Abstract
We extend the recent existence result of Dal Maso and Lazzaroni (Ann Inst H Poincaré Anal Non Linéaire 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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Lazzaroni, G. Quasistatic crack growth in finite elasticity with Lipschitz data. Annali di Matematica 190, 165–194 (2011). https://doi.org/10.1007/s10231-010-0145-2
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DOI: https://doi.org/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