Plastic Deformation of a Material with Voids and an Anisotropic Yield Function. 2nd Report. Deformation Behavior of a Unit Cell and Yield Locus.

Abstract

In a previous study, the authors proposed an anisotropic yield function for a porous solid. The FE calculations were performed in this investigation for a unit cell of a porous solid and a comparison was made between yield loci derived from the proposed yield function and those determined from the FE model. For two types of FE models, a flat plate with a periodic array of cylindrical holes under biaxial loading and a porous solid with a periodic array of spherical voids under axial load and superimposed hydrostatic pressures, the agreement between the yield function and numerical results were good, especially for the flat plate. Good correspondence can be obtained by introducing a scalar multiplier in the pressure-dependent term in the yield function.