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• W2013318711 abstract "In this paper, we present a numerical scheme based on the local discontinuous Galerkin (LDG) method for the wave propagation of phase transition in a slender cylinder by introducing new temporal auxiliary variables. The stability for the LDG scheme is presented. In order to verify the validity of the LDG scheme, we give the errors and accuracy order of a numerical example. Due to the interaction between the dispersion and the material nonlinearity, some interesting wave patterns occur for different pre-strains and impacts, such as the pattern with transformation front and solitary wave and the pattern with rarefaction wave and solitary wave. We also investigate the interaction of the transformation fronts and rarefaction waves, and demonstrate this interesting wave phenomena." @default.
• W2013318711 created "2016-06-24" @default.
• W2013318711 creator A5017657512 @default.
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• W2013318711 date "2013-12-01" @default.
• W2013318711 modified "2023-10-16" @default.
• W2013318711 title "Local Discontinuous Galerkin Method for the Impact-Induced Wave in a Slender Cylinder Composed of a Non-Convex Elastic Material" @default.
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• W2013318711 doi "https://doi.org/10.1007/s40304-013-0022-6" @default.
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