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Development and applications of two singular points finite elements
Author(s) -
Dutta B. K.,
Maiti S. K.,
Kakodkar A.
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.1620280614
Subject(s) - quadrilateral , gravitational singularity , finite element method , variable (mathematics) , mathematics , element (criminal law) , order (exchange) , geometry , mathematical analysis , structural engineering , algorithm , engineering , finance , political science , law , economics
An element formulation is suggested to obtain variable order singularities simultaneously at the two neighbouring corner nodes of a 4‐noded quadrilateral. The element is useful for modelling a kinked crack with small kink length. The accuracy is good and this is obtained at a substantially reduced computational cost. Case studies are presented to illustrate the usefulness and the accuracy obtainable.

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