Geodesic
Continuum approach to high-cycle fatigue. The finite life-time case with stochastic stress history
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 23 (2019) no. 3, pp. 452-463

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In this paper, we consider continuum approach for high-cycle fatigue in the case where life-time is finite. The method is based on differential equations and all basic concepts are explained. A stress history is assumed to be a stochastic process and this leads us to the theory of stochastic differential equations. The life-time is a quantity, which tells us when the breakdown of the material happens. In this method, it is naturally a random variable. The basic assumption is, that the distribution of the life-time is log-normal or Weibull. We give a numerical basic example to demonstrate the method.
Keywords: high-cycle fatigue, life-time
Mots-clés : evolution equation. 
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     author = {H. Orelma},
     title = {Continuum approach to high-cycle fatigue. {The} finite life-time case with stochastic stress history},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
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     publisher = {mathdoc},
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     year = {2019},
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H. Orelma. Continuum approach to high-cycle fatigue. The finite life-time case with stochastic stress history. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 23 (2019) no. 3, pp. 452-463. http://geodesic.mathdoc.fr/item/VSGTU_2019_23_3_a3/