Homogenized elastic–viscoplastic behavior of plate-fin structures with two pore pressures

• Homogenized elastic–viscoplastic behavior of plate-fin structures with two pore pressures was studied.
• Hill's macrohomogeneity equation was used to show three special cases in the homogenized behavior.
• Finite element homogenization analysis of an ultrafine plate-fin structure was performed to verify the three special cases.
• The three special cases typically occurred under tension and compression in the stacking direction.
• A macromaterial model reproduced well the homogenized stress–strain relations attained in the finite element analysis.

We investigate the homogenized elastic–viscoplastic behavior of plate-fin structures subjected to two pore pressures, p1p1 and p2p2. The plate-fin structures 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 p1p1, p2p2 or pmpm (the mean of p1p1 and p2p2) entirely affects the homogenized viscoplastic behavior in the steady state. To verify the three special cases, we perform FEH (finite element homogenization) analysis of an ultrafine plate-fin structure subjected to p1p1 and p2p2, 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 macromaterial model reproduces well the homogenized stress–strain relations attained in the FEH analysis if p1p1, p2p2 or pmpm is entered for Terzaghi׳s effective stress in the viscoplastic equation in the macromaterial model.

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