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Three‐dimensional simulation of crack with curved front with direct estimation of stress intensity factors
Author(s) -
Langlois C. Roux,
Gravouil A.,
Baietto M.C.,
Réthoré J.
Publication year - 2014
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.4811
Subject(s) - stress intensity factor , finite element method , planar , robustness (evolution) , stress (linguistics) , structural engineering , series (stratigraphy) , front (military) , extension (predicate logic) , mathematical analysis , mathematics , computer science , engineering , geology , mechanical engineering , paleontology , biochemistry , chemistry , linguistics , computer graphics (images) , philosophy , gene , programming language
Summary 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. Copyright © 2014 John Wiley & Sons, Ltd.