Smooth solutions for nonlinear elastic waves with softening

Abstract : A new hyperbolic softening model has been proposed for wave propagation in damaged solids [2]. The linear elasticity becomes nonlinear through an additional internal variable. This thermodynamically relevant model yields a dissipative energy. The 3×3 nonlinear hyperbolic system so-obtained is totally linearly degenerate like the well-known Kerr-Debye system. Existence of global smooth solutions is studied here thanks to the Kawashima condition. Moreover, shocks never appear with smooth initial data.
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https://hal.archives-ouvertes.fr/hal-01994898
Contributor : Stéphane Junca <>
Submitted on : Friday, April 19, 2019 - 10:45:05 AM
Last modification on : Saturday, April 20, 2019 - 1:41:58 AM

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  • HAL Id : hal-01994898, version 2

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Harold Berjamin, Stéphane Junca, Bruno Lombard. Smooth solutions for nonlinear elastic waves with softening. HYP2018, Alberto BRESSAN, Jun 2018, College Park, United States. ⟨hal-01994898v2⟩

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