Abstract

The paper is concerned with the elasto-plastic behaviour of two-phase composite materials with regular internal structure. The macroscopic behaviour of the composite is studied in terms of the mechanical properties of the constituents, their volume fractions and geometrical arrangement. Both constituents are assumed to be elastic-ideal plastic, and the associated flow rule is assumed to be valid. No restrictions are placed on the yield conditions of the constituents. Firstly, the macrobehaviour in an elastic range is described. Then, the method of determination of the initial yield surface of the composite is presented. Subsequently, the incremental equations describing the macrobehaviour in the case when one of the constituents becomes plastic are derived. It also includes a description of the macrohardening phenomenon and a discussion of the determination of the composite limit surface. The proposed theory is illustrated by a single example concerning the elasto-plastic analysis of reinforced earth.

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