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A description of macroscopic damage through microstructural relaxation
Author(s) -
Zohdi T.,
Feucht M.,
Gross D.,
Wriggers P.
Publication year - 1998
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19981015)43:3<493::aid-nme461>3.0.co;2-n
Subject(s) - microstructure , relaxation (psychology) , dynamic relaxation , stiffness , simple (philosophy) , materials science , mathematics , iterative method , mathematical optimization , computer science , composite material , geometry , psychology , social psychology , philosophy , epistemology
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. and computational results using standard numerical methods, published by Brockenbrough et al. © 1998 John Wiley & Sons, Ltd.