Abstract

A 2D axisymmetric Eulerian method is developed for studying multi-material elastic-plastic problems involving large material deformations. It consists of a Lagrangian plus remap strategy using a volume-of-fluid (VOF) based material interface tracking. The multi-material formulation used in this method allows one to update the energy and stress components of each material in a mixed cell independently. This assumes common strain-rates to all materials present in a mixed cell. The equivalent pressure and stress in a mixed cell are determined using volume weighted average. The present scheme, therefore, eliminates the commonly used pressure relaxation method, mixed EOS evaluation and energy partition schemes. The stress components of each material are transported using a second-order monotonic upwind scheme (MUSCL) due to van Leer. The capability of the proposed method is demonstrated by applying to various impact and penetration problems involving large material deformations. Reasonable agreement with experimental results are observed.

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