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

Shiquan Zhang & Xiaoping Xie

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

Published online: 2010-03

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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.

  • Keywords

Finite element hybrid stress method Hellinger-Reissner principle locking

  • AMS Subject Headings

65N12 65N30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-2-333, author = {Shiquan Zhang and Xiaoping Xie}, title = {Accurate 8-Node Hybrid Hexahedral Elements with Energy-Compatible Stress Modes}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2010}, volume = {2}, number = {3}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.09-m0959}, url = {http://global-sci.org/intro/article_detail/aamm/8334.html} }
TY - JOUR T1 - Accurate 8-Node Hybrid Hexahedral Elements with Energy-Compatible Stress Modes AU - Shiquan Zhang & Xiaoping Xie JO - Advances in Applied Mathematics and Mechanics VL - 3 SP - 333 EP - 354 PY - 2010 DA - 2010/03 SN - 2 DO - http://doi.org/10.4208/aamm.09-m0959 UR - https://global-sci.org/intro/article_detail/aamm/8334.html KW - Finite element KW - hybrid stress method KW - Hellinger-Reissner principle KW - locking AB -

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.

Shiquan Zhang & Xiaoping Xie. (1970). Accurate 8-Node Hybrid Hexahedral Elements with Energy-Compatible Stress Modes. Advances in Applied Mathematics and Mechanics. 2 (3). 333-354. doi:10.4208/aamm.09-m0959
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