title   
  

The Cauchy problem for a one dimensional nonlinear elastic peridynamic model

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Erbay, Hüsnü A. and Erkip, Albert and Muslu, Gülçin M. (2012) The Cauchy problem for a one dimensional nonlinear elastic peridynamic model. Journal of Differential Equations, 252 (8). pp. 4392-4409. ISSN 0022-0396

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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
Uncontrolled Keywords: Nonlocal Cauchy problem; Nonlinear peridynamic equation; Global existence; Blow-up
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: 04 Apr 2012 16:05
Last Modified: 26 Apr 2022 08:54
URI: https://research.sabanciuniv.edu/id/eprint/18935

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