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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
14/2009

Quasistatic delamination problem

Tomas Roubicek, Lucia Scardia and Chiara Zanini

Abstract

We study delamination of two elastic bodies glued together by an adhesive that can undergo a unidirectional inelastic rate-independent process. The quasistatic delamination process is thus activated by time-dependent external loadings, realized through body forces and displacements prescribed on parts of the boundary. The novelty of this work consists of considering the glue as infinitesimally thin and ideally rigid in the sense that a crack in the glue cannot be seen before, speaking "microscopically", all macromolecular links of the adhesive are fully debonded. The concept of energetic solution is applied and existence of such solutions is proved by showing ${\Gamma}$-convergence of a suitable approximation that, in addition, allows for a direct computer implementation, unlike the original problem.

Received:
Mar 16, 2009
Published:
Mar 24, 2009
MSC Codes:
49J40, 74G65, 74R05, 74M15, 35K90
Keywords:
delamination, debonding, rate-independent processes, energetic formulation, gamma-convergence

Related publications

inJournal
2009 Repository Open Access
Tomas Roubicek, Lucia Scardia and Chiara Zanini

Quasistatic delamination problem

In: Continuum mechanics and thermodynamics, 21 (2009) 3, pp. 223-235