Year: 2010
Author: Shiquan Zhang, Xiaoping Xie
Advances in Applied Mathematics and Mechanics, Vol. 2 (2010), Iss. 3 : pp. 333–354
Abstract
In this paper, an energy-compatibility condition is used for stress optimization in the derivation of new accurate 8-node hexahedral elements for three-dimensional elasticity. Equivalence of the proposed hybrid method to an enhanced strains method is established, which makes it easy to extend the method to general nonlinear problems. Numerical tests show that the resultant elements possess high accuracy at coarse meshes, are insensitive to mesh distortions and free from volume locking in the analysis of beams, plates and shells.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.09-m0959
Advances in Applied Mathematics and Mechanics, Vol. 2 (2010), Iss. 3 : pp. 333–354
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Finite element hybrid stress method Hellinger-Reissner principle locking.
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