On sensitivity analysis for multiscale stochastic stress analysis of composites with the mesh superposition method considering random location variation of inclusions

Abstract

This paper discusses accuracy of the sensitivity analysis for multiscale stochastic stress analysis of composites by using the mesh superposition method. When analyzing the stress distribution in composite material considering the variation of inclusion’s location with the finite element method, it is necessary to regenerate the mesh because the boundaries and nodes have to coincide with each other. From this viewpoint, we focused on the mesh superposition method to improve difficulty on the mesh generating process. As this approach allows the coupling of two different mesh domains, this makes it easy to generate finite element model even if the internal structure is complex. In particular, applicability of the superposition method to the sensitivity analysis considering the stochastic stress analysis problem against a geometric random variation of inclusions is discussed. In this paper, outline of the conventional method and the problem setting are explained. Also, accuracy and applicability of the method are numerically investigated.