Preprint
Inserted: 16 dec 2025
Last Updated: 16 dec 2025
Year: 2025
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.
Keywords: energetic solutions, brittle debonding, cohesive debonding, quasistatic evolutions
Download: