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.
| Original language | English |
|---|---|
| Pages (from-to) | 452-463 |
| Number of pages | 12 |
| Journal | Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta, Seriya Fiziko-Matematicheskie Nauki |
| Volume | 23 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2019 |
| Publication type | A1 Journal article-refereed |
Keywords
- Evolution equation
- High-cycle fatigue
- Life-time
Publication forum classification
- No publication forum level
ASJC Scopus subject areas
- Mechanics of Materials
- Condensed Matter Physics
- Mathematical Physics
- Modelling and Simulation
- Analysis
- Applied Mathematics
- Software