

Preprint 14/2009
Quasistatic delamination problem
Tomas Roubicek, Lucia Scardia, and Chiara Zanini
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Submission date: 16. Mar. 2009
Pages: 15
published in: Continuum mechanics and thermodynamics, 21 (2009) 3, p. 223-235
DOI number (of the published article): 10.1007/s00161-009-0106-4
Bibtex
MSC-Numbers: 49J40, 74G65, 74R05, 74M15, 35K90
Keywords and phrases: delamination, debonding, rate-independent processes, energetic formulation, gamma-convergence
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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 -convergence
of a suitable approximation that, in addition, allows for a direct
computer implementation, unlike the original problem.