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A finite element approximation of the Griffith’s model in fracture mechanics

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Summary.

The Griffith model for the mechanics of fractures in brittle materials is consider in the weak formulation of SBD spaces. We suggest an approximation, in the sense of Γ−convergence, by a sequence of discrete functionals defined on finite elements spaces over structured and adaptive triangulations. The quasi-static evolution for boundary value problems is also taken into account and some numerical results are shown.

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  1. Dipartimento di matematica, Università degli Studi di Pavia, Via Ferrata 1, 27100, Pavia, Italy

    Matteo Negri

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  1. Matteo Negri
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Correspondence to Matteo Negri.

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Mathematics Subject Classification (2000): 65N30

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Negri, M. A finite element approximation of the Griffith’s model in fracture mechanics. Numer. Math. 95, 653–687 (2003). https://doi.org/10.1007/s00211-003-0456-y

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  • DOI: https://doi.org/10.1007/s00211-003-0456-y

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