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)
 

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