论文信息 - Phase Field Model for Mode III Crack Growth in Two Dimensional Elasticity

Phase Field Model for Mode III Crack Growth in Two Dimensional Elasticity

A phase field model for anti-plane shear crack growth in two dimensional isotropic elastic material is proposed. We introduce a phase field to represent the shape of the crack with a regularization parameter 2 > 0 and we approximate the Francfort–Marigo type energy using the idea of Ambrosio and Tortorelli. The phase field model is derived as a gradient flow of this regularized energy. We show several numerical examples of the crack growth computed with an adaptive mesh finite element method.

Masato Kimura | Takeshi Takaishi | T. Takaishi | M. Kimura

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