Dynamic Elasto-Plastic Response of Shells in an Acoustic Medium - Theoretical Development for the EPSA Code
WEIDLINGER ASSOCIATES NEW YORK
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The EPSA Elastic-Plastic Shell Analysis code has been developed for the analysis of shells in an acoustic medium subjected to dynamic loadings which produce large elasto-plastic deformations in the shell. The analysis includes the modeling of significant internal structures, which produce hard spots on the shell. In addition, the effects of ambient pressure are considered. This report presents the theoretical development for the EPSA code and a description of the code itself. A users manual for EPSA is planned for the future. The structural equations of motion are derived from the principle of virtual work and descretized over the shell in a manner typical of finite element procedures. The integration in time of the equations of motion are done explicitly via a central difference scheme. The nonlinear Donnell-Vlasov kinematic equations of shell theory are used. Plate strain-displacement relations are established by a two dimensional finite difference scheme.