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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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