JournalsifbVol. 20, No. 1pp. 25–67

Approximation and characterization of quasi-static H1H^1-evolutions for a cohesive interface with different loading-unloading regimes

  • Matteo Negri

    Università di Pavia, Italy
  • Enrico Vitali

    Università di Pavia, Italy
Approximation and characterization of quasi-static $H^1$-evolutions for a cohesive interface with different loading-unloading regimes cover
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Abstract

We consider the quasi-static evolution of a prescribed cohesive interface: dissipative under loading and elastic under unloading. We provide existence in terms of parametrized BVBV-evolutions, employing a discrete scheme based on local minimization, with respect to the H1H^1-norm, of a regularized energy. Technically, the evolution is fully characterized by: equilibrium, energy balance and Karush–Kuhn–Tucker conditions for the internal variable. Catastrophic regimes (discontinuities in time) are described by gradient flows of visco-elastic type.

Cite this article

Matteo Negri, Enrico Vitali, Approximation and characterization of quasi-static H1H^1-evolutions for a cohesive interface with different loading-unloading regimes. Interfaces Free Bound. 20 (2018), no. 1, pp. 25–67

DOI 10.4171/IFB/396