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A Geometrical Approach to Nonconservative Shocks and Elastoplastic Shocks

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Abstract

We study systems of conservation laws with convex inequality constraints. We analyze shock solutions for the underlying nonconservative system of partial differential equations. Then we study a model elastoplastic system of partial differential equations in the context of hypoelasticity. We show that a sonic point is necessary to construct a compression solution that begins at a constrained compressed state.

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Authors and Affiliations

  1. Commissariat à l’Energie Atomique, CEA/DIF, 91680, Bruyères le Chatel, France

    Bruno Despres

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  1. Bruno Despres
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Correspondence to Bruno Despres.

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Communicated by T.-P. Liu

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Despres, B. A Geometrical Approach to Nonconservative Shocks and Elastoplastic Shocks. Arch Rational Mech Anal 186, 275–308 (2007). https://doi.org/10.1007/s00205-007-0083-3

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  • DOI: https://doi.org/10.1007/s00205-007-0083-3

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