The cauchy problem for a one dimensional nonlinear elastic peridynamic model

Erbay, Hüsnü A. and Erkip, Albert and Muslu, Gülçin M. (2012) The cauchy problem for a one dimensional nonlinear elastic peridynamic model. (Accepted/In Press)

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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.
Item Type: Article
Subjects: Q Science > QA Mathematics > QA299.6-433 Analysis
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: Albert Erkip
Date Deposited: 24 Jan 2012 14:32
Last Modified: 26 Apr 2022 08:54
URI: https://research.sabanciuniv.edu/id/eprint/18817

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