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Control of spurious mechanisms for 20‐node and transition sub‐integrated hexahedral elements
Author(s) -
Sze K. Y.
Publication year - 1994
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.1620371306
Subject(s) - hexahedron , spurious relationship , node (physics) , finite element method , matrix (chemical analysis) , displacement (psychology) , computer science , engineering , topology (electrical circuits) , structural engineering , materials science , psychology , electrical engineering , machine learning , composite material , psychotherapist
In this paper, control of spurious mechanisms for sub‐integrated 20‐node and transition hexahedral elements is devised by an assumed stress approach. The higher‐order stress modes for stabilizing the sub‐integrated elements are identified by examining the spurious mechanisms. With an admissible simplification of the flexibility matrix, row vectors of the leverage matrix can be used as stabilization vectors. Numerical examples for the stabilized 20‐node element are presented. Accuracy of the derived element is far better than the fully integrated displacement elements. Meanwhile, the former also consumes marginally less CPU time than the latter.