Abstract
Constitutive modeling is studied for the homogenized elastic-viscoplastic behavior of pore-pressurized anisotropic open-porous bodies made of metallic solids. For this, by describing micro-macro relations relevant to periodic unit cells of anisotropic open-porous bodies subjected to pore pressure, constitutive features are discussed for the viscoplastic macro-strain rate in steady states. On the basis of the constitutive features found, the viscoplastic macro-strain rate is represented as an anisotropic function of Terzaghi's effective stress, which is shown using Hill's macro-homogeneity condition. The resulting homogenized equation is used to simulate the homogenized elastic-visco plastic behavior of an ultrafine plate-fin structure under uniaxial and biaxial loading conditions combined with pore pressure. The corresponding finite element homogenization analysis is also performed for comparison. It is demonstrated that the developed homogenized constitutive equation simulates well the anisotropic effect of pore pressure.
