A description of macroscopic damage through microstructural relaxation

authored by: T. Zohdi, M. Feucht, D. Gross, Peter Wriggers
Abstract: In this paper a flexible model for the description of damage in heterogeneous structural materials is presented. The approach involves solving the equations of equilibrium, with unilateral constraints on the maximum attainable values of selected internal variables. Due to the unilateral constraints, the problem is non-linear. Accordingly, a simple iterative algorithm is developed to solve this problem by (1) computing the internal fields with the initial undamaged microstructure and (2) reducing the material stiffness at locations where the constraints are violated. This process is repeated until a solution, with a corresponding microstructure, that satisfies the equations of equilibrium and the constraints, is found. The corresponding microstructure is the final 'damaged' material. As an application, the method is used in an incremental fashion to generate response curves describing the progressive macroscopic damage for a sample of commonly used fibre-reinforced Aluminum/Boron composite. The results are compared to laboratory experiments published by Kyono et al.¹ and computational results using standard numerical methods, published by Brockenbrough et al.²
Organisation(s): Institute of Mechanics and Computational Mechanics
External Organisation(s): Technische Universität Darmstadt
Type: Article
Journal: International Journal for Numerical Methods in Engineering
Volume: 43
Pages: 493-506
No. of pages: 14
ISSN: 0029-5981
Publication date: 15.10.1998
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Numerical Analysis, Engineering(all), Applied Mathematics
Electronic version(s): https://doi.org/10.1002/(SICI)1097-0207(19981015)43:3<493::AID-NME461>3.0.CO;2-N (Access: Unknown)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{f597fba4e13545fa966e5026d4942ee7,
title = "A description of macroscopic damage through microstructural relaxation",
abstract = "In this paper a flexible model for the description of damage in heterogeneous structural materials is presented. The approach involves solving the equations of equilibrium, with unilateral constraints on the maximum attainable values of selected internal variables. Due to the unilateral constraints, the problem is non-linear. Accordingly, a simple iterative algorithm is developed to solve this problem by (1) computing the internal fields with the initial undamaged microstructure and (2) reducing the material stiffness at locations where the constraints are violated. This process is repeated until a solution, with a corresponding microstructure, that satisfies the equations of equilibrium and the constraints, is found. The corresponding microstructure is the final 'damaged' material. As an application, the method is used in an incremental fashion to generate response curves describing the progressive macroscopic damage for a sample of commonly used fibre-reinforced Aluminum/Boron composite. The results are compared to laboratory experiments published by Kyono et al.1 and computational results using standard numerical methods, published by Brockenbrough et al.2",
keywords = "Composites, Damage, Finite elements, Unilateral constraints",
author = "T. Zohdi and M. Feucht and D. Gross and Peter Wriggers",
year = "1998",
month = oct,
day = "15",
doi = "10.1002/(SICI)1097-0207(19981015)43:3<493::AID-NME461>3.0.CO;2-N",
language = "English",
volume = "43",
pages = "493--506",
journal = "International Journal for Numerical Methods in Engineering",
issn = "0029-5981",
publisher = "John Wiley and Sons Ltd",
number = "3",
}