Journal
INTERFACES AND FREE BOUNDARIES
Volume 20, Issue 1, Pages 25-67Publisher
EUROPEAN MATHEMATICAL SOC
DOI: 10.4171/IFB/396
Keywords
Cohesive fracture; quasi-static propagation; BV-evolution
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Funding
- INdAM-GNAMPA project Flussi gradiente ed evoluzioni rate-independent: sviluppi dell'approccio variazionale ed applicazioni
- ERC Advanced Grant [290888]
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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 BV-evolutions, employing a discrete scheme based on local minimization, with respect to the H-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.
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