Tampere University of Technology

TUTCRIS Research Portal

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

Research output: Contribution to journalArticleScientificpeer-review

Details

Original languageEnglish
Pages (from-to)452-463
Number of pages12
JournalVestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta, Seriya Fiziko-Matematicheskie Nauki
Volume23
Issue number3
DOIs
Publication statusPublished - 2019
Publication typeA1 Journal article-refereed

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

  • Evolution equation, High-cycle fatigue, Life-time

Publication forum classification

Field of science, Statistics Finland