- Abstract:
- The Francfort-Marigo model of brittle fracture is posed in terms of the minimization of a highly irregular energy functional. A successful method for discretizing the model is to work with an approximation of the energy. In this work a generalized Ambrosio-Tortorelli functional is used. This leads to a bound-constrained minimization problem, which can be posed in terms of a variational inequality. We propose, analyze and implement an adaptive finite element method for computing (local) minimizers of the generalized functional.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Accepted Manuscript
- Files:
-
-
(pdf, 838.0KB)
-
- Publisher copy:
- 10.1142/S021820251350019X
-
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- Publisher:
- World Scientific Publisher's website
- Journal:
- Mathematical Models and Methods in Applied Sciences Journal website
- Volume:
- 23
- Issue:
- 9
- Pages:
- 1663-1697
- Publication date:
- 2013-01-01
- DOI:
- EISSN:
-
1793-6314
- ISSN:
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0218-2025
- URN:
-
uuid:81c51687-297d-4c17-b335-8a99a42a399f
- Source identifiers:
-
408085
- Local pid:
- pubs:408085
- Copyright holder:
- World Scientific Publishing Company
- Copyright date:
- 2013
- Notes:
- Copyright © World Scientific Publishing Company. Electronic version of an article published as Mathematical Models and Methods in Applied Sciences, 23, 9, 2013, 1663-1697, DOI: 10.1142/S021820251350019X © Copyright World Scientific Publishing Company http://www.worldscientific.com/worldscinet/m3as
Journal article
An adaptive finite element approximation of a generalized Ambrosio-Tortorelli functional
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