Author(s)

P. Procházka

Abstract

In the paper a new procedure for effective properties of nonlinear composites will be proposed. Based on boundary element method various ratios of phase stiffnesses are studied. Special properties of the stress distribution (or concentration factors) on a unit cell are utilized. The overall properties start with Hashin-Shtrikman idea, which is transformed to a numerical framework. Without loss of generality geometrical boundary conditions on the boundary of a unit cell are prescribed in this study. A special case of the presented approach is the effect of pore pressure, occurring in fiber reinforced concrete, for example. Also nonlinear behavior of the phases is taken into consideration, especially the von Mises-Huber-Hencky criterion is adopted in the model of matrix. The examples are exclusively prepared for two-phase materials. Keywords: boundary element method, various stiffness of phases, plasticity, Hashin-Shtrikman variational principle.

Keywords

boundary element method, various stiffness of phases, plasticity, Hashin-Shtrikman variational principle