(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2010) Mielke, Alexander; Roubíček, Thomáš; Thomas, Marita
Brittle Griffith-type delamination of compounds is deduced by means of
Gamma-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 supressed. Noninterpenetration- and
transmission-conditions along the interface are obtained
