From Damage to Delamination in Nonlinearly Elastic Materials at Small Strains

0380810 - ÚT 2013 RIV NL eng J - Článek v odborném periodiku
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
Grant CEP: GA MŠMT(CZ) 1M06031; GA ČR GAP201/10/0357
Výzkumný záměr: CEZ:AV0Z20760514
Klíčová slova: rate-independent systems * brittle damage * gamma-convergence for evolutionary systems
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.038, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0211423