Journal article
An adaptive finite element approximation of a generalized Ambrosio-Tortorelli functional
- 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
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- Files:
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(Accepted manuscript, pdf, 838.0KB)
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- Publisher copy:
- 10.1142/S021820251350019X
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Authors
Bibliographic Details
- 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:
- 2013-02-18
- Acceptance date:
- 2012-10-04
- DOI:
- EISSN:
-
1793-6314
- ISSN:
-
0218-2025
- Source identifiers:
-
408085
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
pubs:408085
- UUID:
-
uuid:81c51687-297d-4c17-b335-8a99a42a399f
- Local pid:
- pubs:408085
- Deposit date:
- 2015-10-31
Terms of use
- Copyright holder:
- World Scientific Publishing Company
- Copyright date:
- 2013
- Rights statement:
- Copyright © World Scientific Publishing Company.
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from World Scientific at https://doi.org/10.1142/S021820251350019X
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