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On the convergence of 3D free discontinuity models in variational fracture

Fraternali, Fernando and Negri, Matteo and Ortiz, Michael (2010) On the convergence of 3D free discontinuity models in variational fracture. International Journal of Fracture, 166 (1-2). pp. 3-11. ISSN 0376-9429. http://resolver.caltech.edu/CaltechAUTHORS:20101011-101117330

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1007/s10704-010-9462-0DOIArticle
http://www.springerlink.com/content/tx01n1637711636g/PublisherArticle
http://rdcu.be/qWCXPublisherFree ReadCube access
ORCID:
AuthorORCID
Fraternali, Fernando0000-0002-7549-6405
Additional Information:© 2010 Springer Science+Business Media B.V. Received: 18 December 2009; Accepted: 10 February 2010; Published online: 4 March 2010. F. F. greatly acknowledges the support of the Italian MIUR through the FARB 2009 grant “Mechanics of Innovative Multiscale Composite Systems”, and the Laboratory for Parallel Computing (LAPC) of the University Centre for Risk Prediction and Prevention (CUGRI) between the University of Salerno and the University of Naples “Federico II”.M.N. acknowledges the support of the Italian CNR through the CNRShort Term Mobility Program. F.F. and M.N. thank the Graduate Aerospace Laboratories at Caltech (GALCIT) for the hospitality during their visits.
Group:GALCIT
Funders:
Funding AgencyGrant Number
Ministero dell'Istruzione, dell'Università e della Ricerca (MIUR)UNSPECIFIED
University Centre for Risk Prediction and Prevention (CUGRI) UNSPECIFIED
Consiglio Nazionale delle Ricerche (CNR)UNSPECIFIED
Subject Keywords:Variational fracture; Free discontinuity models; Γ -Convergence; r-Adaption; Configurational forces
Record Number:CaltechAUTHORS:20101011-101117330
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20101011-101117330
Official Citation:Fraternali, F., M. Negri, et al. (2010). "On the convergence of 3D free discontinuity models in variational fracture." International Journal of Fracture 166(1): 3-11.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:20365
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:23 Nov 2010 19:36
Last Modified:10 Apr 2017 20:50

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