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Infinite ring elements
Author(s) -
Cheung Y. K.,
Guo Dajiang,
Tham L. G.,
Cao Zhiyuan
Publication year - 1986
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.1620230305
Subject(s) - interpolation (computer graphics) , element (criminal law) , stress (linguistics) , ring (chemistry) , function (biology) , series (stratigraphy) , mathematics , mathematical analysis , finite element method , stress functions , geometry , structural engineering , classical mechanics , physics , engineering , geology , motion (physics) , chemistry , law , organic chemistry , evolutionary biology , political science , biology , boundary value problem , paleontology , linguistics , philosophy
Seven infinite ring elements have been proposed for the stress analysis around opening in an infinite medium. All elements employ trigonometrical series for interpolation in the θ‐direction and decaying function in the r ‐direction. Numerical results indicate that all of them can converge for self‐equilibrating force systems, but only the element which was derived from the stress function can converge in the non‐self‐equilibrating external loads. The present study clearly indicates the close relationship between the semi‐analytical element and closed‐form solution.