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Crack-Tip Singularity Growth Modeling without Remeshing


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DOI: https://doi.org/10.15866/ireme.v10i1.6844

Abstract


On the basis of fracture mechanics, a numerical study has been considered in order to model the crack growth without re-meshing. Firstly, we have carried out a numerical comparative investigation on the finite elements for capturing crack-tip singularity. The aim is to numerically assess the values of the stress intensity factors by using different crack-tip finite elements (QPE, DQPE and IQPE). Secondly, we display a new numerical scheme to model the crack propagation without re-meshing. The fundamental idea is to couple the level set method (LSM) with several kinds of singular finite elements to solve the cracks problem: the special elements are employed to evaluate the crack-tip displacement fields, whereas the level sets are utilized to represent the crack location. By the end, a physical problem of crack growth simulations is supplied to show the robustness and versatility of the crack-tip finite element modelling.
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Keywords


Cracks; Singularity; Stress Intensity Factor; X-FEM; LSM

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References


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