Abstract

An incremental formulation incorporating the effect of shape change is derived for the non-steady large deformation problem of a rate-independent isotropic elastic-plastic shell. The deformation during a step is studied using the natural convected coordinate system. To account for the spread of the plastic zone in the thickness direction, a layered model is used. Change of thickness is considered by using the incompressibility condition. The corresponding finite element equations are found in order to analyse the sheet metal deformation in which the effects of shape change and bending are significant. Based on the derived equations, the FEM program is developed to analyse the hydrostatic bulging process for rectangular diaphragms. The computational results are then compared with the available experimental results.

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