Numerical Approximation of Stochastic Systems for Composite Materials Based on Markov Chains

Abstract:

Article Preview

The crack density and crack growth rate are important parameters which are used to describe the fatigue damage and predict fatigue life of a composite material. Even the same good manufacturing practice, the fatigue damage of materials may be different. Also material properties often accompany random fluctuation. Thus stochastic systems are used to present the crack density and crack growth rate. It is surprising that there are not any numerical schemes established for hybrid stochastic systems in composite materials. In this paper, based on Markov chains, the Euler-aruyama method is developed, and the main aim is to show the convergence of the numerical solutions under the non-Lipschitz condition for hybrid stochastic material systems.

Info:

Periodical:

Edited by:

Helen Zhang and David Jin

Pages:

88-91

DOI:

10.4028/www.scientific.net/AMR.321.88

Citation:

H. Yang and F. Jiang, "Numerical Approximation of Stochastic Systems for Composite Materials Based on Markov Chains", Advanced Materials Research, Vol. 321, pp. 88-91, 2011

Online since:

August 2011

Authors:

Export:

Price:

$35.00

In order to see related information, you need to Login.

In order to see related information, you need to Login.