Yayınlanmış 1 Ocak 2012 | Sürüm v1
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The Cauchy problem for a one-dimensional nonlinear elastic peridynamic model

  • 1. Ozyegin Univ, Fac Arts & Sci, TR-34794 Istanbul, Turkey
  • 2. Sabanci Univ, Fac Engn & Nat Sci, TR-34956 Istanbul, Turkey
  • 3. Istanbul Tech Univ, Dept Math, TR-34469 Istanbul, Turkey

Açıklama

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.

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