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Inclusion of hybrid deformation elements in the class of simple deformation models
Author(s) -
Wissmann Johannes W.,
Specht Bernhard
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.1620150606
Subject(s) - simple (philosophy) , discretization , deformation (meteorology) , displacement field , mathematics , representation (politics) , basis (linear algebra) , lagrange multiplier , variational principle , displacement (psychology) , field (mathematics) , extension (predicate logic) , class (philosophy) , mathematical analysis , geometry , computer science , mathematical optimization , structural engineering , finite element method , physics , pure mathematics , engineering , philosophy , artificial intelligence , law , psychotherapist , psychology , epistemology , political science , programming language , politics , meteorology
Hybrid elements for the representation of elastic media are based upon extended variational principle. In the discretization process the hybrid deformation model requires an expansion of the displacement field as well as of the Lagrange multipliers at the boundary. Using an extension of the common shape function concept, these hybrid elements can be reduced to the basis of the simple minimum principle of potential energy with only one expansion of the displacements. An application to plate elements is given and a discussion about some consequences of the approach.