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Generalization of selective integration procedures to anisotropic and nonlinear media
Author(s) -
Hughes Thomas J. R.
Publication year - 1980
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.1620150914
Subject(s) - generalization , nonlinear system , anisotropy , finite element method , compressibility , mathematics , calculus (dental) , mathematical analysis , computer science , physics , engineering , structural engineering , mechanics , optics , medicine , dentistry , quantum mechanics
A new finite element procedure is introduced for the analysis of nearly‐incompressible media. The approach may be simply implemented by a small change of the standard technique, and is applicable to arbitrary anisotropic and/or nonlinear media. The procedure is shown to specialize to the selective integration and mean‐dilatation formulations under appropriate hypothesis.