1. Phase field model for mode III crack growth in two dimensional elasticity
- Creator:
- Takaishi, Takeshi and Masato
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- crack growth, phase field model, and numerical simulation
- Language:
- English
- Description:
- 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 ϵ>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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public