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Mesh‐independent p ‐orthotropic enrichment using the generalized finite element method
Author(s) -
Duarte C. A.,
Babuška I.
Publication year - 2002
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.557
Subject(s) - orthotropic material , finite element method , isotropy , polygon mesh , simple (philosophy) , mathematics , tetrahedron , mathematical analysis , boundary (topology) , element (criminal law) , geometry , structural engineering , engineering , physics , philosophy , epistemology , quantum mechanics , political science , law
This paper is aimed at presenting a simple yet effective procedure to implement a mesh‐independent p ‐orthotropic enrichment in the generalized finite element method. The procedure is based on the observation that shape functions used in the GFEM can be constructed from polynomials defined in any co‐ordinate system regardless of the underlying mesh or type of element used. Numerical examples where the solution possesses boundary or internal layers are solved on coarse tetrahedral meshes with isotropic and the proposed p ‐orthotropic enrichment. Copyright © 2002 John Wiley & Sons, Ltd.