Numerical experiments with two-dimensional elastic-viscoplastic bars

Numerical solutions of two-dimensional elastic-viscoplastic wave propagation in bars of various shapes are discussed. Hondo code with the addition of a new sub-program for Bodner-Partom's constitutive equation is used for the analysis. For a two-dimensional elastic bar and a one-dimensional elastic/linear-hardening plastic bar, Hondo numerical results agree well with available analytical or numerical solutions. For elastic-viscoplastic bar, numerical solutions show some interesting features of the dynamic responses. The responses for Bodner-Partom constitutive equation were found to lie between the results for elastic-plastic and purely elastic constitutive relation. The precursor wave always propagates at the speed of elastic wave. For a bar with both discontinuities of cross-section and material properties, the computation showed the disappearance of stress localization, which usually exists for single-material bar with a geometric discontinuity.