@inproceedings{Erbay2012TheCP, title={The Cauchy Problem for a One Dimensional Nonlinear Elastic Peridynamic Model}, author={H. A. Erbay and A. Erkip and Gulcin M. Muslu}, year={2012} }

- Published 2012

This paper studies the Cauchy problem for a one-dimensional nonlinear peridynamic model describing the dynamic response of an infinitely long elastic bar. The issues of local well-posedness and smoothness of the solutions are discussed. The existence of a global solution is proved first in the sublinear case and then for nonlinearities of degree at most… CONTINUE READING

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