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A novel approach for devising higher‐order hybrid elements
Author(s) -
Sze K. Y.
Publication year - 1993
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.1620361907
Subject(s) - element (criminal law) , order (exchange) , constant (computer programming) , finite element method , displacement (psychology) , stiffness matrix , matrix (chemical analysis) , mathematics , stiffness , consistency (knowledge bases) , mathematical optimization , computer science , structural engineering , geometry , engineering , materials science , psychology , finance , political science , law , economics , composite material , psychotherapist , programming language
This paper presents an efficient way to devise higher‐order hybrid elements by generalizing the admissible matrix formulation recently proposed by the author. The assumed stress or strain is first decomposed into the constant, lower‐ and higher‐order modes. In the absence of any higher‐order modes, the resulting hybrid element would be identical to the corresponding sub‐integrated displacement element. By a natural and straightforward method of orthogonalizing the higher‐order modes with respect to the constant and lower‐order modes, the element stiffness can be partitioned into a lower‐ and a higher‐order matrix. With further refinements, the method devised can readily be applied to a number of higher‐order hybrid elements with enhanced finite element consistency and computational efficiency.