QUASISTATIC GROWTH OF CAVITIES AND CRACKS IN THE PLANE

Bresciani M, Friedrich M (2025)

Publication Type: Journal article

Publication year: 2025

Journal

SIAM Journal on Mathematical Analysis Society for Industrial and Applied Mathematics

Book Volume: 57

Pages Range: 2287-2315

Journal Issue: 3

DOI: 10.1137/24M1670007

Abstract

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 number of connected components of the cracks.

Authors with CRIS profile

Marco Bresciani Department Mathematik Manuel Friedrich Professur für Angewandte Mathematik (Angewandte Analysis)

How to cite

APA:

Bresciani, M., & Friedrich, M. (2025). QUASISTATIC GROWTH OF CAVITIES AND CRACKS IN THE PLANE. SIAM Journal on Mathematical Analysis, 57(3), 2287-2315. https://doi.org/10.1137/24M1670007

MLA:

Bresciani, Marco, and Manuel Friedrich. "QUASISTATIC GROWTH OF CAVITIES AND CRACKS IN THE PLANE." SIAM Journal on Mathematical Analysis 57.3 (2025): 2287-2315.

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