CN109086541A - Predict specimen geometry and loading method to the method for Fatigue Strength Effect - Google Patents
Predict specimen geometry and loading method to the method for Fatigue Strength Effect Download PDFInfo
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Abstract
Predict specimen geometry and loading method to the method for Fatigue Strength Effect the present embodiments relate to a kind of, which comprises to obtain the fatigue experiment data and fatigue strength Weibull distribution parameter of the sample for prediction；The control volume or control surface area predicted sample under different geometries or different loading methods and be predicted sample are determined according to the results of fracture surface analysis of prediction sample；Prediction sample and the fatigue strength relationship for being predicted sample under different geometries or different loading methods are obtained according to the control volume or the control surface area；The fatigue strength that sample is predicted under different geometries or different loading methods is determined according to the fatigue strength relationship；It can effectively solve the problems, such as prediction specimen geometry and loading method to Fatigue Strength Effect.
Description
Technical field
The present embodiments relate to Fatigue Strength Prediction theory and technology field more particularly to a kind of prediction specimen geometries
With loading method to the method for Fatigue Strength Effect.
Background technique
Specimen geometry and loading method are an important factor for influencing fatigue strength.For example, notched specimen is due to notch
The stress gradient at position can usually bear bigger peak stress compared to Specimens under identical fatigue life.
However, existing prediction specimen geometry and the loading method of lacking is to the scheme of Fatigue Strength Effect.
Summary of the invention
The embodiment of the invention provides a kind of prediction specimen geometry and loading methods to the method for Fatigue Strength Effect,
It can effectively solve the problems, such as geometry and loading method to Fatigue Strength Effect.
Predict specimen geometry and loading method to the side of Fatigue Strength Effect in a first aspect, the embodiment of the present invention is a kind of
Method, comprising:
Obtain the fatigue experiment data and fatigue strength Weibull distribution parameter of the sample for prediction；
Pretest under different geometries or different loading methods is determined according to the results of fracture surface analysis of prediction sample
Sample and the control volume or control surface area for being predicted sample；
It is obtained according to the control volume or the control surface area and is predicted under different geometries or different loading methods
Sample and the fatigue strength relationship for being predicted sample；
The fatigue that sample is predicted under different geometries or different loading methods is determined according to the fatigue strength relationship
Intensity.
In a possible embodiment, the method also includes:
When the sample is the fatigue rupture based on inside is originated from, different geometry are obtained generally according to the control volume
The fatigue strength relationship of the sample under shape or different loading methods.
In a possible embodiment, the method also includes:
When the sample is the fatigue rupture based on surface is originated from, obtained generally according to the control surface area different several
The fatigue strength relationship of the sample under what shape or different loading methods.
In a possible embodiment, the control volume or the control surface area are that fatigue crack may germinate
High stress areas, the high stress areas >=90% maximum principal stress region.
In a possible embodiment, described that different geometries or difference are determined according to the fatigue strength relationship
The fatigue strength of sample is predicted under loading method, comprising:
The fatigue strength under a certain given fatigue life is determined by the correlation function of fatigue strength and fatigue life；
Wherein, the correlation function are as follows:
Wherein, a, A and B are constant, N0For fatigue life at broken line inflection point, σ is fatigue strength and N is fatigue life；
Or；
The fatigue strength under any fatigue life was converted under a certain given fatigue life by the correlation function
Fatigue strength
The side of second aspect, a kind of prediction specimen geometry of the embodiment of the present invention and loading method to Fatigue Strength Effect
Method, comprising:
Module is obtained, for obtaining the fatigue experiment data and fatigue strength Weibull distribution ginseng that are used for the sample of prediction
Number；
Determining module, for determining different geometries or different loads according to the results of fracture surface analysis of prediction sample
Sample is predicted under mode and is predicted the control volume or control surface area of sample；
The acquisition module, be also used to be obtained according to the control volume or the control surface area different geometries or
Sample is predicted under different loading methods and is predicted the fatigue strength relationship of sample；
The determining module is also used to determine different geometries or different loading methods according to the fatigue strength relationship
Under be predicted the fatigue strength of sample.
In a possible embodiment, when the sample is the fatigue rupture based on inside is originated from, the determination
Module, the fatigue for obtaining the sample under different geometries or different loading methods generally according to the control volume are strong
Degree relationship.
In a possible embodiment, when the sample is the fatigue rupture based on surface is originated from, the determination
Module, for obtaining the fatigue of the sample under different geometries or different loading methods generally according to the control surface area
Strength relationship.
In a possible embodiment, the control volume or the control surface area are that fatigue crack may germinate
High stress areas, the high stress areas >=90% maximum principal stress region.
In a possible embodiment, the determining module, specifically for passing through fatigue strength and fatigue life
Correlation function determines the fatigue strength under a certain given fatigue life；
Wherein, the correlation function are as follows:
Wherein, a, A and B are constant, N0For fatigue life at broken line inflection point, σ is fatigue strength and N is fatigue life；
Or；
The fatigue strength under any fatigue life was converted under a certain given fatigue life by the correlation function
Fatigue strength.
Prediction specimen geometry and loading method provided in an embodiment of the present invention pass through the method for Fatigue Strength Effect
Obtain the fatigue experiment data and fatigue strength probability-distribution function of the sample for prediction；According to the fatigue fracture of prediction sample
Analysis result, which determines, predicts sample and the control volume or control that are predicted sample under different geometries or different loading methods
Surface area；The examination under different geometries or different loading methods is obtained according to the control volume or the control surface area
The fatigue strength relationship of sample；The sample under different geometries or different loading methods is determined according to the fatigue strength relationship
Fatigue strength；It can effectively solve the problems, such as prediction specimen geometry and loading method to Fatigue Strength Effect.
Detailed description of the invention
Fig. 1 is a kind of prediction specimen geometry and loading method provided in an embodiment of the present invention to Fatigue Strength Effect
The flow diagram of method；
Fig. 2 is the sample for prediction and the shape and size for being predicted sample；
Fig. 3 is that rotoflector loads fatigue strength obedience Two-parameter Weibull distribution under the lower hourglass shape sample same service life
When the P-S-N curve predicted and experimental data comparison schematic diagram；
Fig. 4 is that (R=-1) hourglass shape sample experiment data are loaded down using rotoflector is husky to (R=-1) under axially loaded
Leak the prediction result of shape sample fatigue strength and the comparison schematic diagram of experimental result；
Fig. 5 is a kind of prediction specimen geometry and loading method provided in an embodiment of the present invention to Fatigue Strength Effect
The structural schematic diagram of method.
Specific embodiment
In order to make the object, technical scheme and advantages of the embodiment of the invention clearer, below in conjunction with the embodiment of the present invention
In attached drawing, technical scheme in the embodiment of the invention is clearly and completely described, it is clear that described embodiment is
A part of the embodiment of the present invention, instead of all the embodiments.Based on the embodiments of the present invention, those of ordinary skill in the art
Every other embodiment obtained without making creative work, shall fall within the protection scope of the present invention.
In order to facilitate understanding of embodiments of the present invention, it is further explained below in conjunction with attached drawing with specific embodiment
Bright, embodiment does not constitute the restriction to the embodiment of the present invention.
Fig. 1 is a kind of prediction specimen geometry and loading method provided in an embodiment of the present invention to Fatigue Strength Effect
The flow diagram of method, as shown in Figure 1, this method specifically includes:
S101, the fatigue experiment data and fatigue strength Weibull distribution parameter for being used for the sample of prediction are obtained.
S102, it is determined under different geometries or different loading methods according to the results of fracture surface analysis of prediction sample
The control volume or control surface area of the sample.
When the sample is the fatigue rupture based on inside is originated from, different geometries are obtained according to the control volume
Or under different loading methods the sample fatigue strength relationship；When the sample is the fatigue rupture based on surface is originated from,
The fatigue strength relationship of the sample under different geometries or different loading methods is obtained according to the control surface area.
Wherein, the control volume or the control surface area are the high stress areas that fatigue crack may germinate, such as high
Stress area stress >=90% region.
S103, it is obtained under different geometries or different loading methods according to the control volume or the control surface area
The fatigue strength relationship of the sample.
If fatigue strength is distributed using 3 parameter Weibull, under identical survival rate, the fatigue strength of Sample A and sample B
Relationship usesOrIt calculates；If fatigue strength uses two-parameter Weibull
It is distributed, under identical survival rate, the fatigue strength relationship of Sample A and sample B is usedWith
Wherein γ and k is respectively the location parameter and form parameter of Weibull distribution；σAAnd σBThe respectively fatigue strength of Sample A and B,
VAAnd VBThe respectively control volume of Sample A and B, SAAnd SBThe respectively control surface area of Sample A and B.
S104, the tired of the sample under different geometries or different loading methods is determined according to the fatigue strength relationship
Labor intensity.
Obtain the fatigue strength and P-S-N curve for being predicted sample.
As the example of practical application, chooses certain model axle steel rotoflector shown in Fig. 2 a and load lower hourglass shape sample
As the sample for prediction, determined under a certain given fatigue life by the correlation function of fatigue strength and fatigue life
Fatigue strength.
Wherein, the Weibull distribution parameter of fatigue strength obtains in the following manner under a certain same life, that is, determines tired
The correlation function of labor intensity σ and fatigue life N:
I.e.
Wherein, a, A and B are constant, N0For fatigue life at broken line inflection point.A, B and N0It can pass throughMinimum value obtain.For this calculation
Example is calculated by numerical value and obtains a=-0.1067, N0=1445440, B=2.537.
For any fatigue life NkFatigue strength σ under (k=1,2 ..., n)kA certain given fatigue can be converted into
Service life N 'kUnder fatigue strength, specifically include:
As N 'k< N0When,
As N 'k≥N0When,
Fig. 3 gives sample fatigue strength under the same service life and obeys the P-S-N predicted when Two-parameter Weibull distribution
The comparison schematic diagram of curve and experimental data.
Control surface area (the maximum master of principal stress >=90% of sample shown in Fig. 2 a and 2b is calculated using finite element method
Stress area) it is respectively 22.6mm2And 69.0mm2, wherein (a) rotoflector loads lower hourglass shape sample (Kt=1.08)；(b)
Axially loaded lower hourglass shape sample (Kt=1.04).
Fig. 4, which is provided, loads lower hourglass shape sample experiment data to axially loaded lower hourglass shape sample fatigue using rotoflector
The prediction result of intensity and the comparison schematic diagram of experimental result.As it can be seen that prediction result and experimental result are coincide.
Prediction specimen geometry and loading method provided in an embodiment of the present invention pass through the method for Fatigue Strength Effect
Obtain the fatigue experiment data and fatigue strength Weibull distribution function of the sample for prediction；According to the fatigue of prediction sample
Fracture analysis result determines the control volume or control surface area of the sample under different geometries or different loading methods；Root
The fatigue of the sample under different geometries or different loading methods is obtained according to the control volume or the control surface area
Strength relationship；Determine that the fatigue of the sample under different geometries or different loading methods is strong according to the fatigue strength relationship
Degree；It can effectively solve the problems, such as prediction specimen geometry and loading method to Fatigue Strength Effect.
Fig. 5 is a kind of prediction specimen geometry and loading method provided in an embodiment of the present invention to Fatigue Strength Effect
The structural schematic diagram of method, as shown in figure 5, this method specifically includes:
Module 501 is obtained, is divided for obtaining the fatigue experiment data for being used for the sample of prediction and fatigue strength Weibull
Cloth parameter；
Determining module 502, for determining different geometries or difference according to the results of fracture surface analysis of prediction sample
Sample is predicted under loading method and is predicted the control volume or control surface area of sample；
The acquisition module 501 is also used to obtain different geometric forms according to the control volume or the control surface area
Sample is predicted under shape or different loading methods and is predicted the fatigue strength relationship of sample；
The determining module 502 is also used to determine different geometries or different loads according to the fatigue strength relationship
The fatigue strength of sample is predicted under mode.
Optionally, when the sample is the fatigue rupture based on inside is originated from, the determining module 502, for usual
The fatigue strength relationship of the sample under different geometries or different loading methods is obtained according to the control volume.
Optionally, when the sample is the fatigue rupture based on surface is originated from, the determining module 502, for usual
The fatigue strength relationship of the sample under different geometries or different loading methods is obtained according to the control surface area.
Optionally, the control volume or the control surface area are the high stress areas that fatigue crack may germinate, institute
State high stress areas >=90% maximum principal stress region.
Optionally, the determining module 502 determines certain specifically for the correlation function by fatigue strength and fatigue life
Fatigue strength under one given fatigue life；
Wherein, the correlation function are as follows:
Wherein, a, A and B are constant, N0For fatigue life at broken line inflection point, σ is fatigue strength and N is fatigue life；
Or；
The fatigue strength under any fatigue life was converted under a certain given fatigue life by the correlation function
Fatigue strength.
Prediction specimen geometry and loading method provided in an embodiment of the present invention pass through the method for Fatigue Strength Effect
Obtain the fatigue experiment data and fatigue strength Weibull distribution function of the sample for prediction；According to the fatigue of prediction sample
Fracture analysis result determines the control volume or control surface area of the sample under different geometries or different loading methods；Root
The fatigue of the sample under different geometries or different loading methods is obtained according to the control volume or the control surface area
Strength relationship；Determine that the fatigue of the sample under different geometries or different loading methods is strong according to the fatigue strength relationship
Degree；It can effectively solve the problems, such as prediction specimen geometry and loading method to Fatigue Strength Effect.
Professional should further appreciate that, described in conjunction with the examples disclosed in the embodiments of the present disclosure
Unit and algorithm steps, can be realized with electronic hardware, computer software, or a combination of the two, hard in order to clearly demonstrate
The interchangeability of part and software generally describes each exemplary composition and step according to function in the above description.
These functions are implemented in hardware or software actually, the specific application and design constraint depending on technical solution.
Professional technician can use different methods to achieve the described function each specific application, but this realization
It should not be considered as beyond the scope of the present invention.
Above-described specific embodiment has carried out further the purpose of the present invention, technical scheme and beneficial effects
It is described in detail, it should be understood that being not intended to limit the present invention the foregoing is merely a specific embodiment of the invention
Protection scope, all within the spirits and principles of the present invention, any modification, equivalent substitution, improvement and etc. done should all include
Within protection scope of the present invention.
Claims (10)
1. a kind of predict specimen geometry and loading method to the method for Fatigue Strength Effect characterized by comprising
Obtain the fatigue experiment data and fatigue strength Weibull distribution parameter of the sample for prediction；
According to prediction sample results of fracture surface analysis determine under different geometries or different loading methods predict sample and
It is predicted the control volume or control surface area of sample；
It is obtained according to the control volume or the control surface area and predicts sample under different geometries or different loading methods
With the fatigue strength relationship for being predicted sample；
The fatigue strength that sample is predicted under different geometries or different loading methods is determined according to the fatigue strength relationship.
2. the method according to claim 1, wherein the method also includes:
When the sample is the fatigue rupture based on inside is originated from, different geometries are obtained generally according to the control volume
Or under different loading methods the sample fatigue strength relationship.
3. the method according to claim 1, wherein the method also includes:
When the sample is the fatigue rupture based on surface is originated from, different geometric forms are obtained generally according to the control surface area
The fatigue strength relationship of the sample under shape or different loading methods.
4. the method according to claim 1, wherein the control volume or the control surface area split for fatigue
The high stress areas that line may germinate, the high stress areas >=90% maximum principal stress region.
5. the method according to claim 1, wherein described determine different geometry according to the fatigue strength relationship
The fatigue strength of sample is predicted under shape or different loading methods, comprising:
The fatigue strength under a certain given fatigue life is determined by the correlation function of fatigue strength and fatigue life；
Wherein, the correlation function are as follows:
Wherein, a, A and B are constant, N0For fatigue life at broken line inflection point, σ is fatigue strength and N is fatigue life；
Or；
The fatigue strength under any fatigue life is converted to by the correlation function tired under a certain given fatigue life
Labor intensity.
6. a kind of predict specimen geometry and loading method to the method for Fatigue Strength Effect characterized by comprising
Module is obtained, for obtaining the fatigue experiment data and fatigue strength Weibull distribution parameter that are used for the sample of prediction；
Determining module, for determining different geometries or different loading methods according to the results of fracture surface analysis of prediction sample
Lower prediction sample and the control volume or control surface area for being predicted sample；
The acquisition module is also used to obtain different geometries or difference according to the control volume or the control surface area
Sample is predicted under loading method and is predicted the fatigue strength relationship of sample；
The determining module is also used to determine quilt under different geometries or different loading methods according to the fatigue strength relationship
Predict the fatigue strength of sample.
7. according to the method described in claim 6, it is characterized in that, when the sample is the fatigue rupture based on inside is originated from
When, the determining module is described under different geometries or different loading methods for obtaining generally according to the control volume
The fatigue strength relationship of sample.
8. according to the method described in claim 6, it is characterized in that, when the sample is the fatigue rupture based on surface is originated from
When, the determining module, for obtaining institute under different geometries or different loading methods generally according to the control surface area
State the fatigue strength relationship of sample.
9. according to the method described in claim 6, it is characterized in that, the control volume or the control surface area split for fatigue
The high stress areas that line may germinate, the high stress areas >=90% maximum principal stress region.
10. according to the method described in claim 6, it is characterized in that, the determining module, be specifically used for by fatigue strength with
The correlation function of fatigue life determines the fatigue strength under a certain given fatigue life；
Wherein, the correlation function are as follows:
Wherein, a, A and B are constant, N0For fatigue life at broken line inflection point, σ is fatigue strength and N is fatigue life；
Or；
The fatigue strength under any fatigue life is converted to by the correlation function tired under a certain given fatigue life
Labor intensity.
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Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20080028866A1 (en) * | 2006-08-03 | 2008-02-07 | Snecma | Method for evaluating the fatigue strength of welded joints |
| CN105716935A (en) * | 2016-01-28 | 2016-06-29 | 中国科学院力学研究所 | Method for predicting influence of sample size on fatigue life |
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2018
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Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20080028866A1 (en) * | 2006-08-03 | 2008-02-07 | Snecma | Method for evaluating the fatigue strength of welded joints |
| CN105716935A (en) * | 2016-01-28 | 2016-06-29 | 中国科学院力学研究所 | Method for predicting influence of sample size on fatigue life |
Non-Patent Citations (4)
| Title |
|---|
| EWA MARCISZ等: "《The Influence of the Specimen Shape on the Fatigue Life under Bending》", 《SOLID STATE PHENOMENA》 * |
| M. SHIRANI等: "《Fatigue life distribution and size effect in ductile cast iron for wind turbine components》", 《ENGINEERING FAILURE ANALYSIS》 * |
| MARTIN LEITNER等: "《Statistical size effect on multiaxial fatigue strength of notched steel components》", 《INTERNATIONAL JOURNAL OF FATIGUE》 * |
| 郭沛东: "《基于实验的缺口试件疲劳寿命评估方法比较研究》", 《中国优秀硕士学位论文全文数据库 工程科技Ⅰ辑》 * |
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