Fracture and Structural Integrity e-ISSN 1971-8993 Open access
Articoli Vol. 4, No. 12 (2010)

Numerical experiments in 2D variational fracture

Author and affiliation details
  • M. Angelillo Corresponding author Università di Salerno, Dipartimento di Ingegneria Civile
  • A. Fortunato Università di Salerno, Dipartimento di Ingegneria Civile.
  • E. Babilio Università di Napoli, Dipartimento di Costruzioni
  • M. Lippiello Università di Napoli, Dipartimento di Costruzioni
  • L. Cardamone SISSA Trieste
DOI
10.3221/IGF-ESIS.12.07
Pages
pages 63-78
Published inVol. 4, No. 12 (2010)Go to the issue

Abstract

In the present work we present some results of numerical experiments obtained with a variational
model for quasi-static Griffith-type brittle fracture. Essentially the analysis is based on a recent formulation by
Francfort and Marigo the main difference being the fact that we rely on local rather than on global
minimization. Propagation of fracture is obtained by minimizing, in a step by step process, a form of energy
that is the sum of bulk and interface terms. To solve the problem numerically we adopt discontinuous finite
elements based on variable meshes and search for the minima of the energy through descent methods. We use a
sort of mesh dependent relaxation of the interface energy to get out of small energy wells. The relaxation
consists in the adoption of a carefully tailored cohesive type interface energy, tending to the Griffith limit as the
mesh size tends to zero.

Article history

  1. ReceivedUntil the next stage: 0 days
  2. Accepted

How to cite

APA

Angelillo, M., Fortunato, A., Babilio, E., Lippiello, M., & Cardamone, L. (2010). Numerical experiments in 2D variational fracture. Fracture and Structural Integrity, 4(12), pages 63–78. https://doi.org/10.3221/IGF-ESIS.12.07

IEEE

M. Angelillo, A. Fortunato, E. Babilio, M. Lippiello, and L. Cardamone, “Numerical experiments in 2D variational fracture,” Fracture and Structural Integrity, vol. 4, no. 12, pp. pages 63–78, 2010, doi: 10.3221/IGF-ESIS.12.07.

MLA

Angelillo, M., et al. “Numerical experiments in 2D variational fracture.” Fracture and Structural Integrity, vol. 4, no. 12, 2010, pp. pages 63–78. https://doi.org/10.3221/IGF-ESIS.12.07.

Chicago

Angelillo, M., A. Fortunato, E. Babilio, M. Lippiello, and L. Cardamone. 2010. “Numerical experiments in 2D variational fracture.” Fracture and Structural Integrity 4 (12): pages 63–78. https://doi.org/10.3221/IGF-ESIS.12.07.

Harvard

Angelillo, M., Fortunato, A., Babilio, E., Lippiello, M. and Cardamone, L. (2010) ‘Numerical experiments in 2D variational fracture’, Fracture and Structural Integrity, 4(12), pp. pages 63–78. doi: 10.3221/IGF-ESIS.12.07.

Vancouver

Angelillo M, Fortunato A, Babilio E, Lippiello M, Cardamone L. Numerical experiments in 2D variational fracture. Fracture and Structural Integrity. 2010;4(12):pages 63-78. doi:10.3221/IGF-ESIS.12.07

BibTeX

@article{angelillo2010, author = {Angelillo, M. and Fortunato, A. and Babilio, E. and Lippiello, M. and Cardamone, L.}, title = {Numerical experiments in 2D variational fracture}, journal = {Fracture and Structural Integrity}, year = {2010}, volume = {4}, number = {12}, pages = {pages 63--78}, doi = {10.3221/IGF-ESIS.12.07}, url = {https://doi.org/10.3221/IGF-ESIS.12.07}, issn = {1971-8993} }

RIS

TY - JOUR AU - Angelillo, M. AU - Fortunato, A. AU - Babilio, E. AU - Lippiello, M. AU - Cardamone, L. TI - Numerical experiments in 2D variational fracture JO - Fracture and Structural Integrity T2 - Fracture and Structural Integrity PY - 2010 VL - 4 IS - 12 SP - pages 63 EP - 78 DO - 10.3221/IGF-ESIS.12.07 UR - https://doi.org/10.3221/IGF-ESIS.12.07 SN - 1971-8993 ER -

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