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A Hybrid-High Order Method for Fracture Modelling
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DOI：10.1002/nme.70374.png)
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Abstract
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In this work we introduce a new Hybrid High-Order method for the numerical simulation of fracture propagation based on phase-field models. The proposed method: supports general meshes made of polygonal/polyhedral elements, which provides great flexibility in mesh design and adaptation; can accommodate large variations of both the displacement and damage variables thanks to the use of fully discontinuous spaces; delivers continuous (degradation-weighted) tractions at interfaces. The resolution of the corresponding algebraic problem is based on a staggered time stepping scheme which takes advantage of static condensation for each subproblem. We provide extensive numerical validation of the method on classical two-dimensional fracture propagation problems, including a comparison with a more standard finite element scheme.
Keywords:
fracture modelling
Hybrid High-Order methods
phase-field model
polyhedral methods
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