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A new approach for the hybrid element method
Author(s) -
Chen Wanji,
Cheung Y. K.
Publication year - 1987
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.1620240907
Subject(s) - element (criminal law) , basis (linear algebra) , stress (linguistics) , structural engineering , finite element method , computer science , mathematics , topology (electrical circuits) , algorithm , geometry , engineering , combinatorics , linguistics , philosophy , political science , law
A new functional which forms the basis of an improved hybrid element formulation is proposed. The variables for the functional include stresses, strains and displacements, and the displacements and stresses are further decomposed into two parts respectively. The proposed new formulation appears to be particularly suitable for improving conforming models. Based on this formulation, a new four‐node plane hybrid element Q cs6 can be developed, and the conforming element Q 4 and the non‐conforming Wilson element Q 6 4and modified Wilson element Q m 6 can also be derived directly by this hybrid approach. It should be noted that more accurate stresses can be obtained from this element which utilizes the concept of two stress components.