From cohesive to brittle debonding: the quasistatic framework
Analysis of PDEs
2025-12-16 v1
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.
Cite
@article{arxiv.2512.12261,
title = {From cohesive to brittle debonding: the quasistatic framework},
author = {Filippo Riva},
journal= {arXiv preprint arXiv:2512.12261},
year = {2025}
}