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| A large-strain nearly incompressible implicit 4-node tetrahedron |
| Received:September 27, 2016 Revised:December 05, 2016 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201706003 |
| KeyWord:implicit finite element tetrahedron element large strain nearly incompressible volumetric locking |
| Author | Institution |
| 肖桂仲 |
北京应用物理与计算数学研究所 中物院高性能数值模拟软件中心, 北京 |
| 陈成军 |
中国工程物理研究院总体工程研究所, 绵阳 |
| 肖世富 |
中国工程物理研究院总体工程研究所, 绵阳 |
| 田荣 |
北京应用物理与计算数学研究所 中物院高性能数值模拟软件中心, 北京 |
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| Abstract: |
| This paper presents a new 4-node tetrahedral element for large-strain nearly incompressible implicit applications.The proposed element is based on the work of Bonet and Burton (1998).The contribution of the paper is the derivation of the exact consistent tangent matrix,the key component of an implicit finite element,by accurate directional derivatives of the averaged element pressure with regard to displacement increment.In contrast to the standard linear tetrahedron element,there is a coupling among degrees of freedom (DOFs) of neighboring elements.This leads to an increased number of nonzero entries in the global tangent matrix,but it has no effect on the total number of DOFs and hence the cost in solving linear equations.Numerical tests were carried out to compare the element with its two popular counterparts,the reduced integrated 8-node hexahedron element and the standard 4-node tetrahedron element.It has been demonstrated that the proposed tetrahedron can avoid volumetric locking and show comparable performance with the afore-mentioned hexahedron element in all the examples tested. |