The Cauchy Problem for a One Dimensional Nonlinear Elastic Peridynamic Model

@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}
}
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