Abstract
We study the homogenized elastic-viscoplastic behavior of anisotropic open-porous bodies subjected to two pore pressures, p_1 and p_2. The open-porous bodies considered are assumed to be periodic and composed of metallic materials. Hill's macrohomogeneity equation is used to show three special cases in which one of p_1 p_2 or p_m (the mean of p_1 and p_2) entirely affects the homogenized viscoplastic behavior in the steady state. To verify the thiee special cases, we perform FE homogenization analysis of an ultrafine plate-fin structure subjected to p_1 and p_2, for which two base metals with different strain-rate sensitivities are considered. It is demonstrated that the three special cases typically occur under uniaxial tension and compression in the stacking direction, depending on the strain-rate sensitivity of the base metals. It is further shown that a macromatenal model reproduces well the homogenized stress-strain relations attained in the FE homogenized analysis if p_1, p_2 or p_m is entered for Terzagi's effective stress in the viscoplastic equation in the macromatenal model.
