Title
A three-dimensional finite element for gradient elasticity based on a mixed-type formulation A three-dimensional finite element for gradient elasticity based on a mixed-type formulation
Author
Faculty/Department
Faculty of Applied Engineering Sciences
Publication type
article
Publication
Amsterdam :Elsevier science bv ,
Subject
Physics
Source (journal)
Computational materials science
Source (book)
20th International Workshop on Computational Mechanics of Materials, (IWCMM 20), SEP 08-10, 2010, Loughborough Univ, Loughborough, ENGLAND
Volume/pages
52(2012) :1 , p. 268-273
ISSN
0927-0256
ISI
000297779700046
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Abstract
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.
E-info
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