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A quadrature rule for conforming quadratic crack tip elements
Author(s) -
Dunham Robert S.
Publication year - 1979
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.1620140211
Subject(s) - quadrature (astronomy) , quadratic equation , mathematics , mathematical analysis , node (physics) , gaussian quadrature , quadratic function , geometry , structural engineering , nyström method , engineering , physics , integral equation , optics
A simple quadrature rule that precisely integrates products of singular √ r and quadratic shape function gradients for a two‐dimensional six node triangle and a three‐dimensional fifteen node prism is derived.