Quasistatic Crack Growth in Nonlinear Elasticity

Abstract.

In this paper, we prove a new existence result for a variational model of crack growth in brittle materials proposed in [19]. We consider the case of n-dimensional nonlinear elasticity, for an arbitrary n≧1, with a quasiconvex bulk energy and with prescribed boundary deformations and applied loads, both depending on time.

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Correspondence to Gianni Dal Maso.

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Communicated by A. Mielke

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Maso, G., Francfort, G. & Toader, R. Quasistatic Crack Growth in Nonlinear Elasticity. Arch. Rational Mech. Anal. 176, 165–225 (2005). https://doi.org/10.1007/s00205-004-0351-4

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Keywords

  • Neural Network
  • Brittle
  • Complex System
  • Nonlinear Dynamics
  • Applied Load