An improved EAS brick element for finite deformation

authored by: Jože Korelc, Urša Šolinc, Peter Wriggers
Abstract: A new enhanced assumed strain brick element for finite deformations in finite elasticity and plasticity is presented. The element is based on an expansion of shape function derivatives using Taylor series and an extended set of orthogonality conditions that have to be satisfied for an hourglassing free EAS formulation. Such approach has not been applied so far in the context of large deformation threedimensional problems. It leads to a surprisinglywell- behaved locking and hourglassing free element formulation. Major advantage of the new element is its shear locking free performance in the limit of very thin elements, thus it is applicable to shell type problems. Crucial for the derivation of the residual and consistent tangent matrix of the element is the automation of the implementation by automatic code generation.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): University of Ljubljana
Type: Article
Journal: Computational mechanics
Volume: 46
Pages: 641-659
No. of pages: 19
ISSN: 0178-7675
Publication date: 06.06.2010
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Computational Mechanics, Ocean Engineering, Mechanical Engineering, Computational Theory and Mathematics, Computational Mathematics, Applied Mathematics
Electronic version(s): https://doi.org/10.1007/s00466-010-0506-0 (Access: Unknown)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{668acdc74dc84613a20c168a8b6d6cc7,
title = "An improved EAS brick element for finite deformation",
abstract = "A new enhanced assumed strain brick element for finite deformations in finite elasticity and plasticity is presented. The element is based on an expansion of shape function derivatives using Taylor series and an extended set of orthogonality conditions that have to be satisfied for an hourglassing free EAS formulation. Such approach has not been applied so far in the context of large deformation threedimensional problems. It leads to a surprisinglywell- behaved locking and hourglassing free element formulation. Major advantage of the new element is its shear locking free performance in the limit of very thin elements, thus it is applicable to shell type problems. Crucial for the derivation of the residual and consistent tangent matrix of the element is the automation of the implementation by automatic code generation.",
keywords = "Enhanced strain, Finite deformation, Finite element, Shear deformation",
author = "Jo{\v z}e Korelc and Ur{\v s}a {\v S}olinc and Peter Wriggers",
year = "2010",
month = jun,
day = "6",
doi = "10.1007/s00466-010-0506-0",
language = "English",
volume = "46",
pages = "641--659",
journal = "Computational mechanics",
issn = "0178-7675",
publisher = "Springer Verlag",
number = "4",
}