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Singular finite element efficiency in estimating stress intensity factors
Author(s) -
Staab G. H.,
Sun C. T.
Publication year - 1981
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.1620170406
Subject(s) - stress intensity factor , finite element method , displacement (psychology) , mathematics , mode (computer interface) , stress (linguistics) , mathematical analysis , mixed finite element method , structural engineering , computer science , engineering , psychology , linguistics , philosophy , psychotherapist , operating system
Singular finite element displacement functions for linear elastic fracture mechanics applications are investigated. The displacement fields are expressed in terms of polynomials. These polynomials are expanded in varying degrees of r and θ in order to examine the effect of the number and type of terms on the solution to various problems with known solutions. Methods of estimating the stress intensity factors for mode 1 and mode 2 are presented. Numerical results evaluating the effect of various r and θ terms on the solutions are presented.