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The variational approach to fracture

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The strength of this approach is to provide a rigorous and united framework accounting for new cracks nucleation, existing cracks activation, and full crack path determination including complex behavior such as crack branching, kinking, and interaction between multiple cracks without any a priori knowledge or hypothesis. Of course, the lack of a priori hypothesis on cracks geometry is at the cost of numerical complexity.

We present a regularized phase field approach where fractures are represented by a smooth function.


This approach makes handling large and complex fracture networks very simple yet discrete fracture properties such as crack aperture can be recovered from the phase field. We compare variational fracture simulation results against several analytical solutions and also demonstrate the approach's ability to predict complex fracture systems with example of multiple interacting fractures.

Discrete Volume Method. A variational approach for brittle fracture

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