Inf-sup testing of some three-dimensional low-order finite elements for is the analysis of solids

被引：7

作者：

Ko, Yeongbin ^{[1
]}

Bathe, Klaus-Jurgen ^{[2
]}

机构：

[1] ADINA R&D Inc, 71 Elton Ave, Watertown, MA 02472 USA

[2] MIT, Dept Mech Engn, Cambridge, MA 02139 USA

来源：

COMPUTERS & STRUCTURES | 2018年 / 209卷

关键词：

Stability and accuracy of finite element solutions; lnf-sup tests; Volumetric locking; Shear locking; Membrane locking; pinching locking; FORMULATIONS; STABILITY;

D O I：

10.1016/j.compstruc.2018.07.006

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We assess some 8-node hexahedral three-dimensional (3D) solid elements using inf-sup tests focusing on locking behavior in volumetric, shear, membrane, and pinching actions. Inf-sup tests have been widely used to see whether a finite element discretization is effective. In this paper we use a rather simple approach to inf-sup testing for the coercivity of the discretization to obtain insight into the convergence behavior of the standard displacement-based element, the 8-node element with incompatible modes, and the 3D-MITC8 element, and include geometric nonlinear analysis. We see that the 3D-MITC8 element performs better than the incompatible modes element in plate bending problems and can also be used with a small modification in the solution of thick or moderately thick curved shell structures. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：1 / 13

页数：13

共 27 条

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[2]

2-E

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