CN105260574B - A kind of all Multiaxial Fatigue Life Prediction methods of height based on critical surface method Fatigue criteria - Google Patents
A kind of all Multiaxial Fatigue Life Prediction methods of height based on critical surface method Fatigue criteria Download PDFInfo
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Abstract
The all Multiaxial Fatigue Life Prediction methods of height that the present invention provides a kind of based on critical surface method Fatigue criteria, are related to fatigue strength field, steps of the method are：(1) the high all non-proportional loading criterion of construction.(2) situation is loaded by substituting into two kinds of uniaxial loadings and pulsating cyclic, derives that parameter in formula (3) reads high all multiaxis Identical loading test datas, determines critical surface position.(4) by the shear stress width on calculated critical surface, direct stress width and mean normal stress, equivalent stress width is calculated using formula.(5) stress- life is utilized, the high-Cycle Fatigue Life Prediction under multiaxis constant amplitude loading is calculated.The method of proposition carries out the high-Cycle Fatigue Life Prediction estimation under multiaxis constant amplitude loading and obtains preferable prediction effect.
Description
Technical field
The present invention relates to metal non-proportional loading strength fields, refer in particular to the high-cycle fatigue life under multiaxis constant amplitude loading
Method.
Background technology
The Fatigue Failures of machinery are one of the main reason for causing in commission machine components and component failure.Example
Such as in aircraft, ship, engineering machinery field, machine components and component often bear the effect of complicated alternating load for a long time, most
Eventually since fatigue failure causes accident to account for 80 or more the percent of total failare factor.Have at present in single shaft fatigue field and compares
Perfect theory simultaneously has accumulated mass data and experience, but practical in commission each major mechanical parts be typically subjected to it is complicated
The effect of Multiaxial Proportional and nonproportional cycle loading.Due to multi-axis stress state, the variation of direction of crack propagation, load history
Complexity, so traditional single shaft fatigue strength theory has been not suitable with present design requirement, instead non-proportional loading
Strength theory, especially high all Multiaxial Fatigue Life Prediction methods, which become, solves component of machine Problem of Failure in practical be on active service
Important method.The all Multiaxial Fatigue Life Predictions of traditional height often ignore the influence of mean stress, therefore consider mean stress shadow
The all Multiaxial Fatigue Life Prediction methods of loud height are worth research.
Invention content
Present invention aims at the requirements for non-proportional loading Intensity Design, propose a kind of based on critical surface method fatigue rupture
The all Multiaxial Fatigue Life Prediction methods of height of criterion.
A kind of all Multiaxial Fatigue Life Prediction methods of height based on critical surface method Fatigue criteria provided by the present invention,
Its step is：
Step 1)：Thin-wall tube test specimen is critical with face where maximum shear stress by drawing-torsion disproportional Sine-wave loading
Face utilizes the fatigue damage parameter on the face：Shear stress width Ca, direct stress width Na, mean normal stress NmOne non-linear group of construction
Conjunction form isThe all non-proportional loading criterion of height.
Step 2)：α in solution formula, β, λ.By substituting into two kinds of uniaxial loading situations, it is respectively uniaxially stretched tired pole
Limit f-1Load and pure torsion fatigue limit t-1Load is releasedλ=t-1.Situation is loaded by pulsating cyclic again,
It corrects to obtain using Goodman equationsσ in formulauTo be uniaxially stretched strength degree.To sum up release one
Kind is based on the high all non-proportional loading failure criteria of critical surface method：
Step 3)：Read high all multiaxis Identical loading test datas.Include load direct stress width σ in every group of test dataa,
Shear stress width τa, mean normal stress σm, average shearing stress τm, phase difference δ.
Step 4)：Determine critical surface position.In order to consider to load influence of the average shearing stress to fatigue damage, it is believed that crackle
Plane germinating and extension where maximum shear stress, i.e., using face where maximum shear stress as critical surface.
Step 5)：Pass through the shear stress width C on calculated critical surfacea, direct stress width NaWith mean normal stress Nm, utilize
Formula calculates equivalent stress width：
Step 6)：Utilize equivalent stress width τeqThe S-N curve for being -1 with stress ratio, calculates multiaxis constant amplitude loading
Under high-Cycle Fatigue Life Prediction.
The step 1) and step 2) are constructed containing there are three Damage Parameter (shear stress width Ca, direct stress width Na, averagely just
Stress Nm) nonlinear combination form beThe all non-proportional loading criterion of height, this method is logical
It crosses this Damage Parameter by common maximum (normal) stress and is decomposed into direct stress width and mean normal stress, consider respectively and fatigue is damaged
The Different Effects of injured labour life.
Compared with prior art, the present invention has the advantages that：
The present invention proposes a kind of all Multiaxial Fatigue Life Prediction methods of the height based on critical surface method Fatigue criteria.It should
Method is decomposed into direct stress width and mean normal stress by this Damage Parameter by common maximum (normal) stress, considers him respectively
For fatigue damage generate Different Effects, construct the Fatigue criteria of a tri-consult volume, and the determination of critical surface
Consider the influence of average shearing stress.It is applied widely, and it is based on critical surface law theory, explicit physical meaning, the material being related to
Expect that constant is less, is convenient for engineer application.By verification experimental verification, the high cycle fatigue longevity under multiaxis constant amplitude loading is carried out using this method
It orders estimation and obtains preferable prediction effect.
Description of the drawings
Fig. 1 is all Multiaxial Fatigue Life Prediction sides of the height based on critical surface method Fatigue criteria that the method for the present invention provides
The flow chart of method.
Specific implementation mode
Illustrate the specific implementation mode of the present invention in conjunction with attached drawing and verification experimental verification.
High-cycle fatigue life under the multiaxis constant amplitude loading of the invention to be carried out is utilized a kind of based on critical surface
The Fatigue criteria and prediction model of method, and pass through its reliability of verification experimental verification and accuracy.
Step 1)：Thin-wall tube test specimen is utilized the oblique section formula in the mechanics of materials by drawing-torsion disproportional Sine-wave loading
It can calculate under given loading environment, each stress value on determined critical surface, such as shear stress width Ca, direct stress width Na, averagely just
Stress Nm。
Step 3)：α in solution formula, β, λ.By substituting into two kinds of uniaxial loading situations, it is respectively uniaxially stretched tired pole
Limit f-1Load and pure torsion fatigue limit t-1Load is releasedλ=t-1.Situation is loaded by pulsating cyclic again,
It corrects to obtain using Goodman equationsσ in formulauTo be uniaxially stretched strength degree.To sum up release one
The all non-proportional loading failure criteria of height of the kind based on critical surface method：
Step 4)：Read the fatigue data of three groups of materials：7075-T651 aluminium alloys, 30CrMnSiA steel, LY12CZ
Aluminium alloy.Using Papadopoulos formula, maximum shear stress C is determinedmaxPlace plane, i.e. critical surface position, and calculate this and face
Shear stress width C on interfacea, direct stress width NaWith mean normal stress Nm。
Step 5)：Pass through the shear stress width C on calculated critical surfacea, direct stress width NaWith mean normal stress Nm, utilize
Formula calculates equivalent stress width：
Step 6)：Utilize equivalent stress width τeqThe S-N curve for being -1 with stress ratio, calculates multiaxis constant amplitude loading
Under high-Cycle Fatigue Life Prediction.Such as the expression formula of the S-N curves of 7075-T651 aluminium alloys is τa=719.08 (Nf)-0.1194, formula
Middle NfFor fatigue life.Convert multi-axis stress state to uniaxial stress state, τeq=719.08 (Nf)-0.1194, you can it calculates
Fatigue life.
It is pre- in order to verify a kind of height based on critical surface method Fatigue criteria proposed by the present invention all non-proportional loading service life
Prediction result obtained by this method is compared by the effect of survey method with the test life obtained by multiaxial experiment, the results showed that,
Critical surface method Fatigue criteria based on proposition, Multiaxial Proportional that computational methods through the invention obtain, disproportional fatigue
Life prediction value is compared with testing actual life, and the error factor overwhelming majority is within 3 times.This method is based on critical surface method,
The Different Effects of direct stress width and mean normal stress to high all Multiaxial Fatigue Damages are considered respectively.The method of proposition carries out multiaxis
High-Cycle Fatigue Life Prediction estimation under constant amplitude loading obtains preferable prediction effect.
Claims (2)
1. a kind of all Multiaxial Fatigue Life Prediction methods of height based on critical surface method Fatigue criteria, it is characterised in that：Step
It is as follows,
Step 1)：Thin-wall tube test specimen is by drawing-torsion disproportional Sine-wave loading, using face where maximum shear stress as critical surface, profit
With the fatigue damage parameter on the face：Shear stress width Ca, direct stress width Na, mean normal stress NmConstruct a nonlinear combination shape
Formula isThe all non-proportional loading criterion of height；
Step 2)：α in solution formula, β, λ；By substituting into two kinds of uniaxial loading situations, it is respectively uniaxially stretched fatigue limit f-1
Load and pure torsion fatigue limit t-1Load is releasedSituation is loaded by pulsating cyclic again, utilizes Goodman
Equation is corrected to obtainσ in formulauTo be uniaxially stretched strength degree；It to sum up releases a kind of based on critical surface
The high all non-proportional loading failure criteria of method：
Step 3)：Read high all multiaxis Identical loading test datas；Include load direct stress width σ in every group of test dataa, cut and answer
Power width τa, mean normal stress σm, average shearing stress τm, phase difference δ；
Step 4)：Determine critical surface position；Crackle plane germinating and extension where maximum shear stress, i.e., with maximum shear stress institute
It is critical surface in face, it is contemplated that influence of the average shearing stress to fatigue damage；
Step 5)：Pass through the shear stress width C on calculated critical surfacea, direct stress width NaWith mean normal stress Nm, utilize formula
Calculate equivalent stress width：
Step 6)：Utilize equivalent stress width τeqThe S-N curve for being -1 with stress ratio, calculates under multiaxis constant amplitude loading
High-Cycle Fatigue Life Prediction.
2. all Multiaxial Fatigue Life Prediction sides of a kind of height based on critical surface method Fatigue criteria according to claim 1
Method, it is characterised in that：The step 1) and step 2) are constructed is containing the nonlinear combination form there are three Damage ParameterThe all non-proportional loading criterion of height, three Damage Parameters are respectively shear stress width Ca, just answer
Power width Na, mean normal stress Nm；This method is decomposed into direct stress width peace by this Damage Parameter by common maximum (normal) stress
Equal direct stress considers the Different Effects generated to fatigue damage respectively.
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| CN107066677A (en) * | 2017-01-19 | 2017-08-18 | 北京工业大学 | A kind of determination method in random combined tension and torsion lower critical face |
| CN107506535B (en) * | 2017-08-07 | 2020-09-01 | 电子科技大学 | Multi-axial fatigue life prediction method based on critical strain damage parameters |
| CN107748817B (en) * | 2017-10-19 | 2021-04-09 | 北京工业大学 | High-temperature multi-axis constitutive relation determination method considering non-proportional additional reinforcement |
| CN109033709B (en) * | 2018-08-30 | 2020-03-31 | 电子科技大学 | Component fatigue life evaluation method based on nonlinear fatigue damage accumulation theory |
| CN109115479A (en) * | 2018-08-30 | 2019-01-01 | 电子科技大学 | A kind of turbine wheel shaft Multiaxial Fatigue Life Prediction method based on critical surface |
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| CN110334405B (en) * | 2019-06-11 | 2020-12-25 | 南京航空航天大学 | High-temperature multi-axis low-cycle fatigue life prediction method based on Chaboche structure and Lemailre damage model |
| CN111624116B (en) * | 2020-05-09 | 2021-09-21 | 清华大学 | Fatigue life prediction method and device based on weighted average maximum shear stress plane |
| CN114297893B (en) * | 2021-12-28 | 2023-03-28 | 北京工业大学 | Multi-axial fatigue failure life assessment method for welding structure |
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| CN103604688A (en) * | 2013-12-01 | 2014-02-26 | 北京航空航天大学 | Prediction method for multi-axial high-cycle fatigue life of plastic metal material based on critical plane approach |
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| CN103604688A (en) * | 2013-12-01 | 2014-02-26 | 北京航空航天大学 | Prediction method for multi-axial high-cycle fatigue life of plastic metal material based on critical plane approach |
| CN104392130A (en) * | 2014-11-21 | 2015-03-04 | 南京衍达软件科技有限公司 | Method for determining multi-axis fatigue most damage load direction and application thereof |
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