CN109632489A - A kind of Metal Material Fatigue crack propagation model construction method based on monotonic tension parameter - Google Patents

A kind of Metal Material Fatigue crack propagation model construction method based on monotonic tension parameter Download PDF

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CN109632489A
CN109632489A CN201910039259.XA CN201910039259A CN109632489A CN 109632489 A CN109632489 A CN 109632489A CN 201910039259 A CN201910039259 A CN 201910039259A CN 109632489 A CN109632489 A CN 109632489A
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growth rate
parameter
model
crack growth
fatigue
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CN109632489B (en
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吴圣川
李存海
康国政
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Southwest Jiaotong University
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    • 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
    • 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
    • G01N2203/006—Crack, flaws, fracture or rupture
    • G01N2203/0062—Crack or flaws
    • G01N2203/0066—Propagation of crack
    • 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
    • G01N2203/02—Details not specific for a particular testing method
    • G01N2203/0202—Control of the test
    • G01N2203/0212—Theories, calculations
    • G01N2203/0218—Calculations based on experimental data

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Abstract

The invention discloses a kind of Metal Material Fatigue crack propagation model construction method based on monotonic tension parameter, comprising the following steps: step 1: the crack growth rate model based on linear progressive damage is obtained；Step 2: low-cycle fatigue parameter is characterized with monotonic tension parameter；Step 3: step 2 is obtained into the crack growth rate model based on linear cumulative damage that result is brought into step 1 up to required crack growth rate model；The present invention establishes the relationship between monotonic tension parameter and low-cycle fatigue parameter, is characterized with monotonic tension parameter to model, and the prediction for avoiding experimentation cost and cumbersome calculating process and crack growth rate high in low cycle fatigue test is more accurate.

Description

A kind of Metal Material Fatigue crack propagation model building based on monotonic tension parameter Method
Technical field
The present invention relates to Metal Material Fatigue crack propagation model construction methods, and in particular to one kind is joined based on monotonic tension Several Metal Material Fatigue crack propagation model construction methods.
Background technique
It is general by crack growth rate test acquisition correlation test data and according to Paris formula fitting in engineering, it obtains Relationship between crack growth rate and stress intensity factor Δ K:
In formula: C and m is constant relevant to material, can be obtained by test data fitting, and crack length a and circulation Times N is the long and corresponding cycle-index of crackle half respectively, can be measured in test；But the program needs crack growth rate Test value, and the crack growth rate measured can be because of (the variation of environmental condition in such as measurement error, test of some objective factors Deng) influence will appear biggish discreteness, and then affect the fitting precision of Paris formula.
In view of the deficiency of Paris formula, domestic and foreign scholars establish crack growth rate model according to material property, such as Corresponding model is established based on the relationship between low-cycle fatigue parameter and crack growth rate；Although recent domestic scholar couple The crack growth rate model of low-cycle fatigue parameter characterization carries out the amendment of the factors such as crack closure effect；But since low week is tired The unstability of labor parameter testing, the parameter value obtained in test are possible to deviate true value, cause crack growth rate pre- Model is surveyed to differ greatly with true value；It is not able to satisfy the demand of engineer application, and determining for low-cycle fatigue parameter needs more Cumbersome test and solution procedure, can consume a large amount of man power and material.
Summary of the invention
The present invention provides a kind of base for avoiding experimentation cost and cumbersome calculating process high in low cycle fatigue test In the Metal Material Fatigue crack propagation model construction method of monotonic tension parameter.
The technical solution adopted by the present invention is that:
A kind of Metal Material Fatigue crack propagation model construction method based on monotonic tension parameter, comprising the following steps:
Step 1: obtain the crack growth rate model based on linear progressive damage:
In formula: a is crack length, and N is cycle-index, and da/dN is crack growth rate, and U is crack closure parameter, σycFor Yield stress is recycled, c is fatigue ductility index, and n ' is cyclic strain hardening exponent, εf' it is fatigue ductility index, E is springform Amount, Δ K are stress intensity factor range, Δ KthFor stress intensity factor range threshold value；
Step 2: closure parameter U is characterized as below by stress ratio R's:
U=0.4854+0.3536R+0.1686R2 (2)
Step 3: low-cycle fatigue parameter is characterized with monotonic tension parameter, including the following contents:
Yield stress σ will be recycledycWith ultimate tensile σbWith yield limit σ0.2It is characterized
Step 4: bringing formula (2) and formula (3) into formula (1) up to required crack growth rate model.
Further, further comprising the steps of:
Intensity of circulation COEFFICIENT K ' by strength factor K is characterized:
K '=8K0.719 (4)
Cyclic strain hardening coefficient passes throughIt is estimated:
Formula (5) is brought into model that step 4 obtains up to required crack growth rate model.
Further, further comprising the steps of:
Fatigue ductility index is broken true strain ε by namefWith ultimate tensile σbWith yield limit σ0.2Ratio is characterized:
Wherein:%RA is section shrinkage percentage；
Formula (6) is brought into model that step 4 obtains up to required crack growth rate model.
Further, further comprising the steps of:
Fatigue ductile coefficient is characterized:
It brings formula (7) into step 4 and obtains model up to required crack growth rate model；
Wherein:%RA is section shrinkage percentage.
The beneficial effects of the present invention are:
(1) present invention establishes the relationship between monotonic tension parameter and low-cycle fatigue parameter, with monotonic tension parameter to mould Type is characterized, and experimentation cost high in low cycle fatigue test and cumbersome calculating process are avoided；
(2) present invention considers the dispersibility of low-cycle fatigue parameter, and the uncertainty for avoiding single low-cycle fatigue parameter is right The prediction of the influence of crack growth rate, crack growth rate is more accurate；
(3) present invention can be suitably applied to that low cycle fatigue test can not be completed in a short time due to material characteristic, or because material compared with The new material for making low cycle fatigue test with high costs for valuableness can meet the needs of engineer application.
Detailed description of the invention
Fig. 1 is that the method for the present invention and conventional method show the comparison of Ti-6Al-4V titanium alloy crack growth rate prediction result It is intended to.
Fig. 2 is the method for the present invention and conventional method to 8630 steel crack growth rate prediction result contrast schematic diagrams.
Fig. 3 is the method for the present invention and conventional method to 10Ni steel crack growth rate prediction result contrast schematic diagram.
Fig. 4 is the method for the present invention and conventional method to SAE1050 steel crack growth rate prediction result contrast schematic diagram.
Specific embodiment
The present invention will be further described in the following with reference to the drawings and specific embodiments.
A kind of Metal Material Fatigue crack propagation model construction method based on monotonic tension parameter, comprising the following steps:
Step 1: obtain the crack growth rate model based on linear progressive damage:
In formula: a is crack length, and N is cycle-index, and da/dN is crack growth rate, and U is crack closure parameter, σycFor Yield stress is recycled, c is fatigue ductility index, and n ' is cyclic strain hardening exponent, εf' it is fatigue ductility index, E is springform Amount, Δ K are stress intensity factor range, Δ KthFor stress intensity factor range threshold value；
Step 2: closure parameter U is characterized as below by stress ratio R's:
U=0.4854+0.3536R+0.1686R2 (2)
Step 2: it includes the following contents that low-cycle fatigue parameter, which is carried out characterization with monotonic tension parameter:
(1) yield stress σ will be recycledycWith ultimate tensile σbWith yield limit σ0.2It is characterized:
(2) characterize intensity of circulation COEFFICIENT K ' by strength factor K: following relational expressions pass through relevant test data Fitting, determines the relationship of two parameter:
K '=8K0.719 (4)
(3) cyclic strain hardening coefficient passes throughIt is estimated:
(4) fatigue ductility index is broken true strain ε by namefWith ultimate tensile σbWith yield limit σ0.2Ratio carries out table Sign:
Wherein:%RA is section shrinkage percentage；
Name fracture true strain can not be usually directly obtained in monotonic tension test, but it has with section shrinkage percentage There is good corresponding relationship.
(5) fatigue ductile coefficient is characterized:
Step 3: bringing formula (2), (4), (5), (6) and (7) into formula (1) up to required crack growth rate model.
The crack growth rate of several typical metal materials is predicted using the model that this patent is established below, together When with conventional model prediction crack growth rate and experimental data be compared, as a result as shown in Figure 1 to 4.
Compare the experimental data point for including in FIG. 1 to FIG. 4, model of the present invention (calculating parameter matched curve) and conventional model Predict the fatigue crack growth rate curve of (initial parameter matched curve)；As can be seen that Ti-6Al-4V titanium alloy, 8630 steel, 10Ni steel, SAE1050 steel crack growth rate prediction in, the prediction of the crack growth rate of conventional model has completely offset from reality Test value；And model of the present invention can coincide with experimental data well；Illustrate conventional model existing defects in engineer application, these Defect be as model parameter setting itself is unreasonable or parameter acquisition modes it is not perfect caused by.And model of the present invention is just It is to be directed to conventional model existing defects, for the uncertainty of low-cycle fatigue parametric measurement, and what revised obtained；Low week is tired The uncertainty of labor parametric measurement is caused by the uncontrollable conditions such as variation and measurement error as environment temperature, and of the invention It is that monotonic tension parameter overcomes this problem by low-cycle fatigue Parameter Switch.
The present invention by opening relationships between monotonic tension parameter and low-cycle fatigue parameter, with monotonic tension parameter to model into Row characterization, avoids experimentation cost high in low cycle fatigue test and cumbersome calculating process；With monotonic tension parameter pair When low-cycle fatigue parameter is characterized, the dispersibility of low-cycle fatigue parameter can also be considered, and avoid single low-cycle fatigue parameter Uncertain Crack Propagation Rate influence, and then predict more accurate crack growth rate；And due to some new Material because material characteristic can not complete in a short time low cycle fatigue test or because material costly due to try low-cycle fatigue Test cost extremely it is high when, monotonic tension parameter can complete the estimation of Crack Propagation Rate, to engineering problem have it is important Theory and practice meaning.

Claims (4)

1. a kind of Metal Material Fatigue crack propagation model construction method based on monotonic tension parameter, which is characterized in that including Following steps:
Step 1: obtain the crack growth rate model based on linear progressive damage:
In formula: a is crack length, and N is cycle-index, and da/dN is crack growth rate, and U is crack closure parameter, σycFor circulation Yield stress, c are fatigue ductility index, and n ' is cyclic strain hardening exponent, εf' it is fatigue ductility index, E is elasticity modulus, Δ K is stress intensity factor range, Δ KthFor stress intensity factor range threshold value；
Step 2: closure parameter U is characterized as below by stress ratio R's:
U=0.4854+0.3536R+0.1686R2 (2)
Step 3: low-cycle fatigue parameter is characterized with monotonic tension parameter, including the following contents:
Yield stress σ will be recycledycWith ultimate tensile σbWith yield limit σ0.2It is characterized
Step 4: bringing formula (2) and formula (3) into formula (1) up to required crack growth rate model.
2. a kind of Metal Material Fatigue crack propagation model building side based on monotonic tension parameter according to claim 1 Method, which is characterized in that further comprising the steps of:
Intensity of circulation COEFFICIENT K ' by strength factor K is characterized:
K '=8K0.719 (4)
Cyclic strain hardening coefficient passes throughIt is estimated:
Formula (5) is brought into model that step 4 obtains up to required crack growth rate model.
3. a kind of Metal Material Fatigue crack propagation model building side based on monotonic tension parameter according to claim 1 Method, which is characterized in that further comprising the steps of:
Fatigue ductility index is broken true strain ε by namefWith ultimate tensile σb, yield limit σ0.2Ratio is characterized:
Wherein:%RA is section shrinkage percentage；
Formula (6) is brought into model that step 4 obtains up to required crack growth rate model.
4. a kind of Metal Material Fatigue crack propagation model building side based on monotonic tension parameter according to claim 1 Method, which is characterized in that further comprising the steps of:
Fatigue ductile coefficient is characterized:
It brings formula (7) into step 4 and obtains model up to required crack growth rate model；
Wherein:%RA is section shrinkage percentage.
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CN112285140A (en) * 2020-10-20 2021-01-29 北京航空航天大学 Quantitative characterization method for early-stage propagation rate of internal crack of single crystal ultrahigh cycle fatigue
CN112362477A (en) * 2020-11-19 2021-02-12 国家电网有限公司 Low-cycle fatigue performance evaluation method for insulator steel leg material of power transmission and transformation line
CN113033010A (en) * 2021-03-30 2021-06-25 中国工程物理研究院研究生院 Crack propagation rate model for small cracks and method for performing crack propagation rate modeling on titanium alloy material
US20240012958A1 (en) * 2022-07-11 2024-01-11 Tianjin University Approach for characterizing propagation of metallic short cracks and long cracks

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Publication number Priority date Publication date Assignee Title
CN112285140A (en) * 2020-10-20 2021-01-29 北京航空航天大学 Quantitative characterization method for early-stage propagation rate of internal crack of single crystal ultrahigh cycle fatigue
CN112362477A (en) * 2020-11-19 2021-02-12 国家电网有限公司 Low-cycle fatigue performance evaluation method for insulator steel leg material of power transmission and transformation line
CN113033010A (en) * 2021-03-30 2021-06-25 中国工程物理研究院研究生院 Crack propagation rate model for small cracks and method for performing crack propagation rate modeling on titanium alloy material
CN113033010B (en) * 2021-03-30 2022-07-01 中国工程物理研究院研究生院 Crack propagation rate model for small cracks and method for performing crack propagation rate modeling on titanium alloy material
US20240012958A1 (en) * 2022-07-11 2024-01-11 Tianjin University Approach for characterizing propagation of metallic short cracks and long cracks
US11907624B2 (en) * 2022-07-11 2024-02-20 Tianjin University Approach for characterizing propagation of metallic short cracks and long cracks

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