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

International Journal of Fracture Mechanics - Tập 166 - Trang 3-11 - 2010
Fernando Fraternali1, Matteo Negri2, Michael Ortiz3
1Department of Civil Engineering, University of Salerno, Fisciano, Salerno, Italy
2Department of Mathematics, University of Pavia, Pavia, Italy
3Division of Engineering and Applied Science, California Institute of Technology, Pasadena, USA

Tóm tắt

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.

Tài liệu tham khảo

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