Journal
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
Volume 30, Issue 6, Pages 828-843Publisher
ELSEVIER
DOI: 10.1016/j.euromechsol.2011.05.007
Keywords
Composite materials; Polycrystals; Viscoplastic properties
Categories
Funding
- National Science Foundation [CMMI-0654063, CMMI-0969570]
- IMDEA-Materials
- Div Of Civil, Mechanical, & Manufact Inn
- Directorate For Engineering [0969570] Funding Source: National Science Foundation
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This work is concerned with the generalization of the variational linear comparison method of Ponte Castaneda (J. Mech. Phys. Solids 39 (1991) 45)) to multi-scale, random, heterogeneous material systems with nonlinear isotropic constituents. This method has the distinguishing feature of allowing the conversion of bounds or estimates that might be available for linear systems into corresponding bounds or estimates for the nonlinear composites of interest. Furthermore, the method is fairly simple to implement and quite general. General estimates are developed for two-scale systems and applied to various model composites with particulate and granular micro- and meso-structures, and compared with the corresponding results for their single-scale counterparts. It is found that the way that the material heterogeneity is distributed at the two separate scales can in most cases have a significant effect on the macroscopic behavior of the composite system. (C) 2011 Elsevier Masson SAS. All rights reserved.
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