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Continuous stress fields by the finite element–difference method
Author(s) -
Cook Robert D.,
Huang Xianrui
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.1620220117
Subject(s) - finite element method , interpolation (computer graphics) , mathematics , stiffness matrix , stress (linguistics) , mixed finite element method , stress field , mathematical analysis , extended finite element method , matrix (chemical analysis) , stiffness , finite difference , computer science , structural engineering , engineering , materials science , animation , linguistics , philosophy , computer graphics (images) , composite material
Standard finite elements yield a stress field that is discontinuous across interelement boundaries. In this paper, results given by standard finite elements are postprocessed by an efficient iterative scheme that makes use of nodal strains, finite difference operations and interpolations that augment (and may differ from) the shape functions used to generate the element stiffness matrix. Various types of interpolation are considered. Each leads to a continuous stress field that is more accurate than the unprocessed stress field.