A Two-point Method for Multiaxial Fatigue Life Prediction

Liu, Jianhui; Pan, Xuemei; Li, Youtang; Chen, Xiaochuang

doi:10.1007/s10338-021-00287-z

Cited by 7 publications

(7 citation statements)

References 19 publications

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“…In recent years, the study of critical plane has been increasingly improved, and many scholars prefer to combine the concept of energy combined with critical plane theory to explore the evolution of fatigue damage. 28,29 Therefore, in order to accurately and reliably assess fatigue life, the energy-critical plane method 30,31 is applied to determine the critical plane. This method is based on the critical plane perspective, which combines the existing critical plane theory and the concept of energy and introduces the strain energy density as the parameter that determines the critical plane.…”

Section: The Energy-critical Plane Methodsmentioning

confidence: 99%

“…In order to determine the location of the critical plane, the derivative of Equation 7gives the values of θ and φ. For details, see Liu et al, 30,31 and the location of the critical plane is finally determined as…”

Section: The Energy-critical Plane Methodsmentioning

confidence: 99%

“…In order to determine the location of the critical plane, the derivative of Equation 7 gives the values of θ and φ . For details, see Liu et al, 30,31 and the location of the critical plane is finally determined as

θ goodbreak= \frac{1}{2} \arctan ((), \frac{{bold-italicσ}_{normalm} {bold-italicε}_{12} + {bold-italicσ}_{12} {bold-italicε}_{normalm}}{{bold-italicσ}_{normalm} {bold-italicε}_{normald} + {bold-italicσ}_{normald} {bold-italicε}_{normalm}}), φ goodbreak= 90^{\circ} .

…”

Section: The Theory Of Critical Planementioning

confidence: 99%

“…The Manson‐coffin equation has good predictive accuracy in predicting uniaxial fatigue life. Therefore, many scholars 30,31 equate the complex multiaxial fatigue loading condition to the uniaxial fatigue loading condition and then replace the uniaxial fatigue damage parameters with the multiaxial fatigue damage parameters to predict the life. It is found that the method has better prediction accuracy and applicability in predicting multiaxial fatigue life 31,35,36 .…”

Section: A New Model Considering the Rsg And Size Effectmentioning

confidence: 99%

See 3 more Smart Citations

Multiaxial fatigue life prediction model with relative stress gradient and size effect

Liu

Zhao

Ran

et al. 2022

Fatigue Fract Eng Mat Struct

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To investigate the effects of notched root stress gradient and geometric size parameters on the fatigue performance of engineering components, a new multiaxial fatigue life prediction model is established. First, based on the energy-critical plane method, the location of the dangerous plane is determined with the help of finite element (FE) analysis. Second, the sixth-order multinomial stress function is used to study the stress/strain distribution state on the critical plane, and the relative stress gradient (RSG) function is used to find the stationary point to determine the RSG value and the magnitude of the fatigue damage zone boundary value. Specifically, for specimens with different notch types, the indexes to determine the high-stress influence zone and the size influence factor are proposed. Finally, a multiaxial fatigue life prediction model considering RSG and size effect is established, and the compared resultsshow that the new model has a high fatigue life prediction capability.

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Section: The Energy-critical Plane Methodsmentioning

confidence: 99%

Section: The Energy-critical Plane Methodsmentioning

confidence: 99%

“…In order to determine the location of the critical plane, the derivative of Equation 7 gives the values of θ and φ . For details, see Liu et al, 30,31 and the location of the critical plane is finally determined as

θ goodbreak= \frac{1}{2} \arctan ((), \frac{{bold-italicσ}_{normalm} {bold-italicε}_{12} + {bold-italicσ}_{12} {bold-italicε}_{normalm}}{{bold-italicσ}_{normalm} {bold-italicε}_{normald} + {bold-italicσ}_{normald} {bold-italicε}_{normalm}}), φ goodbreak= 90^{\circ} .

…”

Section: The Theory Of Critical Planementioning

confidence: 99%

Section: A New Model Considering the Rsg And Size Effectmentioning

confidence: 99%

See 2 more Smart Citations

Multiaxial fatigue life prediction model with relative stress gradient and size effect

Liu

Zhao

Ran

et al. 2022

Fatigue Fract Eng Mat Struct

Self Cite

View full text Add to dashboard Cite

show abstract

“…The reliable prediction results can be obtained only by focusing on the critical region of high‐stress. Recently, Liu et al 29 simplified the calculation process of the high‐stress region by using the V95 standard. In his work, the high‐stress volume in three‐dimensional space was simplified to a high‐stress line segment on the critical plane, and the point where 95% of the maximum stress on the critical plane was defined as critical point C. Then the distance between the dangerous point D and the critical point C is defined as the Natural length (as shown in Figure 8).…”

Section: Determination Of Fatigue Damage Parameters and Plotting Of M...mentioning

confidence: 99%

A study on modified P‐S‐N curve of notched specimens based on small sample under multiaxial loading

Pan

Liu

et al. 2022

Fatigue Fract Eng Mat Struct

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The small sample data under the highest stress level are augmented based on the improved Bootstrap method, and then the augmented data are converted to sample data under the lower stress levels with the Principle of Fatigue Life Probability Percentiles Consistency. Furthermore, the augmented sample data and the original data are fused into the equivalent large sample data to establish the P-S-N curve with higher accuracy. Meanwhile, a new method for calculating the fatigue damage parameter of the notched specimens is proposed based on the two-point method. A modified P-S-N curve is established to predict the fatigue life of other specimens with different stress concentration coefficients under different stress levels. In addition, the experimental data of three kinds of materials are collected to verify the feasibility and accuracy of the new method. The results show that the predicted fatigue life is in good agreement with the experimental life.

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Modeling and Prediction of Fatigue Properties of Additively Manufactured Metals

Tang

et al. 2023

Acta Mech. Solida Sin.

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A Two-point Method for Multiaxial Fatigue Life Prediction

Cited by 7 publications

References 19 publications

Multiaxial fatigue life prediction model with relative stress gradient and size effect

Multiaxial fatigue life prediction model with relative stress gradient and size effect

A study on modified P‐S‐N curve of notched specimens based on small sample under multiaxial loading

Modeling and Prediction of Fatigue Properties of Additively Manufactured Metals

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