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Three‐dimensional 8‐node and 20‐node refined hybrid isoparametric elements
Author(s) -
Chen Wanji,
Cheung Y. K.
Publication year - 1992
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.1620350909
Subject(s) - node (physics) , mathematics , constraint (computer aided design) , finite element method , element (criminal law) , displacement (psychology) , distortion (music) , topology (electrical circuits) , mathematical optimization , algorithm , geometry , computer science , structural engineering , engineering , combinatorics , psychology , amplifier , computer network , bandwidth (computing) , political science , law , psychotherapist
In this paper a new hybrid variational principle with independent variables of strain, stress and displacement and with a weaker constraint condition of interelement continuity is proposed. Based on this functional, a general formulation of a refined hybrid isoparametric element method has been established by the orthogonal approach. The present formulation is a rational approach to be adopted for deriving high‐performance three‐dimensional hybrid isoparametric elements even up to the higher‐order 20‐node element. Several numerical examples are presented to show that the present elements RGH 8 (8‐node) and RGH 20 (20‐node) have high accuracy, excellent computational efficiency and less sensitivity to mesh distortion.