Seminario EDP UAM-ICMAT
Quasistatic growth of cavities and cracks in the plane
Ponente: Marco Bresciani (Friedrich-Alexander-Universität Erlangen-Nürnberg)Fecha: viernes 28 de noviembre de 2025 - 10:00Lugar: Aula 520, Módulo 17, Departamento de Matemáticas, UAM
Resumen:
We propose a model for the quasistatic growth of cavities and cracks in two-dimensional nonlinear elasticity. Cavities and cracks are modeled as discrete and compact subsets of a planar domain, respectively, and deformations are defined only outside of cracks. The model accounts for the irreversibility of both processes of cavitation and fracture, and it allows for the coalescence of cavities into cracks. Our main result shows the existence of quasistatic evolutions in the case of a finite number of cavities under an a priori bound on the connectivity of the cracks.
The talk is based on joint work with Manuel Friedrich (JKU Linz).
