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A new method for modelling cohesive cracks using finite elements. (English) Zbl 1013.74074
Summary: We present a model which allows the introduction of displacements jumps to conventional finite elements. The path of the discontinuity is completely independent of the mesh structure. Unlike so-called ‘embedded discontinuity’ models, which are based on incompatible strain modes, there is no restriction on the type of underlying solid finite element that can be used, and displacement jumps are continuous across element boundaries. Using finite element shape functions as partitions of unity, the displacement jump across a crack is represented by extra degrees of freedom at existing nodes. To model fracture in quasi-brittle heterogeneous materials, we use a cohesive crack model. Numerical simulations illustrate the ability of the method to objectively simulate fracture on unstructured meshes.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74R10 Brittle fracture
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