A variant of the theory of plasticity of two-phase composite media
The author develops a mathematical theory to describe the mechanical behavior of an elasto-plastic composite on the basis of phase properties and microstructural geometry. He obtains the overall yield condition and hardening rule for two-phase composites with different phase properties. The case of a plastic state of both components is investigated in detail, and it is shown that the loading surface in the space of macrostresses has singular points. The plastic microstrains cannot be eliminated from the system of equations and hence must be considered as additional hardening parameters. The hardening of composites with ideally plastic constituents is limited. The limiting surface exists in the space of macrostresses which defines the condition of perfect plasticity.
scientific article; zbMATH DE number 1036592