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BEM implementation of energetic solutions for quasistatic delamination problems

Publikace na Matematicko-fyzikální fakulta |
2011

Tento text není v aktuálním jazyce dostupný. Zobrazuje se verze "en".Abstrakt

The problem of the onset and propagation of an elastic-brittle delamination is considered. We study delamination processes for elastic bodies glued by an adhesive to each other or to a rigid outer boundary.

The interfacial adhesive is assumed to store and also dissipate a specific amount of energy during the delamination process. Damage along the interfaces is taken into account by introducing an interface damage variable.

The present approach is based on the so-called energetic-solution concept. After introducing an implicit time discretization and a spatial discretization along the boundaries, the boundary element method (BEM) is utilized to solve the pertinent recursive boundary-value problems arising at each time step and compute the stored elastic energy.

The whole solution process is based on the global minimization of the sum of the elastic potential energy in the solids and adhesive layer, defined in terms of the displacements along boundaries and the damage parameter along the interfaces, and of the dissipated energy at each time step. Numerical solution of a delamination problem is presented to demonstrate the capabilities of this new approach.