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Mathematics and Mechanics of Solids
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A Rate-Independent Approach to the Delamination Problem

M. Kocvara

Institute of Information Theory and Automation, Academy of Sciences, Pod vodárenskou vezí 4, CZ-182 08 Praha 8, Czech Republic and Czech Technical University, Faculty of Electrical Engineering, Technickà 2, 166 27 Praha 6, Czech Republic

A. Mielke

Institut für Analysis, Dynamik und Modellierung, Universität Stuttgart, Pfaffenwaldring 57, D-70569 Stuttgart, Germany; Present address: WIAS, Mohrenstraße 39, 0-10117 Berlin, Germany

T. Roubícek

Mathematical Institute, Charles University, Sokolovská 83, CZ-186 75 Praha 8, Czech Republic and Institute of Information Theory and Automation, Academy of Sciences, Pod vodárenskou vezí 4, CZ-182 08 Praha 8, Czech Republic

We study delamination processes for elastic bodies glued together by an adhesive as an activated, rate-independent process. The adhesive is assumed to absorb a specific amount of energy during the delami-nation process. A solution is defined by energetic principles of stability and balance of stored and dissipated energies with the work of external loading, realized here through displacement on parts of the boundary. Starting from a time discretization, we construct solutions via a rigorous limiting analysis. Moreover, we provide computer simulations for some model problems using a further finite-element spatial discretization.

Key Words: Inelastic damage • variational inequality • numerical approximation • finite elements • convergence analysis • simulations

This version was published on August 1, 2006

Mathematics and Mechanics of Solids, Vol. 11, No. 4, 423-447 (2006)
DOI: 10.1177/1081286505046482
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