Stress-driven local-solution approach to quasistatic brittle delamination
| Autor: | Christos Panagiotopoulos, Marita Thomas, Tomáš Roubíček |
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| Rok vydání: | 2013 |
| Předmět: |
Materials science
semi-implicit time discretisation Discretization 74M15 74R10 computational simulations Unilateral contact Hardy’s inequality rate-independent processes (d-1)-thick set Stress (mechanics) Brittleness property a 65Z05 49J45 47J20 Scaling Elastic modulus 49J40 (d - 1)-thick set Applied Mathematics Delamination General Engineering brittle limit Hardy's inequality 35K86 General Medicine Mechanics 65M38 49S05 Computational Mathematics unilateral adhesive contact lower density estimate finite perimeter General Economics Econometrics and Finance Analysis Quasistatic process 35R35 |
| DOI: | 10.20347/wias.preprint.1889 |
| Popis: | 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 modeled as governed by stresses rather than by energies. This leads to a specific scaling of an approximating elastic adhesive contact problem, discretized 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. |
| Databáze: | OpenAIRE |
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