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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2019 Volume 23, Number 3, Pages 452–463 (Mi vsgtu1705)

Mechanics of Solids

Continuum approach to high-cycle fatigue. The finite life-time case with stochastic stress history

H. Orelma

Tampere University, Tampere, 33100, Finland

Abstract: 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, evolution equation.

UDC: 539.422.24

MSC: 74A10, 74R20

Received: May 21, 2019
Revised: August 12, 2019
Accepted: August 26, 2019
First online: September 2, 2019

Language: English

DOI: 10.14498/vsgtu1705



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