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Quadrilateral element with semi‐radial singularity mapping
Author(s) -
Okabe Masayuki
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.1620170707
Subject(s) - quadrilateral , singularity , gravitational singularity , mathematics , mathematical analysis , geometry , element (criminal law) , finite element method , singular point of a curve , radial stress , stress field , structural engineering , engineering , law , political science
The singularity mapping elementology based on the constant and semi‐radial field conditions is presented in an originally quadrilateral finite element. With the complete evaluations of singularities in the stress and strain as well as of the strain energy finiteness, it is demonstrated that this singularity element family is highly versatile. Differences and some identities between the semi‐radial mapping and the so‐called quarter‐point mapping are also examined.