CN109086529A - A method of Stress calculation function in Indentation strain method is determined based on strain increment under zero pressure - Google Patents

A method of Stress calculation function in Indentation strain method is determined based on strain increment under zero pressure Download PDF

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CN109086529A
CN109086529A CN201810888376.9A CN201810888376A CN109086529A CN 109086529 A CN109086529 A CN 109086529A CN 201810888376 A CN201810888376 A CN 201810888376A CN 109086529 A CN109086529 A CN 109086529A
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strain
stress
calculation function
indentation
increment
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CN109086529B (en
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陈静
阚盈
姜云禄
陈怀宁
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Institute of Metal Research of CAS
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    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N3/00—Investigating strength properties of solid materials by application of mechanical stress
    • G01N3/08—Investigating strength properties of solid materials by application of mechanical stress by applying steady tensile or compressive forces
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N3/00—Investigating strength properties of solid materials by application of mechanical stress
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    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00—Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/0014—Type of force applied
    • G01N2203/0016—Tensile or compressive
    • G01N2203/0017—Tensile
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00—Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/0058—Kind of property studied
    • G01N2203/0076—Hardness, compressibility or resistance to crushing
    • G01N2203/0078—Hardness, compressibility or resistance to crushing using indentation
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/06—Power analysis or power optimisation

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Abstract

The invention discloses a kind of methods for determining Indentation strain method Stress calculation function based on strain increment under zero stress, belong to residual stress test technical field.For this method using steel alloy class material as research object, Binding experiment calibration and simulated calibration obtain the strain increment Δ ε of unstressed material by indentation test first0；The mechanical property parameters of alloy steel material to be measured, yield strength σ are obtained by stretching experiment againy, tensile strength sigmab, yield tensile ratio σy/σbAnd yield strain εy；Mechanical property parameters are finally substituted into material stress to calculate in the uniform expression of function, the corresponding strain increment value of different elastic strains is calculated, can be obtained the Stress calculation function of the material according to cube fitting both sides relation.The present invention can fast and accurately obtain new alloy Steel material Indentation strain method Stress calculation function, realize that such material is nonstandard and determine in situation using the demand of Indentation strain method test residual stress.

Description

One kind determining Stress calculation function in Indentation strain method based on strain increment under zero pressure Method
Technical field
The present invention relates to residual stress test technical fields, and in particular to a kind of to determine pressure based on strain increment under zero stress The method of Stress calculation function in trace Strain Method.
Background technique
Indentation strain method is strain variable information (referred to as impression superposition strain increment, the abbreviation obtained according to impression induction Strain increment), by testing or simulating the relationship for calculating and obtaining between elastic strain and strain increment, i.e. Stress calculation function, It recycles Hooke's law and finds out a kind of almost lossless stress test method of residual stress in component.From the accuracy of test It sets out, it is the macroscopical variable quantity independent of Fine Texture of Material that itself, which is strain variation caused by impression, only It is related with material property and stress level, so the operation level and determining for Stress calculation function of accuracy and tester are tied Fruit is related.
The determination of Stress calculation function is the key that whether determining stress measurement accurately.Currently, Stress calculation function is really Establishing a capital is obtained using the method for experimental calibration, and rule is as shown in Figure 1.When experimental calibration, the stress shape of calibration test plate (panel) used State and test plate (panel) size have corresponding requirements, and for that can not provide qualified calibration test plate (panel), calibration experiment is unable to complete；Simultaneously The load implementation of elastic strain is also difficult to reach perfect condition.Although quoting finite element numerical simulation technology, stress may be implemented The non-experimental calibration of function is calculated, but grasps finite element simulation and accurate result can be obtained, for those of ordinary skill's hardly possible It spends very big.If the Stress calculation function of detected materials cannot be obtained accurately, it will hinder Indentation strain method in measurement stress Using.
Once have in the prior art and research was carried out to the calibration result of certain material using the method tested and simulation calculates [such as 1: Sun Yuan, Wang Qingming, Xia Fengfang of document waits analysis [J] machinery system of impression calibration experiment in residual stress measurement method It makes, 2006:44:70-72；Influence [D] Shenyang of 2: the Qu Pengcheng yield strength of document to Indentation strain method measurement residual stress: Metal Inst., Chinese Academy of Sciences, 2006；Document old Huaining of Kan Ying Jiang Yun Lu 3: Chen Jing, a kind of determined based on finite element modelling are pressed The method of trace Strain Method stress measurement constant, application number 201711277423.8], but not yet find any related material stress meter Calculate the research of non-calibration preparation method and application of function.
The present invention is directed to establish to answer in the nonstandard impression for determining in situation quickly accurately to obtain alloy steel material Political reform Stress calculation function, to facilitate the application of Indentation strain method test residual stress.
Summary of the invention
The purpose of the present invention is to provide one kind to determine Stress calculation in Indentation strain method based on strain increment under zero stress The method of function, passes through numerical simulation and experimental verification, it can be verified that calculation method provided by the invention can be quickly and accurately Obtain the Stress calculation function of alloy steel material.
To achieve the above object, the technical solution adopted in the present invention is as follows:
A method of Indentation strain method Stress calculation function being determined based on strain increment under zero stress, this method is using non- Scaling method, the strain that the strain increment and mechanical property that alloy steel material to be measured is obtained under zero stress bring the material into increase Amount calculates in the uniform expression of function, and then obtains the Stress calculation function of the material.This method comprises the following steps:
(1) impression strain increment Δ ε of the detected materials under zero stress is obtained by indentation test0；
(2) mechanical property parameters of detected materials are obtained by stretching experiment, the mechanical property parameters are yield tensile ratio σy/ σbAnd yield strain εy；The yield tensile ratio is the yield strength σ of materialyWith tensile strength sigmabRatio；
(3) the impression strain increment Δ ε for obtaining step (1) and step (2)0, yield tensile ratio σy/σbWith yield strain εyBand Enter material stress to calculate in the uniform expression i.e. formula (1) of function, it is right under different elastic strains to calculate acquisition detected materials The strain increment value answered；And the Stress calculation function of material is obtained using un-calibrated method；
In formula (1), z=Δ ε/Δ ε0, Δ ε0The impression strain increment for being detected materials under zero stress, Δ ε are to be measured Impression strain increment under other each stress of material；X is elastic strain ε and yield strain εyThe ratio between ε/εy, y is yield tensile ratio σy/σb, P1-p12 is the equation coefficients obtained using some known alloy steel material calibration results, in which: p1- [12 numerical value such as table 1.
Table 1
In step (1), before carrying out indentation test, detected materials is subjected to unstressed processing, cannot be changed in treatment process The mechanical property of material；Strain increment Δ ε under material zero stress0It is under the premise of not changing material original performance, by moving back The strain increment value obtained on the surface of the material using Indentation strain method after fiery or other elimination strain methods.
In step (3), the non-calibration process of Stress calculation function are as follows: according to each elastic strain calculated in step (3) Under strain increment, using elastic strain as abscissa, corresponding strain increment be ordinate, resulting data point [elastic strain ε, strain increment Δ ε] it is fitted according to 3 power functions progress data to get the Stress calculation function of Indentation strain method, such as formula is arrived (2)；
Δ ε=B0+B1ε+B2ε2+B3ε3(2)；
In formula (2), B0、B1、B2、B3It is the Stress calculation coefficient determined by formula (1).
The invention has the advantages that and the utility model has the advantages that
1, the method for the present invention is based on the strain increment and mechanical property under alloy steel material zero stress to be measured, by related parameter It brings known strain increment uniform expression into, can quickly and accurately obtain the Stress calculation function of the material, fully achieve The material is nonstandard to be determined in situation using the demand of Indentation strain method test residual stress.
2, the steel alloy class material strain incremental computations function uniform expression obtained using the present invention, facilitates user to expand The use scope of Indentation strain method, solving certain test occasions cannot be strained due to cannot get Stress calculation function using impression The problem of method.
Detailed description of the invention
Fig. 1 is that Indentation strain method Stress calculation function determines method schematic diagram.
Fig. 2 is non-calibration and the simulated calibration Comparative result of 1# material use formula 1.
Fig. 3 is non-calibration and the simulated calibration Comparative result of 2# material use formula 1.
Specific embodiment
The present invention is described in detail with attached drawing with reference to embodiments, wherein experimental calibration part is according to GB/T24179-2009 " gold Belong to material residual stress measure Indentation strain method " carry out, simulated calibration partly referring to document 3 (the old Huaining of Chen Jing Kan Ying Jiang Yun Lu, A method of Indentation strain method stress measurement constant, application number 201711277423.8 are determined based on finite element modelling) it carries out.
The present invention is the method for determining Indentation strain method Stress calculation function based on strain increment under zero stress, and this method is The uniform expression of function is calculated using alloy steel material Indentation strain method strain increment to realize the non-calibration side of detected materials Method, detailed process are as follows: firstly, obtaining the strain increment of unstressed material by indentation test；Secondly, being obtained by tension test The yield strength of material, tensile strength and yield strain；Then, parameters obtained is brought into unified table that strain increment calculates function Up to formula (formula 1), the strain increment under different elastic strains is calculated；Finally, determining each system in formula 2 using the above results Number, to realize that the non-calibration of Stress calculation function (i.e. formula 2) determines.
Embodiment 1:
The residual stress in 1# alloy steel material is thoroughly eliminated by means such as heat treatments first, nothing is obtained using indentation method The strain increment Δ ε of stress material0；Then the tensile property curve for obtaining 1# material, obtains yield strength σy, tensile strength sigmab With yield strain εy.It brings obtained parameter into strain increment uniform expression (i.e. formula 1), can obtain in -0.9 εy~0.9 εyThe relationship of section any elastic strain and strain increment；Acquired results are fitted by 3 powers, the equation of acquisition is as non- The Stress calculation function (i.e. formula 2) that scaling method obtains.
Fig. 2 is the non-calibration of 1# material use formula 1 and the comparison diagram of simulated calibration result.Comparing result is shown, nonstandard Determine method and simulated calibration result coincide it is fine.
Embodiment 2:
Impression strain increment Δ ε first by experiment acquisition alloy steel material 2# material under unstressed0；Obtain draftability Energy curve, obtains yield strength σy, tensile strength sigmabWith yield strain εy.Bring obtained parameter into strain increment Unified Expression Formula (i.e. formula 1), can obtain in -0.9 εy~0.9 εyThe relationship of section any elastic strain and strain increment；By acquired results It is fitted by 3 powers, the equation of acquisition is the Stress calculation function (i.e. formula 2) that un-calibrated method obtains.
Fig. 3 is the non-calibration of 2# material use formula 2 and the comparison diagram of simulated calibration result.Comparing result is shown, nonstandard Determine method and simulated calibration result coincide it is fine.

Claims (4)

1. a kind of method for determining Indentation strain method Stress calculation function based on strain increment under zero stress, it is characterised in that: should Method use un-calibrated method, by the unstressed situation of alloy steel material to be measured strain increment and mechanical property bring similar material into The strain increment of material calculates in the uniform expression of function, to obtain the Stress calculation function of the material.
2. the side according to claim 1 for determining Stress calculation function in Indentation strain method based on strain increment under zero stress Method, it is characterised in that: this method comprises the following steps:
(1) impression strain increment Δ ε of the detected materials under zero stress is obtained by indentation test0；
(2) mechanical property parameters of detected materials are obtained by stretching experiment, the mechanical property parameters are yield tensile ratio σy/σbAnd Yield strain εy；The yield tensile ratio is the yield strength σ of materialyWith tensile strength sigmabRatio；
(3) the impression strain increment Δ ε for obtaining step (1) and step (2)0, yield tensile ratio σy/σbWith yield strain εyBring material into In uniform expression, that is, formula (1) of Stress calculation function, calculates and obtain that detected materials are corresponding under different elastic strains answers Become incremental value；And the Stress calculation function of material is obtained using un-calibrated method；
In formula (1), z=Δ ε/Δ ε0, Δ ε0The impression strain increment for being detected materials under zero stress, Δ ε are detected materials Impression strain increment under other each stress；X is elastic strain ε and yield strain εyThe ratio between ε/εy, y is yield tensile ratio σy/σb, p1- P12 is the equation coefficients obtained using some known alloy steel material calibration results, in which: p1=1.026, p2=0.695, p3 =-1.229, p4=0.973, p5=-0.900, p6=-0.513, p7=-1.309, p8=0.544, p9=-1.210, p10 =-1.904, p11=-1.281, p12=1.149.
3. the side according to claim 1 for determining Stress calculation function in Indentation strain method based on strain increment under zero stress Method, it is characterised in that: the strain increment Δ ε in step (1), under material zero stress0It is not change material original performance premise Under, by annealing or it is other eliminate strain method after the strain increment value that is obtained on the surface of the material using Indentation strain method.
4. the side according to claim 2 for determining Stress calculation function in Indentation strain method based on strain increment under zero stress Method, it is characterised in that: in step (3), the non-calibration process of Stress calculation function are as follows: according to each bullet calculated in step (3) Property the lower strain increment of strain, using elastic strain as abscissa, corresponding strain increment is ordinate, resulting data point [bullet Property strain stress, strain increment Δ ε] according to 3 power functions carry out data fitting to get arrive Indentation strain method Stress calculation function, Such as formula (2)；
Δ ε=B0+B1ε+B2ε2+B3ε3(2)；
In formula (2), B0、B1、B2、B3It is the Stress calculation coefficient determined by formula (1).
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Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101975693A (en) * 2010-10-11 2011-02-16 肖锋 Data measuring and calculating method for uniaxial tensile test
JP2012238168A (en) * 2011-05-11 2012-12-06 Sumitomo Rubber Ind Ltd Rubber material simulation method
CN107024401A (en) * 2017-04-20 2017-08-08 西北工业大学 Obtain the method and system of metal material anisotropy and tension and compression asymmetry
CN108133082A (en) * 2017-12-06 2018-06-08 中国科学院金属研究所 A kind of method that stress measurement constant in Indentation strain method is determined based on finite element modelling
CN108254250A (en) * 2017-12-30 2018-07-06 北京工业大学 A kind of heat engine Multiaxial stress strain stress relation for considering dynamic strain aging influence determines method

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101975693A (en) * 2010-10-11 2011-02-16 肖锋 Data measuring and calculating method for uniaxial tensile test
JP2012238168A (en) * 2011-05-11 2012-12-06 Sumitomo Rubber Ind Ltd Rubber material simulation method
CN107024401A (en) * 2017-04-20 2017-08-08 西北工业大学 Obtain the method and system of metal material anisotropy and tension and compression asymmetry
CN108133082A (en) * 2017-12-06 2018-06-08 中国科学院金属研究所 A kind of method that stress measurement constant in Indentation strain method is determined based on finite element modelling
CN108254250A (en) * 2017-12-30 2018-07-06 北京工业大学 A kind of heat engine Multiaxial stress strain stress relation for considering dynamic strain aging influence determines method

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