Stress-driven local-solution approach to quasistatic brittle delamination

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Date
2013
Volume
1889
Issue
Journal
Series Titel
WIAS Preprints
Book Title
Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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Abstract

A unilateral contact problem between elastic bodies at small strains glued by a brittle adhesive is addressed in the quasistatic rate-independent setting. The delamination process is modelled as governed by stresses rather than by energies. This results in a specific scaling of an approximating elastic adhesive contact problem, discretised by a semi-implicit scheme and regularized by a BV-type gradient term. An analytical zero-dimensional example motivates the model and a specific local-solution concept. Two-dimensional numerical simulations performed on an engineering benchmark problem of debonding a fiber in an elastic matrix further illustrate the validity of the model, convergence, and algorithmical efficiency even for very rigid adhesives with high elastic moduli.

Description
Keywords
Unilateral adhesive contact, brittle limit, rate-independent processes, semi-implicit time discretisation, finite perimeter, property a, (d - 1)-thick set, lower density estimate, Hardy’s inequality, computational simulations.
Citation
Roubíček, T., Thomas, M., & Panagiotopoulos, C. (2013). Stress-driven local-solution approach to quasistatic brittle delamination (Vol. 1889). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
License
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