Numerical modelling of shocks in solids with elastic-plastic conditions |
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Authors: | M B Tyndall |
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Institution: | (1) Materials Research Laboratory, Defence Science and Technology Organisation, P.O. Box 50, 3032 Ascot Vale, Victoria, Australia |
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Abstract: | Results are presented for a range of one- and two-dimensional shock-wave problems in elastic-plastic and hydrodynamic metals. These problems were solved numerically using the Flux-Corrected Transport (FCT) technique which achieves high resolution without non-physical oscillations, especially at shock fronts, and has not been used before in elastic-plastic solids. The two-dimensional problems were solved using both operator- and non-operator-split techniques to highlight the significant differences between these techniques when solving shock-wave problems in elastic-plastic solids. Comparisons of the elastic-plastic solutions with the hydrodynamic solutions are made and illustrate the importance of including elastic-plastic conditions when modelling the behaviour of solids. Also, the errors in these solutions that are due to the initial conditions are discussed in detail.This article was processed using Springer-Verlag TEX Shock Waves macro package 1.0 and the AMS fonts, developed by the American Mathematical Society. |
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Keywords: | Numerical simulation Flux-corrected transport Shock in solids Elastic-plastic conditions |
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