Interaction between different internal length scales for strain localisation analysis of single phase materials

authored by: H. W. Zhang, B. A. Schrefler, Peter Wriggers
Abstract: It is well known that both rate dependent and gradient-dependent constitutive models introduce internal length scales in dynamic initial value problems. As a result, numerical solutions of such initial value problems involving strain-softening no longer exhibit excessive mesh dependence. In this paper, the length scales included in a solid model which exhibits both above mentioned constitutive behaviours are discussed. The internal length scales derived from damping effects, which are typical for the viscoplastic models, and the wave length, obtained from the critical wave number for which the wave speed is not imaginary, are used together to give a prediction of the internal length scale of the combined model. The approach proposed here for prediction of the internal length scale is more general than commonly used procedures and permits to explain phenomena observed in viscoplastic and gradient dependent models. A one dimensional example is given to illustrate the theoretical findings.
Organisation(s): Institute of Mechanics and Computational Mechanics
External Organisation(s): Dalian University of Technology
University of Padova
Type: Article
Journal: Computational mechanics
Volume: 30
Pages: 212-219
No. of pages: 8
ISSN: 0178-7675
Publication date: 02.2003
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/s00466-002-0380-5 (Access: Unknown)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{adfcf4bfa6d54816931012427b9f432b,
title = "Interaction between different internal length scales for strain localisation analysis of single phase materials",
abstract = "It is well known that both rate dependent and gradient-dependent constitutive models introduce internal length scales in dynamic initial value problems. As a result, numerical solutions of such initial value problems involving strain-softening no longer exhibit excessive mesh dependence. In this paper, the length scales included in a solid model which exhibits both above mentioned constitutive behaviours are discussed. The internal length scales derived from damping effects, which are typical for the viscoplastic models, and the wave length, obtained from the critical wave number for which the wave speed is not imaginary, are used together to give a prediction of the internal length scale of the combined model. The approach proposed here for prediction of the internal length scale is more general than commonly used procedures and permits to explain phenomena observed in viscoplastic and gradient dependent models. A one dimensional example is given to illustrate the theoretical findings.",
keywords = "Gradient dependent model, Strain localisation, Viscoplastic model",
author = "Zhang, {H. W.} and Schrefler, {B. A.} and Peter Wriggers",
year = "2003",
month = feb,
doi = "10.1007/s00466-002-0380-5",
language = "English",
volume = "30",
pages = "212--219",
journal = "Computational mechanics",
issn = "0178-7675",
publisher = "Springer Verlag",
number = "3",
}