A free boundary approach to the quasistatic evolution of debonding models
Abstract
The mechanical process of progressively debonding an adhesive membrane from a substrate is described as a quasistatic variational evolution of sets and herein investigated. Existence of energetic solutions, based on global minimizers of a suitable functional together with an energy balance, is obtained within the natural class of open sets, improving and simplifying previous results known in literature. The proposed approach relies on an equivalent reformulation of the model in terms of the celebrated one-phase Bernoulli free boundary problem. This point of view allows performing the Minimizing Movements scheme in spaces of functions instead of the more complicated framework of sets. Nevertheless, in order to encompass irreversibility of the phenomenon, it remains crucial to keep track of the debonded region at each discrete time-step, thus actually resulting in a coupled algorithm.
Fields of Study & Subjects
Structural Analysis and Optimization
Advanced Materials and Mechanics
Elasticity and Material Modeling
Publication details
- Journal / source
- Mathematical Models and Methods in Applied Sciences
- Publisher
- World Scientific Pub Co Pte Ltd
- Volume
- 36
- Issue
- 10
- Pages
- 2253–2293
- Publication date
- 30 April 2026
- Language
- EN