A New Non-Linear Continuum Damage Mechanics Model for the Fatigue Life Prediction Under Variable Loading

Yuan, Rong; Li, Haiqing; Huang, Hong Zhong; Zhu, Shibai; Li, Yan Feng

doi:10.5755/j01.mech.19.5.5541

Cited by 25 publications

(22 citation statements)

References 21 publications

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“…Here, a = 0.192, 1/ (1 − T) = 0.12, U = 13.630, M 0 = 700, and M 0 b ' = 0.43. 30 In order to verify the two-stage loading case, the experimental data ( Table 2) obtained from the different loading sequences in the literature 31 are compared with the predicted results of the model. 5 As can be observed from Figure 2, the maximum relative error of the Schaff's model is 10%, and the maximum relative error of the model proposed in this paper is 5%.…”

Section: Verification Of the Residual Strength Modelmentioning

confidence: 99%

Copula‐function‐based analysis model and dynamic reliability of a gear transmission system considering failure correlations

Wei

Pan

Lin

et al. 2018

Fatigue Fract Eng Mat Struct

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In this study, an improved prediction model is introduced to assess the residual strength of gear transmission systems. The residual strength and stress‐strength interference theories are then combined to facilitate the study of the reliability of the gears and bearings in these systems. Based on the copula function, the correlation between the gear contact and bending failure is determined. The relationship between the copula function and reliability is used to determine the dynamic reliability of the gears while considering multiple correlated failure modes. In this manner, more accurate and dynamic reliability attenuation characteristics are obtained for the gear transmission system.

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Section: Verification Of the Residual Strength Modelmentioning

confidence: 99%

Copula‐function‐based analysis model and dynamic reliability of a gear transmission system considering failure correlations

Wei

Pan

Lin

et al. 2018

Fatigue Fract Eng Mat Struct

View full text Add to dashboard Cite

show abstract

“…These models include damage curve-based models [12,13], models for continuum damage mechanics [6,14], models that consider load interactions [13,15], energy-based damage methods [16][17][18], models based on physical property degradation [19,20], ductility exhaustion methods [21,22], and thermodynamic entropy-based theories [23][24][25].…”

Section: Introductionmentioning

confidence: 99%

“…An example of a linear damage accumulation model is PalmgrenMiner rule, or Miner's rule for short. This rule was proposed to predict the fatigue life of materials on the basis of the following assumptions [4][5][6]:…”

Section: Introductionmentioning

confidence: 99%

An improved Corten-Dolan’s model based on damage and stress state effects

Gao

Huang

et al. 2015

J Mech Sci Technol

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The value of exponent d in Corten-Dolan's model is generally considered to be a constant. Nonetheless, the results predicted on the basis of this statement deviate significantly from the real values. In consideration of the effects of damage and stress state on fatigue life prediction, Corten-Dolan's model is improved by redefining the exponent d used in the traditional model. The improved model performs better than the traditional one with respect to the demonstration of a fatigue failure mechanism. Predictions of fatigue life on the basis of investigations into three metallic specimens indicate that the errors caused by the improved model are significantly smaller than those induced by the traditional model. Meanwhile, predictions derived according to the improved model fall into a narrower dispersion zone than those made as per Miner's rule and the traditional model. This finding suggests that the proposed model improves the life prediction accuracy of the other two models. The predictions obtained using the improved Corten-Dolan's model differ slightly from those derived according to a model proposed in previous literature; a few life predictions obtained on the basis of the former are more accurate than those derived according to the latter. Therefore, the improved model proposed in this paper is proven to be rational and reliable given the proven validity of the existing model. Therefore, the improved model can be feasibly and credibly applied to damage accumulation and fatigue life prediction to some extent.

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“…Some other theories were also proposed and developed and many of them used nonlinear fatigue damage accumulation models. The solutions of these nonlinear damage accumulation models include: damage curve approach [3][4] , continuum damage mechanics [5][6] , energy or thermodynamic entropy [7][8] , physical property degradation or ductility exhaustion theories [9][10] , load characteristics [4,[11][12] and so on.…”

Section: Introductionmentioning

confidence: 99%

Residual life prediction based on nonlinear fatigue damage accumulation model

Gao

Zuo

et al. 2015

J. Shanghai Jiaotong Univ. (Sci.)

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When a nonlinear fatigue damage accumulation model based on damage curve approach is used to get better residual life prediction results, it is necessary to solve the problem caused by the uncertain exponent of the model. Considering the effects of load interaction, the assumption that there is a linear dependence between the exponent ratio and the loading ratio is established to predict fatigue residual life of materials. Three experimental data sets are used to validate the rightness of the proposition. The comparisons of experimental data and predictions show that the predictions based on the proposed proposition are in good accordance with the experimental results as long as the parameters that represent the linear correlativity are set an appropriate value. Meanwhile, the accuracy of the proposition is approximated to that of an existing model. Therefore, the proposition proposed in this paper is reasonable for residual life prediction.

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A New Non-Linear Continuum Damage Mechanics Model for the Fatigue Life Prediction Under Variable Loading

Cited by 25 publications

References 21 publications

Copula‐function‐based analysis model and dynamic reliability of a gear transmission system considering failure correlations

Copula‐function‐based analysis model and dynamic reliability of a gear transmission system considering failure correlations

An improved Corten-Dolan’s model based on damage and stress state effects

Residual life prediction based on nonlinear fatigue damage accumulation model

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