Accurate 8-Node Hybrid Hexahedral Elements with Energy-Compatible Stress
Shiquan Zhang 1, Xiaoping Xie 1*1 School of Mathematics, Sichuan University, Chengdu 610064, China
Received 1 July 2009; Accepted (in revised version) 7 November 2009
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.AMS subject classifications: 65N12, 65N30
Key words: Finite element, hybrid stress method, Hellinger-Reissner principle, locking.
Email: email@example.com (S. Zhang), firstname.lastname@example.org( X. Xie)