From Damage to Delamination in Nonlinearly Elastic Materials at Small Strains

0380810 - ÚT 2013 RIV NL eng J - Journal Article
Mielke, A. - Roubíček, Tomáš - Thomas, M.
From Damage to Delamination in Nonlinearly Elastic Materials at Small Strains.
Journal of Elasticity. Roč. 109, č. 2 (2012), s. 235-273. ISSN 0374-3535. E-ISSN 1573-2681
R&D Projects: GA MŠMT(CZ) 1M06031; GA ČR GAP201/10/0357
Institutional research plan: CEZ:AV0Z20760514
Keywords : rate-independent systems * brittle damage * gamma-convergence for evolutionary systems
Subject RIV: BA - General Mathematics
Impact factor: 1.038, year: 2012
http://www.springerlink.com/content/a42r23up5t1r4g8w/

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 rateindependent. 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.
Permanent Link: http://hdl.handle.net/11104/0211423