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‘Infinite domain’ elements
Author(s) -
Beer G.,
Meek J. L.
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.1620170104
Subject(s) - domain (mathematical analysis) , mathematics , mathematical analysis , finite element method , parametric statistics , fictitious domain method , boundary (topology) , geometry , boundary value problem , square (algebra) , stress (linguistics) , boundary element method , semi infinite , type (biology) , element (criminal law) , stress field , structural engineering , engineering , ecology , linguistics , statistics , philosophy , political science , law , biology
A parametric element is formulated which enables the economic modelling of ‘infinite domain’ type problmes. A typical problem is an opening in a stress field in an infinite medium, either in two or three dimensions. The strategy is to model around the opening with two or three layers of conventional isoparametric finite elements and surround these with a single layer of ‘infinite domain’ elements. Several sample problems has been analysed for circular, square and spherical openings in infinite media, and the results compared with either theoretical or boundary element solutions which include the ‘infinite’ boundary in their solution technique.