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Article Dans Une Revue International Journal for Numerical Methods in Engineering Année : 2015

Three-dimensional simulation of crack with curved front with direct estimation of stress intensity factors

Résumé

This paper consists of an extension of simulation with direct estimation of stress intensity factors to the three-dimensional case. Here, it combines X-FEM with localized multigrids and direct estimation of quantities of interest along the crack front (SIF, T-stress, etc.) based on crack tip asymptotic series expansion. In practice, a three-dimensional patch is introduced locally with a truncated basis of Williams series expansion and is linked in a weak sense with the X-FEM localized multigrids. Some examples (with available analytical solutions) illustrate the efficiency and the robustness of the method. These examples consider planar cracks with curved front, but the proposed method aims to apply to any continuously curved crack.
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Dates et versions

hal-01951564 , version 1 (10-05-2021)

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C. Roux Langlois, A. Gravouil, Marie-Christine Baietto, Julien Réthoré. Three-dimensional simulation of crack with curved front with direct estimation of stress intensity factors. International Journal for Numerical Methods in Engineering, 2015, 101 (8), pp.635-652. ⟨10.1002/nme.4811⟩. ⟨hal-01951564⟩
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