On the convergence of 3D free discontinuity models in variational fracture
نویسندگان
چکیده
Free discontinuity problems arising in the variational theory for fracture mechanics are considered.AΓ -convergence proof for an r-adaptive 3Dfinite 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.
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