CN107729596A - A kind of method calculated for material damage - Google Patents

A kind of method calculated for material damage Download PDF

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Publication number
CN107729596A
CN107729596A CN201710751231.XA CN201710751231A CN107729596A CN 107729596 A CN107729596 A CN 107729596A CN 201710751231 A CN201710751231 A CN 201710751231A CN 107729596 A CN107729596 A CN 107729596A
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msub
mrow
calculated
detected materials
damage
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陈浩
杨亚莉
张胜伟
高坤
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Shanghai University of Engineering Science
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Shanghai University of Engineering Science
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • G06F30/23Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N23/00Investigating or analysing materials by the use of wave or particle radiation, e.g. X-rays or neutrons, not covered by groups G01N3/00 – G01N17/00, G01N21/00 or G01N22/00
    • G01N23/02Investigating or analysing materials by the use of wave or particle radiation, e.g. X-rays or neutrons, not covered by groups G01N3/00 – G01N17/00, G01N21/00 or G01N22/00 by transmitting the radiation through the material
    • G01N23/04Investigating or analysing materials by the use of wave or particle radiation, e.g. X-rays or neutrons, not covered by groups G01N3/00 – G01N17/00, G01N21/00 or G01N22/00 by transmitting the radiation through the material and forming images of the material
    • G01N23/046Investigating or analysing materials by the use of wave or particle radiation, e.g. X-rays or neutrons, not covered by groups G01N3/00 – G01N17/00, G01N21/00 or G01N22/00 by transmitting the radiation through the material and forming images of the material using tomography, e.g. computed tomography [CT]
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2223/00Investigating materials by wave or particle radiation
    • G01N2223/40Imaging
    • G01N2223/419Imaging computed tomograph
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2223/00Investigating materials by wave or particle radiation
    • G01N2223/60Specific applications or type of materials
    • G01N2223/624Specific applications or type of materials steel, castings
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2223/00Investigating materials by wave or particle radiation
    • G01N2223/60Specific applications or type of materials
    • G01N2223/646Specific applications or type of materials flaws, defects

Abstract

The present invention relates to a kind of method calculated for material damage, comprise the following steps:(1) detected materials are subjected to CT scan, the N of the scanning area of detected materials is then obtained by VG Studio software statisticsm、Nc、AmAnd Ac;(2) parameter that step (1) obtains is calculated to the porosity ρ and damaged area fraction r of detected materials scanning area by Diego algorithmsa, then obtain maximum damaged area fraction(3) threedimensional model of step (1) is converted into by three-dimensional finite element model by MIMICS, carries out damage simulation analysis using Abaqus, effective modulus of elasticity is calculated;(4) effective modulus of elasticity for obtaining step (3) finite element analysis computation obtains the degree of the fatigue damage of detected materials compared with database.Compared with prior art, the present invention can quickly calculate material damage value and carry out life prediction, and the degree of accuracy is higher in the case where not destroying material.

Description

A kind of method calculated for material damage
Technical field
The present invention relates to material fatigue damage technical field, and in particular to a kind of method calculated for material damage.
Background technology
While extensive application with aluminium alloy, fatigue load also more and more higher, automotive safety regulation during use It is increasingly stricter, therefore, just become more and more urgent and important to fatigue mechanics behavioral study of the aluminium alloy under cyclic loading. But it is limited to the method for material fatigue damage evaluation at present, material internal microdefect characteristic can not be accurately obtained, and evaluate Result often produce larger difference with actual value.
Recently conventional non-destructive testing technology:Ray detection, ultrasound detection, Magnetic testing, eddy current inspection etc. can be not Internal flaw is directly obtained on the premise of destroying material, as patent CN 106770692A disclose a kind of material internal fatigue damage Hinder detection method, including:Sample to be tested is tested using the excitation signals of opposite in phase, obtains two-way reception signal;By institute The superposition of two-way reception signal is stated, obtains the higher hamonic wave signal of reception signal;Fourier change is carried out to the higher hamonic wave signal Get its amplitude, and amplitude and the nonlinear factor of the amplitude calculating sample to be tested of fundamental wave according to higher hamonic wave in return;In repetition Step is stated, obtains the change curve of each tired cycle nonlinear factor of sample to be tested;The above method is stated and ultrasound detection.For another example Patent CN 105973732A disclose a kind of on-line loaded apparatus and method of temperature disturbance fatigue test, and described device includes: Sweat box, reluctance head, exciting rod, vibrator and TT&C system;The sweat box is connected with the TT&C system, the sweat box Preset height at be surrounded by glass window;The testpieces surface that the reluctance head is fixed on inside sweat box, at the same with institute The first end for stating exciting rod connects with the TT&C system;The first end of the exciting rod is passed through above the sweat box side wall Hole is connected with the reluctance head, and the second end is connected with the vibrator;The vibrator is located at sweat box side with holes, It is connected with the TT&C system, the above method is stated and ray detection.But above-mentioned detection method instrument cost is higher.
The content of the invention
It is an object of the present invention to overcome the above-mentioned drawbacks of the prior art and provide a kind of inexpensive is used for The method that material damage calculates.
The purpose of the present invention can be achieved through the following technical solutions:A kind of method calculated for material damage, should Method comprises the following steps:
(1) detected materials are subjected to CT scan, obtain the two-dimentional serial section image of material internal microdefect characteristic, and Two-dimensional slice image is reconstructed into the threedimensional model for including microdefect characteristic, this reconstruct can be by CT scan equipment voluntarily Complete, statistics obtains the material voxel N of the scanning area of detected materialsm, crackle number of voxel NcAnd a certain section of scanning area Upper material voxel AmWith the quantity A of crackle voxelc
(2) parameter that step (1) obtains is calculated to the porosity ρ of detected materials scanning area by Diego algorithms With damaged area fraction ra, then obtain maximum damaged area fraction
(3) checkout result obtained by step (1) parameters obtained and step (2) is inputted into MIMICS softwares, and passed through The threedimensional model of step (1) is converted into three-dimensional finite element model by MIMICS, is carried out damage simulation analysis using Abaqus, is calculated Obtain effective modulus of elasticity;
(4) effective modulus of elasticity for obtaining step (3) finite element analysis computation obtains to be measured compared with database The degree of the fatigue damage of material.
Can be in the case where not destroying material, soon by industry CT Non-Destructive Testing, three-dimensionalreconstruction and Finite Element The calculating material damage value of speed simultaneously carries out life prediction.
The CT surface sweepings are X-Ray CT scan.
Count to obtain N from threedimensional modelm、Nc、AmAnd AcObtained using VG Studio software statistics.
Described Diego algorithms include below equation:
Wherein, i, j, k are orthogonal three directions in scanning area.
The Abaqus softwares be calculated during damage simulation analysis using below equation:
Wherein, F is loading force when detected materials use, and A is sample testing area cross-sectional area, and L is the sample testing head of district Degree, Δ L are the longitudinal deformation amount under stress suffered by detected materials.
The database obtains by the following method:The standard material with detected materials phase same material is taken, is carried out interim Fatigue loading and calculates the effective modulus of elasticity in each stage until standard material destroys completely, obtain effective modulus of elasticity with The corresponding relation of fatigue stage, as database.
The degree of the fatigue damage of the detected materials obtains by the following method:Have what finite element analysis computation obtained Modulus of elasticity is imitated compared with the effective modulus of elasticity in database, determines fatigue stage corresponding to detected materials.Valid round Property modulus and degree of injury are negatively correlated.
Compared with prior art, beneficial effects of the present invention are embodied in following several respects:
(1) present invention utilizes industry CT Non-Destructive Testing, three-dimensionalreconstruction and Finite Element, can not destroy material In the case of, quickly calculate material damage value and carry out life prediction;
(2) testing result is compared with legitimate reading, and error is within 10%.
Brief description of the drawings
Fig. 1 illustrates for i, j, k plane used in Diego algorithms in the present invention;
Fig. 2 is the corresponding relation figure of aluminum alloy specimen modulus of elasticity and fatigue loading number in comparative example;
Fig. 3 is embodiment 1 and comparative example Elastic Modulus and the corresponding relation figure of fatigue loading number.
Embodiment
Embodiments of the invention are elaborated below, the present embodiment is carried out lower premised on technical solution of the present invention Implement, give detailed embodiment and specific operating process, but protection scope of the present invention is not limited to following implementation Example.
Comparative example 1
Take aluminum alloy specimen, carry out fatigue test, fatigue test instrument is MTS810, testing machine maximum pull 25KN, quiet Force-stroke 183mm, dynamic stroke 152mm.For the maximum test load used for 4300N, stress ratio R is 0.1, and test frequency is 10Hz, it is 4300N to obtain the load value that sample is broken through 20000 fatigue and cyclics by lot of experiments first, and sample is existed Interim loading is carried out respectively under 4300N fatigue loads until destroying completely.It can be obtained by the processing to fatigue data To the change of elasticity modulus of materials.As a result it is as shown in Figure 2.
It can be seen that modulus of elasticity is integrally on a declining curve with the increase of cycle-index.Incipient stage, lower reduction of speed Rate is smaller, and elastic modulus change is smaller;Close near critical fatigue and cyclic point, the speed of decline becomes big.This explanation aluminium Alloy incipient stage crack initiation and increasess slowly in the case where being acted on by fatigue and cyclic load, material damage degradation ratio very little, when Increased sharply close to (this experiment 21200 times) microdefect during fatigue limit value, material loaded area reduces, and modulus of elasticity is degenerated Substantially, there is moment fracture.
Embodiment 1
Take with comparative example identical aluminum alloy specimen, by 4000 cycles, 8000 cycles, 12000 cycles, 16000 cycles, The fatigue and cyclic experiment of 20000 cycles, the damage test specimens of five obtained different phases carry out CT scan, the electric current of CT system and Identification of the voltage to defect is extremely important, and present scan setting CT voltage is at least 120 volts, and electric current is 80 milliamperes.
Using Diego algorithms the data of CT scan are carried out with the formula of three-dimensionalreconstruction and breakdown diagnosis, wherein Diego algorithms It is as follows:
In formula, NmAnd NcRefer to the material voxel and crackle number of voxel of scanning material area respectively. AmAnd AcIt is the quantity of material voxel and crackle voxel on a certain cross section of scanning material area.ρ and raRepresent respectively porosity and Damaged area fraction.It is maximum damaged area fraction on all i, j, k directions section.Herein, maximum area fraction is Refer to the maximum damaged area fraction on a coordinate direction of any possible position in scanning material area, specifically such as Fig. 1 institutes Show.
It is simple to carry out by running XCT.exe (the enforceability file of Diego algorithms) loading sample scans data automatically Correlation can export the parameter of the needs such as porosity, damaged area fraction in dos window after setting.Following table is different fatigue damage Hinder the numerical result of porosity that sample is calculated by Diego algorithms and damaged area fraction.
Table is based on Diego algorithm Damage Parameter numerical results
Diego algorithms export 460 two dimension slicings to a sample, and the section is carried out to carry out Three-dimensional Gravity in MIMICS Structure simultaneously carries out that grid is imported into the elastic-plastic analysis that ABAQUS carries out sample after mesh generation.
From it is existing research and herein test, with the increase of cycle-index, that is, the increase damaged, modulus of elasticity with Residual intensity can all reduce, negatively correlated relation.Effective modulus of elasticity is defined herein describes it with damage variation relation, valid round The computational methods of property modulus are:Linear deformation under the stress is obtained by simulation calculation, then strain now is, effectively Modulus of elasticity calculation formula is as follows:
After being computed, by the result of the E that the present embodiment obtains and the elastic modulus E of comparative example 1 as shown in figure 3, with it is right After the modulus of elasticity of ratio is compared, error is within 10%.Therefore, found by contrasting, the present invention passes through the lossless inspections of CT The effective modulus of elasticity that survey, three-dimensionalreconstruction and Finite Element obtain is obvious with the increase variation tendency of fatigue life cycle, , can be as the Important Parameters of evaluation fatigue damage and error is within 10%.

Claims (7)

  1. A kind of 1. method calculated for material damage, it is characterised in that this method comprises the following steps:
    (1) detected materials are subjected to CT scan, obtain the two-dimentional serial section image of material internal microdefect characteristic, and by two Dimension sectioning image is reconstructed into the threedimensional model for including microdefect characteristic, and then statistics obtains the material of the scanning area of detected materials Expect voxel Nm, crackle number of voxel NcAnd material voxel A on a certain section of scanning areamWith the quantity A of crackle voxelc
    (2) parameter that step (1) obtains is calculated to the porosity ρ and damage of detected materials scanning area by Diego algorithms Hinder area fraction ra, then obtain maximum damaged area fraction
    (3) checkout result obtained by step (1) parameters obtained and step (2) is inputted into MIMICS softwares, and will by MIMICS The threedimensional model of step (1) is converted into three-dimensional finite element model, carries out damage simulation analysis using Abaqus, is calculated effectively Modulus of elasticity;
    (4) effective modulus of elasticity for obtaining step (3) finite element analysis computation obtains detected materials compared with database Fatigue damage degree.
  2. 2. a kind of method calculated for material damage according to claim 1, it is characterised in that the CT surface sweepings are X- Ray CT scan.
  3. 3. a kind of method calculated for material damage according to claim 1, it is characterised in that counted from threedimensional model Obtain Nm、Nc、AmAnd AcObtained using VG Studio software statistics.
  4. 4. a kind of method calculated for material damage according to claim 1, it is characterised in that described Diego is calculated Method includes below equation:
    <mrow> <mi>&amp;rho;</mi> <mo>=</mo> <mfrac> <msub> <mi>N</mi> <mi>c</mi> </msub> <mrow> <msub> <mi>N</mi> <mi>c</mi> </msub> <mo>+</mo> <msub> <mi>N</mi> <mi>m</mi> </msub> </mrow> </mfrac> <mo>;</mo> </mrow>
    <mrow> <msub> <mi>r</mi> <mi>a</mi> </msub> <mo>=</mo> <mfrac> <msub> <mi>A</mi> <mi>c</mi> </msub> <mrow> <msub> <mi>A</mi> <mi>c</mi> </msub> <mo>+</mo> <msub> <mi>A</mi> <mi>m</mi> </msub> </mrow> </mfrac> <mo>;</mo> </mrow>
    <mrow> <mover> <mi>r</mi> <mo>^</mo> </mover> <mo>=</mo> <mi>arg</mi> <mi> </mi> <msub> <mi>max</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> <mo>,</mo> <mi>k</mi> </mrow> </msub> <msub> <mi>r</mi> <mi>a</mi> </msub> <mo>;</mo> </mrow>
    Wherein, i, j, k are orthogonal three directions in scanning area.
  5. A kind of 5. method calculated for material damage according to claim 1, it is characterised in that the Abaqus softwares Be calculated during damage simulation analysis using below equation:
    <mrow> <mi>E</mi> <mo>=</mo> <mfrac> <mrow> <mi>F</mi> <mo>/</mo> <mi>A</mi> </mrow> <mrow> <mi>&amp;Delta;</mi> <mi>L</mi> <mo>/</mo> <mi>L</mi> </mrow> </mfrac> <mo>;</mo> </mrow>
    Wherein, F is loading force when detected materials use, and A is sample testing area cross-sectional area, and L is sample testing section length, Δ L is the longitudinal deformation amount under stress suffered by detected materials.
  6. 6. a kind of method calculated for material damage according to claim 1, it is characterised in that the database passes through Following methods obtain:The standard material with detected materials phase same material is taken, carries out interim fatigue loading until standard material is complete It is complete to destroy, and the effective modulus of elasticity in each stage is calculated, effective modulus of elasticity and the corresponding relation of fatigue stage are obtained, is Database.
  7. 7. a kind of method calculated for material damage according to claim 6, it is characterised in that the detected materials The degree of fatigue damage obtains by the following method:In effective modulus of elasticity and database that finite element analysis computation is obtained Effective modulus of elasticity is compared, and determines fatigue stage corresponding to detected materials.
CN201710751231.XA 2017-08-28 2017-08-28 A kind of method calculated for material damage Pending CN107729596A (en)

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Cited By (5)

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Publication number Priority date Publication date Assignee Title
CN109102488A (en) * 2018-04-26 2018-12-28 东南大学 A method of the geometry enlarge-effect research interface based on flat plate sample
CN109596657A (en) * 2018-11-29 2019-04-09 石家庄铁道大学 High-speed EMUs EEF bogie moving component early defect extensive diagnostic method
CN111024499A (en) * 2019-12-25 2020-04-17 三峡大学 Method for researching stratum-advancing type deterioration rule of rock
CN113870952A (en) * 2021-08-18 2021-12-31 哈尔滨工程大学 Elastic modulus calculation method based on trans-scale polycrystalline aluminum material under radiation damage
CN116223224A (en) * 2023-05-08 2023-06-06 山东清洋新材料有限公司 Method for detecting influence of curing agent on mechanical properties of product based on image processing

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Cited By (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109102488A (en) * 2018-04-26 2018-12-28 东南大学 A method of the geometry enlarge-effect research interface based on flat plate sample
CN109596657A (en) * 2018-11-29 2019-04-09 石家庄铁道大学 High-speed EMUs EEF bogie moving component early defect extensive diagnostic method
CN111024499A (en) * 2019-12-25 2020-04-17 三峡大学 Method for researching stratum-advancing type deterioration rule of rock
CN111024499B (en) * 2019-12-25 2022-04-22 三峡大学 Method for researching stratum-advancing type deterioration rule of rock
CN113870952A (en) * 2021-08-18 2021-12-31 哈尔滨工程大学 Elastic modulus calculation method based on trans-scale polycrystalline aluminum material under radiation damage
CN113870952B (en) * 2021-08-18 2024-04-23 哈尔滨工程大学 Elastic modulus calculation method based on trans-scale polycrystalline aluminum material under radiation damage
CN116223224A (en) * 2023-05-08 2023-06-06 山东清洋新材料有限公司 Method for detecting influence of curing agent on mechanical properties of product based on image processing
CN116223224B (en) * 2023-05-08 2023-08-11 山东清洋新材料有限公司 Method for detecting influence of curing agent on mechanical properties of product based on image processing

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