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- Title
On the convergence of 3D free discontinuity models in variational fracture.
- Authors
Fraternali, Fernando; Negri, Matteo; Ortiz, Michael
- Abstract
Free discontinuity problems arising in the variational theory for fracture mechanics are considered. A Γ -convergence proof for an r-adaptive 3D finite element discretization is given in the case of a brittle material. The optimal displacement field, crack pattern and mesh geometry are obtained through a variational procedure that encompasses both mechanical and configurational forces. Possible extensions to cohesive fracture and quasi-static evolutions are discussed.
- Subjects
FRACTURE mechanics; DEFORMATIONS (Mechanics); BRITTLENESS; MATERIAL fatigue; STRENGTH of materials; STRUCTURAL failures
- Publication
International Journal of Fracture, 2010, Vol 166, Issue 1/2, p3
- ISSN
0376-9429
- Publication type
Article
- DOI
10.1007/s10704-010-9462-0