CaltechAUTHORS
Published November 2010 | Version public
Journal Article Metadata-only

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

Creators

  • 1. ROR icon University of Salerno
  • 2. ROR icon University of Pavia
  • 3. ROR icon California Institute of Technology

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.

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.

Additional details

Identifiers

Eprint ID
20365
DOI
10.1007/s10704-010-9462-0
Resolver ID
CaltechAUTHORS:20101011-101117330

Related works

Describes
10.1007/s10704-010-9462-0 (DOI)

Funding

Ministero dell'Istruzione, dell'Università e della Ricerca (MIUR)
University Centre for Risk Prediction and Prevention (CUGRI)
Consiglio Nazionale delle Ricerche (CNR)

Dates

Created
2010-11-23
Created from EPrint's datestamp field
Updated
2021-11-08
Created from EPrint's last_modified field

Caltech Custom Metadata

Caltech groups
GALCIT