Journal
JOURNAL OF ELASTICITY
Volume 109, Issue 2, Pages 235-273Publisher
SPRINGER
DOI: 10.1007/s10659-012-9379-0
Keywords
Rate-independent systems; Brittle damage; Gamma-convergence for evolutionary systems; Brittle delamination
Funding
- MSMT CR [LC 06052, MSM 21620839, 1M06031]
- DFG within the RTG [1128]
- GA AV CR [A 100750802]
- GA CR [201/10/0357, 201/09/0917]
- CR [AV0Z20760514]
- DFG within MATHEON [C18]
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Brittle Griffith-type delamination of compounds is deduced by means of I-convergence from partial, isotropic damage of three-specimen-sandwich-structures by flattening the middle component to the thickness 0. The models used here allow for nonlinearly elastic materials at small strains and consider the processes to be unidirectional and rate-independent. The limit passage is performed via a double limit: first, we gain a delamination model involving the gradient of the delamination variable, which is essential to overcome the lack of a uniform coercivity arising from the passage from partial damage to delamination. Second, the delamination gradient is suppressed. Noninterpenetration- and transmission-conditions along the interface are obtained.
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