Chapter
Fracture
Abstract
These notes begin with a review of the mainstream theory of brittle fracture, as it has emerged from the works of Griffith and Irwin. We propose a re-formulation of that theory within the confines of the calculus of variations, focussing on crack path prediction. We then illustrate the various possible minimality criteria in a simple 1d-case as well as in a tearing experiment and discuss in some details the only complete mathematical …
Authors
Bourdin B; Francfort GA
Book title
Variational Models and Methods in Solid and Fluid Mechanics
Series
CISM International Centre for Mechanical Sciences
Volume
535
Pagination
pp. 107-161
Publisher
Springer Nature
Publication Date
2011
DOI
10.1007/978-3-7091-0983-0_3