Plastic yield surfaces of anisotropic porous materials in terms of effective electric conductivities

Plastic yield surface of a porous ductile material with generally anisotropic porous space is constructed in terms of the effective conductivities. Such a cross-property connection is possible provided hardening of the bulk material is negligible and porosity does not exceed 0.15–0.17. The following results are utilized: (1) computational studies of Zohdi et al. [Zohdi, T., Kachanov, M., Sevostianov, I., 2002. A microscale numerical analysis of a plastic flow in a porous material. International Journal of Plasticity 18, 1649–1659] show that, if the mentioned conditions are met, local “pockets” of plasticity remain isolated and well contained in the elastic field, resulting in approximately linear stress–strain curve, almost up to the yield point; (2) elasticity–conductivity cross-property connections for porous materials that were given in the explicit form by Sevostianov and Kachanov [Sevostianov, I., Kachanov, M., 2002. Explicit cross-property correlations for anisotropic two-phase composite materials. Journal of the Mechanics and Physics of Solids 50, 253–282].