期刊
INTERFACES AND FREE BOUNDARIES
卷 20, 期 1, 页码 25-67出版社
EUROPEAN MATHEMATICAL SOC
DOI: 10.4171/IFB/396
关键词
Cohesive fracture; quasi-static propagation; BV-evolution
资金
- INdAM-GNAMPA project Flussi gradiente ed evoluzioni rate-independent: sviluppi dell'approccio variazionale ed applicazioni
- ERC Advanced Grant [290888]
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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