From cohesive to brittle debonding: the quasistatic framework
Abstract
The approximation of brittle laws via steeper and steeper cohesive profiles is validated within the mechanical setting of debonding models, which describe the detachment process of a peeled elastic adhesive membrane. In a quasistatic framework, energetic solutions to a suitably rescaled cohesive debonding problem, formulated in terms of displacements, are proved to converge to a limit evolution of shapes solving its brittle counterpart. The proposed approach relies on an equivalent and recently introduced free-boundary reformulation of this latter model.
Fields of Study & Subjects
Numerical methods in engineering
Elasticity and Material Modeling
Composite Material Mechanics
Publication details
- Journal / source
- ESAIM Control Optimisation and Calculus of Variations
- Volume
- 32
- Pages
- 63–63
- Publication date
- 1 January 2026
- Language
- EN