Volume 2, Issue 3
Accurate 8-Node Hybrid Hexahedral Elements with Energy-Compatible Stress Modes

Shiquan Zhang and Xiaoping Xie

10.4208/aamm.09-m0959

Adv. Appl. Math. Mech., 2 (2010), pp. 333-354.

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  • 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.

  • History

Published online: 2010-03

  • AMS Subject Headings

65N12, 65N30

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