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Hellinger–Reissner principles for plate and shell finite elements
Author(s) -
Morley L. S. D.
Publication year - 1984
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.1620200414
Subject(s) - shell (structure) , parametric statistics , finite element method , variational principle , representation (politics) , mathematics , hellinger distance , stress (linguistics) , shell theory , polynomial , mathematical analysis , calculus (dental) , structural engineering , engineering , mechanical engineering , linguistics , statistics , philosophy , politics , political science , law , medicine , dentistry
The Hellinger–Reissner generalized variational principle is used to deduce further principles directed especially towards formulation of high integrity finite elements for plates and curved shells in polynomial parametric representation. Assumed stresses in these principles are derived from displacements and supplemented with stresses derived from stress functions.