Bounds on the effective conductivity of statistically isotropic multicomponent materials and random cell polycrystals

Upper and lower bounds on the effective conductivity of statistically isotropic multicomponent materials in d dimensions ( d=2 or 3) are constructed from the minimum energy principles and appropriate trial fields. The trial fields, involving harmonic potentials and free parameters to be optimized, l...

Full description

Saved in:
Bibliographic Details
Published in:Journal of the mechanics and physics of solids 2011-03, Vol.59 (3), p.497-510
Main Author: Duc Chinh, Pham
Format: Article
Language:English
Subjects:
Aggregates
Asymmetry
Construction materials
Correlation
Effective conductivity
Estimates
Lower bounds
Optimization
Polycrystals
Random cell polycrystal
Statistically isotropic multicomponent material
Symmetric cell material
Three-point correlation parameter
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Upper and lower bounds on the effective conductivity of statistically isotropic multicomponent materials in d dimensions ( d=2 or 3) are constructed from the minimum energy principles and appropriate trial fields. The trial fields, involving harmonic potentials and free parameters to be optimized, lead to the bounds containing up to three-point correlation information about the microgeometry of a composite. The bounds are applied to give estimates for the symmetric cell materials, which are optimal over some ranges of parameters, and asymmetric multicoated spheres, which yield the exact effective conductivity in certain cases. The results also agree with many known ones. New bounds for random cell polycrystals are obtained and illustrated on a number of polycrystalline aggregates.
ISSN:0022-5096
DOI:10.1016/j.jmps.2011.01.006