An artificial viscosity approach to quasistatic crack growth

Abstract

We introduce a new model of irreversible quasistatic crack growth in which the evolution of cracks is the limit of a suitably modified $\epsilon$-gradient flow of the energy functional, as the "viscosity" parameter $\epsilon$ tends to zero.

26 pages, 3 figures

References in corpus (1)

• A model for the quasi-static growth of brittle fractures: existence and approximation results

Cited by in corpus (5)

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• Data-Driven Rate-Dependent Fracture Mechanics
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• Irreversibility and alternate minimization in phase field fracture: a viscosity approach
• Regularity of weak solutions to rate-independent systems in one-dimension