The cauchy problem for a one dimensional nonlinear elastic peridynamic model

Abstract

This paper studies the Cauchy problem for a one-dimensional nonlinear peridynamic model describing the dynamic response of an innitely long elastic bar. The issues of local well-posedness and smoothness of the solutions are discussed. The existence of a global solution is proved …rst in the sublinear case and then for nonlinearities of degree at most three. The conditions for nite-time blow-up of solutions are established.

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• The cauchy problem for a one dimensional nonlinear elastic peridynamic model. (deposited 24 Jan 2012 14:32) [Currently Displayed]
  • The Cauchy problem for a one dimensional nonlinear elastic peridynamic model. (deposited 04 Apr 2012 16:05)