The Cauchy problem for a one-dimensional nonlinear elastic peridynamic model


Erbay H. A. , Erkip A., Muslu G. M.

JOURNAL OF DIFFERENTIAL EQUATIONS, cilt.252, sa.8, ss.4392-4409, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 252 Konu: 8
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.jde.2012.01.008
  • Dergi Adı: JOURNAL OF DIFFERENTIAL EQUATIONS
  • Sayfa Sayıları: ss.4392-4409

Özet

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 three. The conditions for finite-time blow-up of solutions are established. (C) 2012 Elsevier Inc. All rights reserved.