Stress-driven local-solution approach to quasistatic brittle delamination

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Date
2013
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Volume Title
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Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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.

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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
Citation
Roubíček, T., Thomas, M., & Panagiotopoulos, C. (2013). Stress-driven local-solution approach to quasistatic brittle delamination (Version publishedVersion, Vol. 1889). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
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