A geometrical approach to nonconservative shocks and elastoplastic shocks

作者:Despres Bruno*
来源:Archive for Rational Mechanics and Analysis, 2007, 186(2): 275-308.
DOI:10.1007/s00205-007-0083-3

摘要

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.

  • 出版日期2007-11
  • 单位中国地震局