Stress-driven local-solution approach to quasistatic brittle delamination

0456076 - ÚT 2016 RIV GB eng J - Článek v odborném periodiku
Roubíček, Tomáš - Thomas, M. - Panagiotopoulos, Ch.
Stress-driven local-solution approach to quasistatic brittle delamination.
Nonlinear Analysis: Real World Applications. Roč. 22, April (2015), s. 645-663. ISSN 1468-1218. E-ISSN 1878-5719
Grant CEP: GA ČR GAP201/10/0357
Institucionální podpora: RVO:61388998
Klíčová slova: unilateral adhesive contact * brittle limit * rate-independent processes
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 2.238, rok: 2015
http://ac.els-cdn.com/S1468121814001242/1-s2.0-S1468121814001242-main.pdf?_tid=858ed642-d4c1-11e5-95d4-00000aacb35d&acdnat=1455636514_256ad6f368e89062d783bce2ac1f9a02

A unilateral contact problem between elastic bodies at small strains glued by a brittle adhesive is addressed in the quasistatic rate-independent setting. The delamination process is modeled as governed by stresses rather than by energies. This leads to a specific scaling of an approximating elastic adhesive contact problem, discretized by a semi-implicit scheme and regularized by a BV-type gradient term. An analytical zero-dimensional example motivates the model and a specific local-solution concept. Two-dimensional numerical simulations performed on an engineering benchmark problem of debonding a fiber in an elastic matrix further illustrate the validity of the model, convergence, and algorithmical efficiency even for very rigid adhesives with high elastic moduli.
Trvalý link: http://hdl.handle.net/11104/0257179