A material model for rubber-like polymers exhibiting plastic deformation

Computational aspects and a comparison with experimental results

authored by: S. Reese, P. Wriggers
Abstract: A finite element formulation is derived, which accounts for materials exhibiting plastic flow after large elastic deformation. Such material behaviour can be observed, for example, in certain kinds of rubber useful in practical situations due to their high tensile strength and resistance to aging. For these materials, then, both the elastic and plastic behaviour must be described by a non-linear material model. Because of this, the return mapping algorithm used in this work requires the solution of several non-linear equations in every Gauss point, which is carried out here via Newton iteration. The fitting of the material model to experimental results demonstrates the necessity of incoporating finite elasticity into the material model in order to successfully account for the observed material behaviour. The conseqence of using an oversimplified elastic material model is demonstrated by means of examples.
External Organisation(s): Technische Universität Darmstadt
Type: Article
Journal: Computer Methods in Applied Mechanics and Engineering
Volume: 148
Pages: 279-298
No. of pages: 20
ISSN: 0045-7825
Publication date: 05.09.1997
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Computational Mechanics, Mechanics of Materials, Mechanical Engineering, General Physics and Astronomy, Computer Science Applications
Electronic version(s): https://doi.org/10.1016/S0045-7825(97)00034-0 (Access: Unknown)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{2ddd86325ff64904bca09b6471e9b5f9,
title = "A material model for rubber-like polymers exhibiting plastic deformation: Computational aspects and a comparison with experimental results",
abstract = "A finite element formulation is derived, which accounts for materials exhibiting plastic flow after large elastic deformation. Such material behaviour can be observed, for example, in certain kinds of rubber useful in practical situations due to their high tensile strength and resistance to aging. For these materials, then, both the elastic and plastic behaviour must be described by a non-linear material model. Because of this, the return mapping algorithm used in this work requires the solution of several non-linear equations in every Gauss point, which is carried out here via Newton iteration. The fitting of the material model to experimental results demonstrates the necessity of incoporating finite elasticity into the material model in order to successfully account for the observed material behaviour. The conseqence of using an oversimplified elastic material model is demonstrated by means of examples.",
author = "S. Reese and P. Wriggers",
year = "1997",
month = sep,
day = "5",
doi = "10.1016/S0045-7825(97)00034-0",
language = "English",
volume = "148",
pages = "279--298",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
publisher = "Elsevier",
number = "3-4",
}