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Estimating stress intensity factors with singular components of the total finite element solution
Author(s) -
Staab G. H.
Publication year - 1982
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.1620180710
Subject(s) - stress intensity factor , displacement (psychology) , finite element method , mathematics , stress (linguistics) , element (criminal law) , singular solution , mathematical analysis , geometry , structural engineering , engineering , psychology , linguistics , philosophy , political science , law , psychotherapist
Displacement formulated singular elements are compared to isoparametric quarter‐node elements. The total stress and displacement solution for each element is decomposed into singular and regular components for evaluating stress intensity factors. Specific relationships between nodal displacements and the singular component of stress are presented for the isoparametric element at selected locations within the element. Numerical results for K I and K II in the slant crack problem are presented. The singular components are shown to produce superior results when considering crack opening displacements.