A three-dimensional finite element for gradient elasticity based on a mixed-type formulation

被引：29
|
作者：
Zybell, L. [1 ]
Muehlich, U. [1 ]
Kuna, M. [1 ]
Zhang, Z. L. [2 ]
机构：
[1] TU Bergakad Freiberg, Inst Mech & Fluid Dynam, D-09596 Freiberg, Germany
[2] Norwegian Univ Sci & Technol NTNU, Dept Struct Engn, N-7491 Trondheim, Norway
来源：
COMPUTATIONAL MATERIALS SCIENCE | 2012年 / 52卷 / 01期
关键词：
Gradient elasticity; Finite elements; Mixed-type formulation; DISCRETIZATION;
D O I：
10.1016/j.commatsci.2011.02.026
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper presents a novel three-dimensional finite element for gradient elasticity. The new finite element BR153L9 is a straightforward extension of the two-dimensional element QU34L4 developed by Shu et al. (1999) [1], which is based on a mixed-type formulation. Within this paper the derivation of the mixed-type finite element scheme is reviewed and details of the implementation are given. Finally, numerical results of an extended patch test and a benchmark test with the three-dimensional finite element are presented in order to validate the formulation and prove the convergence. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：268 / 273
页数：6
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