Multiscale stochastic stress analysis of particle reinforced composites with a successive local approximation considering randomness in multi-particle location

Abstract

This paper discusses a multiscale stochastic stress analysis of a particle reinforced composite material with a successive approximation based on the local sensitivity analysis of microscopic stresses with respect to a random location variation of particles. A microscopic geometrical random variation will have a significant influence on the microscopic stress fields in a heterogeneous material, and probabilistic analysis of the stresses should be encouraged for estimation of probabilistic properties of the stresses for more reliable structural design. Further, a more complicated microstructure reflecting an actual material considering wider analysis region, for example, including a larger number of inclusions in composite materials will be required for a practical application. This numerical analysis will be very expensive, and therefore a successive local sensitivity analysis-based approximate multiscale stochastic analysis method has been proposed for unidirectional fiber reinforced composite material. In this research, this approach is extended to a three-dimensional problem, and effectiveness of the approach for the multiscale stochastic analysis of a particle reinforced composite material is investigated. In this paper, the problem setting and outline of the methodology are provided, and the effectiveness and accuracy of the presented method are discussed with the numerical results.

Keywords

• multiscale stochastic srtress analysis
• particle reinfored composite material
• microscopic geometrical random variation
• succssive local approximation