitatively evaluate the influence of the surface roughness left by the machining process on the fatigue performance of the part.
The research in the aspect is mainly based on the roughness distribution parameters to establish a semi-empirical formula or establish a finite element model of the rough test piece according to the actually measured surface morphology, so as to obtain the stress concentration coefficient of the surface morphology. And then establishing a relation between the surface morphology stress concentration coefficient and the fatigue notch coefficient based on a fatigue strength theory to obtain the fatigue notch coefficient for evaluating the influence of the surface roughness of the part on the fatigue strength. Through a large amount of literature research and previous research accumulation of the applicant, the following findings are found:
1. from the perspective of a fatigue damage mechanism, the existing method cannot explain the relationship between the fractal characteristics of the multi-scale microstructure of the surface morphology and the fatigue performance from the mechanism;
2. from the perspective of engineering application, the influence of the surface quality of metal additive manufacturing on fatigue performance is evaluated by adopting a finite element analysis method, a cross-scale finite element model containing surface morphology needs to be established, the surface morphologies with the same roughness grade are different, respective finite element models need to be established respectively, the time cost of finite element modeling and analysis is high, and the fatigue reliability evaluation of an actual engineering structure is not facilitated.
Disclosure of Invention
In view of the defects of the prior art, the invention aims to provide a method and application for measuring three-dimensional surface roughness stress concentration and fatigue notch coefficient.
In order to solve the technical problems, the invention provides the following technical scheme:
the method for measuring the three-dimensional surface roughness stress concentration and the fatigue notch coefficient comprises a white light interferometer and a tested test piece, wherein the white light interferometer is used for measuring the three-dimensional surface morphology, and the method comprises the following steps:
s1, measuring the roughness of the three-dimensional surface, obtaining the spatial coordinate information of each sampling point on the surface of the three-dimensional surface topography, and storing the spatial coordinate information;
s2, carrying out two-dimensional Fourier analysis on the acquired discrete data points of the three-dimensional surface topography to obtain amplitude-frequency information and phase-frequency information of the three-dimensional surface topography;
s3, carrying out harmonic superposition reconstruction on the actually measured three-dimensional surface appearance to obtain a geometric function expression of the three-dimensional surface profile;
s4, calculating to obtain the stress concentration coefficient of each point of the surface of the reconstructed three-dimensional surface contour under the action of the boundary nominal load;
s5, searching the position coordinates of the valley bottoms of all notches of the surface profile, and calculating the curvature radius of the notch position to obtain the stress concentration coefficient of all notch positions of the three-dimensional surface appearance;
s6, calculating fatigue notch coefficients of all notch positions of the three-dimensional surface topography by utilizing the stress concentration coefficients, combining material parameters and a boundary load form and based on a Peterson fatigue notch coefficient model;
s7, extracting the maximum stress concentration coefficient and the fatigue notch coefficient of each notch valley bottom of the three-dimensional surface morphology, the mean value of the first 10 large stress concentration coefficients and the mean value of the first 10 large fatigue notch coefficients, and outputting a coordinate position and a data result on a display interface for evaluating quantitative evaluation parameter values of the influence of the surface roughness of the part on the fatigue strength.
It should be noted that, in the step S3, based on the amplitude-frequency characteristic and the phase-frequency characteristic information of the actually measured surface topography, the reconstruction of the actually measured three-dimensional surface topography may be implemented by using a fourier harmonic superposition mode:
Figure BDA0003728741220000041
wherein A is ij Amplitude information for each harmonic component of the surface topography, f xi 、f yj For the frequency information of each harmonic component of the surface topography along the x direction and the y direction,
Figure BDA0003728741220000042
the phase information of each harmonic component of the surface topography is obtained.
It should be noted that, in the step S4, it can be derived that the tensile force applied to the test piece in the x direction and the y direction respectively is obtained by derivation
Figure BDA0003728741220000043
The stress concentration coefficient of each point on the surface of the three-dimensional surface topography under the action is set as T 2 =CT 1 = CT, there are:
Figure BDA0003728741220000044
Figure BDA0003728741220000045
Figure BDA0003728741220000046
it should be noted that, in the step S5, the three-dimensional reconstructed surface appearance belongs to a curved surface structure, and each point of the surface has two principal curvatures, which are K respectively 1 And K 2 The total curvature of each point on the surface is:
Figure BDA0003728741220000051
e, F and G are first basic quantities of Fourier harmonic wave superposed surface morphology curved surfaces, and L, M and N are second basic quantities of the curved surfaces; then, note the
Figure BDA0003728741220000052
Figure BDA0003728741220000053
Obtaining:
E=1+m 2 ,F=mn,G=1+n 2
Figure BDA0003728741220000054
finally, the average curvature of each point of the harmonic wave superposed three-dimensional surface topography surface is obtained, and the position of the gap is set as (x) * ,y * ) The radius of curvature of the notch position can be obtained
Figure BDA0003728741220000055
In step S6, the stress state of the notch valley bottom of the three-dimensional surface topography is a multiaxial stress state, and the first principal stress σ of the notch valley bottom can be obtained 1 (x * ,y * ) If T is set as the nominal stress, the first principal stress concentration coefficient is:
Figure BDA0003728741220000056
the fatigue notch coefficient of the notch position is as follows:
K f (x * ,y * )=1+q(K t1 (x * ,y * )-1);
wherein the notch sensitivity coefficient q can be determined by the contour valley bottom curvature radius rho (x) * ,y * ) Is shown as
Figure BDA0003728741220000057
Gamma is the material constant in mm and, for steel, gamma and the material tensile strength sigma u Has the following expression
Figure BDA0003728741220000058
At the moment, the first main stress concentration coefficient and the fatigue notch coefficient of each notch position on the surface of the three-dimensional surface topography can be obtained.
The first principal stress concentration coefficient and fatigue thereof of all the notches are definedExtracting the first 10 values of the fatigue notch coefficient, and defining the maximum stress concentration coefficient and the maximum fatigue notch coefficient as K tmax =max(K t1i ),K fmax =max(K fi ) Effective stress concentration factor
Figure BDA0003728741220000061
And an effective fatigue notch factor of
Figure BDA0003728741220000062
Then
Figure BDA0003728741220000063
The characterization parameters for representing the stress concentration degree and the fatigue strength attenuation degree of the three-dimensional surface roughness can be obtained through numerical calculation, and the characterization parameters can be read through a display screen.
The invention also provides application of the three-dimensional surface roughness stress concentration and fatigue notch coefficient measuring method, and the obtained characterization parameters of the three-dimensional surface roughness stress concentration degree and the fatigue strength attenuation degree are used for strength design and fatigue performance evaluation of products.
The method has the advantages that the stress concentration coefficient and the fatigue notch coefficient of each notch of the surface appearance can be analyzed according to the three-dimensional surface appearance actually measured by the part, the stress state of the three-dimensional surface appearance and the influence of the stress state on the fatigue performance of the part can be conveniently and quantitatively evaluated visually, and a convenient analysis means is provided for strength design and fatigue performance evaluation of a product.
Drawings
FIG. 1 is a schematic diagram of the three-dimensional measured surface roughness of the present invention;
FIG. 2 shows the amplitude-frequency and phase-frequency characteristics of the three-dimensional measured surface topography of the present invention;
FIG. 3 is a schematic view of the reconstructed three-dimensional surface topography and stress concentration coefficients of points of the surface profile along the direction.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all embodiments. 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.
Examples
The invention discloses a three-dimensional surface roughness stress concentration and fatigue notch coefficient measuring method, which is provided with a white light interferometer and a tested test piece for measuring three-dimensional surface morphology, and the method comprises the following steps:
s1, measuring the three-dimensional surface roughness, obtaining the spatial coordinate information of each sampling point on the surface of the three-dimensional surface topography, and storing the spatial coordinate information; specifically, as shown in fig. 1, the measurement of the three-dimensional surface topography of the test piece is completed, the measurement of the surface topography corresponds to the external load applied to the test piece, and the test piece is respectively subjected to tension in the x direction and the y direction
Figure BDA0003728741220000071
S2, carrying out two-dimensional Fourier analysis on the acquired three-dimensional surface morphology discrete data points to obtain amplitude-frequency information and phase-frequency information of the three-dimensional surface morphology; specifically, as shown in fig. 2, fourier analysis is performed on the discrete data of the surface topography actually measured in step S1 to obtain the amplitude-frequency characteristic and the phase-frequency characteristic of the surface profile.
S3, reconstructing the actually measured three-dimensional surface morphology by adopting a Fourier harmonic superposition mode based on the amplitude-frequency characteristic and phase-frequency characteristic information of the actually measured surface morphology, as shown in formula (1), wherein A ij Amplitude information for each harmonic component of the surface topography, f xi 、f yj For the frequency information of each harmonic component of the surface topography along the x direction and the y direction,
Figure BDA0003728741220000072
the phase information of each harmonic component of the surface topography is obtained.
Figure BDA0003728741220000081
S4, deducing through a theoretical formula to obtain the tensile force respectively applied to the test piece in the x direction and the y direction
Figure BDA0003728741220000082
Setting the stress concentration coefficient of each point on the surface of the three-dimensional surface topography under the action of T 2 =CT 1 = CT, there are:
Figure BDA0003728741220000083
Figure BDA0003728741220000084
Figure BDA0003728741220000085
as shown in FIG. 3, the three-dimensional surface topography reconstructed by formula (1) and the surface contour points calculated by formula (2) are represented by T 1 Stress concentration coefficient in the direction. It can be seen from the graph that the stress concentration coefficient at the valley bottom position of the surface topography profile is higher than 1, and a stress concentration phenomenon occurs; and the stress concentration coefficient of the peak position of the surface topography is less than 1, the stress of the peak position is lower than the nominal stress, and the surface topography generates obvious stress disturbance effect. And thirdly, obtaining the stress state of each point on the surface of the three-dimensional surface topography.
S5, solving the position of the notch of the surface of the three-dimensional surface topography and the curvature radius of the notch, and extracting the stress concentration coefficient of each contour valley bottom of the surface contour. The three-dimensional reconstruction surface appearance belongs to a curved surface structure, each point of the surface has two main curvatures which are respectively K 1 And K 2 The total curvature of each point of the surface is
Figure BDA0003728741220000086
Wherein E, F and G are Fourier harmonic wave superposed surface morphology curved surfaces (formula 1)L, M, N are second basis quantities of the curved surface. Note the book
Figure BDA0003728741220000091
Figure BDA0003728741220000092
Comprises the following steps:
Figure BDA0003728741220000093
by means of the formula (1), the formula (5) and the formula (6), the average curvature of each point of the harmonic wave superposed three-dimensional surface topography surface can be obtained, and the notch position is set to be (x) * ,y * ) The curvature radius of the notch position can be obtained in dimension
Figure BDA0003728741220000094
And S6, on the basis of the step S5, obtaining the fatigue notch coefficient of each notch valley bottom position of the three-dimensional surface appearance according to the Peterson fatigue notch coefficient model. The stress state of the notch valley bottom of the three-dimensional surface topography is a multiaxial stress state, and the first principal stress sigma of the notch valley bottom can be obtained 1 (x * ,y * ) If T is set as the nominal stress, the first principal stress concentration coefficient is:
Figure BDA0003728741220000095
the fatigue notch coefficient of the notch position is as follows:
K f (x * ,y * )=1+q(K t1 (x * ,y * )-1) (8)
wherein the notch sensitivity coefficient q can be represented by the curvature radius rho (x) of the bottom of the contour valley * ,y * ) Is shown as
Figure BDA0003728741220000096
Gamma is the material constant in mm and, for steel, gamma and the material tensile strength sigma u Has the following expression
Figure BDA0003728741220000101
At the moment, the first main stress concentration coefficient and the fatigue notch coefficient of each notch position of the surface of the three-dimensional surface topography can be obtained.
However, the fatigue failure of the actual test piece is often determined by a certain notch or certain key notches of the surface profile, and the fatigue limit of the three-dimensional surface morphology component obtained by a certain specific machining process is also determined. For convenience of evaluation, a roughness characterizing parameter, such as a maximum peak-to-valley height parameter R, is referenced y =|z max -z min Parameters of roughness | and ten points
Figure BDA0003728741220000102
Extracting the first main stress concentration coefficients of all notches and the first 10 large values of the fatigue notch coefficients of all notches, and defining the maximum stress concentration coefficient and the maximum fatigue notch coefficient as K tmax =max(K t1i ),K fmax =max(K fi ) Effective stress concentration coefficient
Figure BDA0003728741220000103
And an effective fatigue notch factor of
Figure BDA0003728741220000104
Is provided with
Figure BDA0003728741220000105
The characterization parameters for representing the stress concentration degree and the fatigue strength attenuation degree of the three-dimensional surface roughness can be obtained through numerical calculation, and can be read out through a display screen, so that the strength design and the fatigue performance evaluation of the product are facilitated.
Various modifications may be made by those skilled in the art based on the foregoing technical solutions and concepts, and all such modifications should be included in the scope of the present invention.

Claims (7)

1. The method for measuring the three-dimensional surface roughness stress concentration and the fatigue notch coefficient is provided with a white light interferometer and a tested test piece for measuring the three-dimensional surface morphology, and is characterized by comprising the following steps of:
s1, measuring the roughness of the three-dimensional surface, obtaining the spatial coordinate information of each sampling point on the surface of the three-dimensional surface topography, and storing the spatial coordinate information;
s2, carrying out two-dimensional Fourier analysis on the acquired three-dimensional surface morphology discrete data points to obtain amplitude-frequency information and phase-frequency information of the three-dimensional surface morphology;
s3, carrying out harmonic superposition reconstruction on the actually measured three-dimensional surface appearance to obtain a geometric function expression of the three-dimensional surface profile;
s4, calculating to obtain stress concentration coefficients of all points of the reconstructed three-dimensional surface contour under the action of the boundary nominal load;
s5, searching the position coordinates of the valley bottoms of all notches of the surface profile, and calculating the curvature radius of the notch position to obtain the stress concentration coefficient of all notch positions of the three-dimensional surface appearance;
s6, calculating fatigue notch coefficients of all notch positions of the three-dimensional surface topography by utilizing the stress concentration coefficients, combining material parameters and a boundary load form and based on a Peterson fatigue notch coefficient model;
s7, extracting the maximum stress concentration coefficient and the fatigue notch coefficient of each notch valley bottom of the three-dimensional surface appearance, the mean value of the first 10 large stress concentration coefficients and the mean value of the first 10 large fatigue notch coefficients, and outputting a coordinate position and a data result on a display interface for evaluating quantitative evaluation parameter values of the influence of the surface roughness of the part on the fatigue strength.
2. The method for measuring the stress concentration and the fatigue notch coefficient of the three-dimensional surface roughness as claimed in claim 1, wherein in the step S3, the reconstruction of the measured three-dimensional surface morphology can be realized by using fourier harmonic superposition mode based on the amplitude-frequency characteristic and the phase-frequency characteristic information of the measured surface morphology:
Figure FDA0003728741210000021
wherein A is ij Amplitude information of each harmonic component of the surface topography, f xi 、f yj For the frequency information of each harmonic component of the surface topography along the x direction and the y direction,
Figure FDA0003728741210000022
the phase information of each harmonic component of the surface topography is obtained.
3. The method for measuring stress concentration and fatigue notch coefficient of three-dimensional surface roughness as claimed in claim 1, wherein in step S4, the tensile force respectively applied to the test piece in the x direction and the y direction is derived
Figure FDA0003728741210000023
Setting the stress concentration coefficient of each point on the surface of the three-dimensional surface topography under the action of T 2 =CT 1 = CT, has:
Figure FDA0003728741210000024
Figure FDA0003728741210000025
Figure FDA0003728741210000026
4. the method of claim 1, wherein the stress concentration and fatigue notch coefficient of the three-dimensional surface roughness are measuredIn step S5, the three-dimensional reconstructed surface morphology belongs to a curved surface structure, and each point of the surface has two principal curvatures, which are K respectively 1 And K 2 The total curvature of each point on the surface is:
Figure FDA0003728741210000027
e, F and G are first basic quantities of Fourier harmonic wave superposed surface morphology curved surfaces, and L, M and N are second basic quantities of the curved surfaces; then, note that
Figure FDA0003728741210000031
Figure FDA0003728741210000032
Obtaining:
E=1+m 2 ,F=mn,G=1+n 2
Figure FDA0003728741210000033
finally, the average curvature of each point of the surface of the harmonic wave superposed three-dimensional surface topography is obtained, and the notch position is set as (x) * ,y * ) The radius of curvature of the notch position can be obtained
Figure FDA0003728741210000034
5. The method as claimed in claim 1, wherein the stress concentration and fatigue notch coefficient of the three-dimensional surface roughness is measured in step S6, wherein the stress state of the notch valley bottom of the three-dimensional surface topography is a multi-axial stress state, and the first principal stress σ of the notch valley bottom is obtained 1 (x * ,y * ) If T is set as the nominal stress, the first principal stress concentration coefficient is:
Figure FDA0003728741210000035
the fatigue notch coefficient of the notch position is as follows:
K f (x * ,y * )=1+q(K t1 (x * ,y * )-1);
wherein the notch sensitivity coefficient q can be determined by the contour valley bottom curvature radius rho (x) * ,y * ) Is shown as
Figure FDA0003728741210000036
Gamma is the material constant in mm and, for steel, gamma is the material tensile strength sigma u Has the following expression
Figure FDA0003728741210000037
At the moment, the first main stress concentration coefficient and the fatigue notch coefficient of each notch position on the surface of the three-dimensional surface topography can be obtained.
6. The method of claim 1, wherein the first principal stress concentration coefficients of all the notches and the first 10 largest values of their fatigue notch coefficients are extracted, and the maximum stress concentration coefficient and the maximum fatigue notch coefficient are defined as K tmax =max(K t1i ),K fmax =max(K fi ) Effective stress concentration coefficient
Figure FDA0003728741210000041
And an effective fatigue notch factor of
Figure FDA0003728741210000042
Then
Figure FDA0003728741210000043
The three-dimensional surface roughness can be represented by numerical calculationRoughness stress concentration degree and fatigue strength attenuation degree, and can be read through a display screen.
7. The application of the method for measuring the stress concentration and fatigue notch coefficient of the three-dimensional surface roughness as claimed in claim 1, wherein the obtained characterization parameters of the stress concentration degree and the fatigue strength attenuation degree of the three-dimensional surface roughness are used for strength design and fatigue performance evaluation of products.
CN202210786193.2A 2022-07-04 2022-07-04 Three-dimensional surface roughness stress concentration and fatigue notch coefficient measuring method and application Active CN115164768B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202210786193.2A CN115164768B (en) 2022-07-04 2022-07-04 Three-dimensional surface roughness stress concentration and fatigue notch coefficient measuring method and application

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202210786193.2A CN115164768B (en) 2022-07-04 2022-07-04 Three-dimensional surface roughness stress concentration and fatigue notch coefficient measuring method and application

Publications (2)

Publication Number Publication Date
CN115164768A true CN115164768A (en) 2022-10-11
CN115164768B CN115164768B (en) 2023-04-25

Family

ID=83491785

Family Applications (1)

Application Number Title Priority Date Filing Date
CN202210786193.2A Active CN115164768B (en) 2022-07-04 2022-07-04 Three-dimensional surface roughness stress concentration and fatigue notch coefficient measuring method and application

Country Status (1)

Country Link
CN (1) CN115164768B (en)

Citations (9)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2016156630A (en) * 2015-02-23 2016-09-01 株式会社日立製作所 Fatigue limit evaluation method and fatigue limit evaluation device
CN107423462A (en) * 2017-03-28 2017-12-01 中南大学 Workpiece considers the Prediction method for fatigue life and system of three-dimensional rough surface morphology
CN108829909A (en) * 2018-04-12 2018-11-16 西安建筑科技大学 A kind of faying face modeling method considering rough surface percent ripple and micro-bulge interaction
CN109299559A (en) * 2018-10-08 2019-02-01 重庆大学 A kind of Surface hardened layer gear wear and fatigue failure competition mechanism analysis method
CN109359333A (en) * 2018-09-12 2019-02-19 大连理工大学 A kind of body Model construction method comprising multiple dimensioned shape characteristic
US20200096332A1 (en) * 2018-09-25 2020-03-26 Taiwan Semiconductor Manufacturing Co., Ltd. Line edge roughness analysis using atomic force microscopy
CN111435401A (en) * 2018-12-25 2020-07-21 北京金风科创风电设备有限公司 Method and system for determining fatigue grade of welding seam
CN112989665A (en) * 2021-03-23 2021-06-18 重庆理工大学 Fatigue life analysis method for differential shell of electric drive assembly
CN113049403A (en) * 2021-03-02 2021-06-29 宁波大学 Structural surface normal unloading shear damage test method considering morphology frequency spectrum characteristics

Patent Citations (9)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2016156630A (en) * 2015-02-23 2016-09-01 株式会社日立製作所 Fatigue limit evaluation method and fatigue limit evaluation device
CN107423462A (en) * 2017-03-28 2017-12-01 中南大学 Workpiece considers the Prediction method for fatigue life and system of three-dimensional rough surface morphology
CN108829909A (en) * 2018-04-12 2018-11-16 西安建筑科技大学 A kind of faying face modeling method considering rough surface percent ripple and micro-bulge interaction
CN109359333A (en) * 2018-09-12 2019-02-19 大连理工大学 A kind of body Model construction method comprising multiple dimensioned shape characteristic
US20200096332A1 (en) * 2018-09-25 2020-03-26 Taiwan Semiconductor Manufacturing Co., Ltd. Line edge roughness analysis using atomic force microscopy
CN109299559A (en) * 2018-10-08 2019-02-01 重庆大学 A kind of Surface hardened layer gear wear and fatigue failure competition mechanism analysis method
CN111435401A (en) * 2018-12-25 2020-07-21 北京金风科创风电设备有限公司 Method and system for determining fatigue grade of welding seam
CN113049403A (en) * 2021-03-02 2021-06-29 宁波大学 Structural surface normal unloading shear damage test method considering morphology frequency spectrum characteristics
CN112989665A (en) * 2021-03-23 2021-06-18 重庆理工大学 Fatigue life analysis method for differential shell of electric drive assembly

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
程正坤等: "分形表面形貌对应力集中系数的影响", 《固体力学学报》 *

Also Published As

Publication number Publication date
CN115164768B (en) 2023-04-25

Similar Documents

Publication Publication Date Title
McCool Relating profile instrument measurements to the functional performance of rough surfaces
Suraratchai et al. Modelling the influence of machined surface roughness on the fatigue life of aluminium alloy
Aerens et al. Force prediction for single point incremental forming deduced from experimental and FEM observations
CN111625985A (en) Fatigue notch coefficient data processing method considering corrosion and residual stress
CN112257197B (en) Large-scale casting and forging piece micro-defect working stress assessment method
CN100470226C (en) Tooth-face contact-area quantized testing method
Mu et al. Study on rough surfaces: A novel method for high-precision simulation and interface contact performances analysis
CN115164768A (en) Three-dimensional surface roughness stress concentration and fatigue notch coefficient measuring method and application
Podulka et al. Roughness evaluation of turned composite surfaces by analysis of the shape of autocorrelation function
CN113688544A (en) Active-passive combined composite material damage quantitative identification method
CN109614758B (en) Method for monitoring circular shape error with spatial correlation
CN109492323B (en) High-precision inverse calculation method for initial residual stress of blank based on deformation test
Ball et al. Analytical and Experimental Investigation of Elastic–Plastic Strain Distributions at 2-D Notches
Sokolov Calculation of the stress-strain state of pneumatic tires by the finite element method
CN102519783B (en) Nondestructive measurement method for M-integral of multi-defective material
Ostachowicz et al. Novel techniques for damage detection based on mode shape analysis
Santus et al. Fatigue fracture surface investigations with a 3D optical profiler
Lee et al. Detection of stiffness degradation in laminated composite plates by filtered noisy impact testing
Lin et al. Modeling and experimental characterization of contact boundary tractions in non-conforming contact with random defects
Gray et al. Fatigue crack closure investigation using Moiré interferometry
Petrov On damage diagnostics of aircraft structures
Chandra et al. Parametrization and model validation for metal using J2 Plasticity and digital image correlation
Kühn et al. Model for the calculation of kinematic roughness in the tooth root
Kochetkov et al. Selection of Filter Methods in the Analysis and Measured of Geometry and Surface Roughness
Grechnikov et al. Selection of methods for filtering the signal when measuring at coordinate measuring machine

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant