Abstract

A variational formulation is derived for the incremental analysis of the nonsteady large deformation of normal anisotropic rigid-plastic sheet metal obeying Hill's new yield criterion. The associated finite element equations are formulated for the analysis of the hydrostatic bulging of elliptical diaphragms. Using the natural convected coordinate system, the numerical procedure is improved. In the finite element analysis, the contact between sheet metal and die shoulder is considered by using a skew boundary condition. The relation between bulging pressure and deformation is studied and discussed in comparison with existing experimental results.

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