New locking-free brick element technique for large deformation problems in elasticity

authored by: S. Reese, Peter Wriggers, B. D. Reddy
Abstract: In the present contribution, an innovative brick element formulation for large deformation problems in finite elasticity is discussed. The new formulation can be considered as a reduced integration plus stabilization concept with the stabilization factors being computed on the basis of the enhanced strain method. Such an idea has not been applied yet in the context of large deformation 3D problems and leads to a surprisingly well-behaved locking-free element formulation. Crucial to the method is the notion of the so-called equivalent parallelepiped. The major advantages of this element technology are its simplicity and robustness. Since the element quantities are evaluated only in the center of the element, the approach is also very efficient from the numerical point of view.
Organisation(s): Institute of Mechanics and Computational Mechanics
External Organisation(s): University of Cape Town (UCT)
Type: Article
Journal: Computers and Structures
Volume: 75
Pages: 291-304
No. of pages: 14
ISSN: 0045-7949
Publication date: 25.02.2000
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Civil and Structural Engineering, Modelling and Simulation, General Materials Science, Mechanical Engineering, Computer Science Applications
Electronic version(s): https://doi.org/10.1016/S0045-7949(99)00137-6 (Access: Unknown)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{d2a5a99197554bd2a6422a0125b03849,
title = "New locking-free brick element technique for large deformation problems in elasticity",
abstract = "In the present contribution, an innovative brick element formulation for large deformation problems in finite elasticity is discussed. The new formulation can be considered as a reduced integration plus stabilization concept with the stabilization factors being computed on the basis of the enhanced strain method. Such an idea has not been applied yet in the context of large deformation 3D problems and leads to a surprisingly well-behaved locking-free element formulation. Crucial to the method is the notion of the so-called equivalent parallelepiped. The major advantages of this element technology are its simplicity and robustness. Since the element quantities are evaluated only in the center of the element, the approach is also very efficient from the numerical point of view.",
author = "S. Reese and Peter Wriggers and Reddy, {B. D.}",
year = "2000",
month = feb,
day = "25",
doi = "10.1016/S0045-7949(99)00137-6",
language = "English",
volume = "75",
pages = "291--304",
journal = "Computers and Structures",
issn = "0045-7949",
publisher = "Elsevier Ltd.",
number = "3",
}