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Stress intensity factors by enriched mixed finite elements
Author(s) -
Heyliger P. R.,
Kriz R. D.
Publication year - 1989
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.1620280615
Subject(s) - stress intensity factor , finite element method , displacement (psychology) , displacement field , representation (politics) , stress (linguistics) , mixed finite element method , stress field , extended finite element method , mathematics , fracture mechanics , mathematical analysis , polynomial , intensity (physics) , structural engineering , physics , engineering , optics , psychology , linguistics , philosophy , politics , political science , law , psychotherapist
An enriched finite element model for linear elastic fracture mechanics is developed for a mixed variational statement. The independent approximations for the displacement and stress components are enriched by adding the near‐field analytic expressions for a cracked body to the polynomial approximations of a conventional element. This allows for an accurate representation of the stress and displacement fields near the crack tip and also results in the direct calculation of the appropriate stress intensity factors. The accuracy of this formulation is demonstrated through several numerical examples.