FEM analysis on elastic-plastic deformation of perforated sheets

Abstract

The influence of distribution and growth of voids on macroscopic mechanical properties are important issues in the ductile fracture of metals. In the present paper, we consider perforated sheets with regularly distributed holes as a simple model for void containg materials. Elastic-Plastic deformation of perforated sheet, where circular holes are distributed regularly, was analyzed numerically under the plane stress condition by means of finite element method introducing the periodic boundary conditions. It is shown that the deformation behavior depends highly on the distribution and arrangement of holes. This results in anisotropy of yield stresses of perforated sheets, which is related to the stress concentration near the holes. It is also shown that the plastic region in perforated sheets does not develop simply in the direction to adjacent holes.