WIAS Preprint No. 2359, (2016)
Linearized elasticity as Mosco-limit of finite elasticity in the presence of cracks
- Gussmann, Pascal
- Mielke, Alexander
2010 Mathematics Subject Classification
- 35J85 49J40 74B20 74A45
- Gamma convergence, Mosco convergence, finite-strain elasticity, rigidity estimate for, crack domains, global injectivity, local non-interpenetration condition
The small-deformation limit of finite elasticity is considered in presence of a given crack. The rescaled finite energies with the constraint of global injectivity are shown to Gamma converge to the linearized elastic energy with a local constraint of noninterpenetrability along the crack.
- Adv. Calculus Variations, 13 (2020), pp. 33--52 (published online on 17.10.2017), DOI 10.1515/acv-2017-0010 .