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Article

Zeman, Jan ; Gruber, Pavel
Numerical approach to a rate-independent model of decohesion in laminated composites. (English). In: Chleboun, J., Přikryl, P., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 6-11, 2010. Institute of Mathematics AS CR, Prague, 2010. pp. 239-250
MSC: 65M60, 65M99, 74R99
Keywords:
decohesion; laminated composites; alternating minimization algorithm
Summary:
In this paper, we present a numerical approach to evolution of decohesion in laminated composites based on incremental variational problems. An energy-based framework is adopted, in which we characterize the system by the stored energy and dissipation functionals quantifying reversible and irreversible processes, respectively. The time-discrete evolution then follows from a solution of incremental minimization problems, which are converted to a fully discrete form by employing the conforming finite element method. Results of a benchmark problem suggest that the resulting model allows to describe both initiation and propagation of interfacial decohesion, with a low sensitivity to spatial discretization.
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