4.4 Article

Quasistatic crack growth in finite elasticity with Lipschitz data

Journal

ANNALI DI MATEMATICA PURA ED APPLICATA
Volume 190, Issue 1, Pages 165-194

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s10231-010-0145-2

Keywords

Variational models; Energy minimization; Free-discontinuity problems; Polyconvexity; Quasistatic evolution; Rate-independent processes; Brittle fracture; Crack propagation; Griffith's criterion; Finite elasticity; Non-interpenetration

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We extend the recent existence result of Dal Maso and Lazzaroni (Ann Inst H Poincare Anal Non Lineaire 27:257-290, 2010) for quasistatic evolutions of cracks in finite elasticity, allowing for boundary conditions and external forces with discontinuous first derivatives.

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