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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Official URL: http://dx.doi.org/10.1016/j.jde.2012.01.008
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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- The cauchy problem for a one dimensional nonlinear elastic peridynamic model. (deposited 24 Jan 2012 14:32) [Currently Displayed]
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