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Numerical modelling of shocks in solids with elastic-plastic conditions. (English) Zbl 0782.73023
The problems of one- and two-dimensional shock waves under elastic- plastic conditions together with stiffened-gas equation of state are considered using flux-corrected transport technique. Both operator-split and non-operator-split results are used to demonstrate certain features of the solution. The elastic-plastic conditions highlight some differences between operator-split and non-operator split solutions. A comparison with hydrodynamic models in made. The errors due to initial conditions appear in the form of spikes when large pressure and energy ratio is considered. In other studies one would use an artificial heat conduction or viscocity term to eliminate these spikes. No such attempt is made here in order to avoid loss of high resolution of shock fronts.

74J10 Bulk waves in solid mechanics
74J99 Waves in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
Full Text: DOI
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