Analysis of the deformation of a perforated sheet under uniaxial tension

Abstract

Two-dimensional (2D) and three-dimensional (3D) finite-element methods (FEM) have been used to analyse the deformation behaviour of a perforated sheet during uniaxial tension. The 2D results analysed under plane stress and plane strain have been compared with the results of 3D analysis. As the thickness and the diameter of holes increase, the deformation behaviour at the yield point becomes closer to plane strain. A shadow mask was used for the tensile test of the perforated sheet, the shadow mask containing holes the size of which varied across the thickness. Because the apparent plastic contraction ratio of the perforated sheets was dependent on hole size, the tensile specimens of the shadow mask suffered bending when subjected to unaxial tension. The calculated radii of curvature of the bent specimens as a function of strain were found to be in good agreement with measured data.