Abstract
The general balance laws and jump relations of the nonlinear electroelasticity of anisotropic dielectrics presented in a previous work are systematically used to characterize and classify infinitesimal discontinuities and electroelastic shocks that can propagate in a simplified one-dimensional model. In particular, the characteristic speeds are obtained, the thermodynamical behavior of weak electroelastic shocks is established, and a classification of electroelastic shocks is given when the material admits a quadratic energy (so-called neo-Hookean case). The Hugoniot jump equation plays the fundamental role in the second point while electric switch-on and switch-off shocks can be exhibited in the classification. The work paves the way for a fully three-dimensional study in anisotropic ferroelectrics and ceramics.
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Ani, W., Maugin, G.A. One-dimensional nonlinear motions in electroelastic solids: Characteristics and shock waves. Z. angew. Math. Phys. 39, 277–298 (1988). https://doi.org/10.1007/BF00945051
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DOI: https://doi.org/10.1007/BF00945051