Stress-driven local-solution approach to quasistatic brittle delamination. (April 2015)

• Record Type: Journal Article
• Authors: Roubíček, Tomáš; Thomas, Marita; Panagiotopoulos, Christos G.
• Is Part Of: Nonlinear analysis. Volume 22(2015)
• Page Start: 645
• Page End: 663
• Publication Date: 2015-04
• Subjects: Unilateral adhesive contact -- Brittle limit -- Rate-independent processes -- Semi-implicit time discretization -- Finite perimeter -- Computational simulations; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2014.09.011
• Languages: English
• ISSNs: 1468-1218

Abstract

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 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.