TY - JOUR
T1 - Evaluation of the effective elastic moduli of particulate composites based on maxwell's concept of equivalent inhomogeneity
T2 - Microstructure-induced anisotropy
AU - Kushch, Volodymyr I.
AU - Mogilevskaya, Sofia G.
AU - Stolarski, Henryk K.
AU - Crouch, Steven L.
PY - 2013
Y1 - 2013
N2 - Maxwell's concept of equivalent inhomogeneity is employed for evaluating the effective elastic properties of macroscopically anisotropic particulate composites with isotropic phases. The effective anisotropic elastic properties of the material are obtained by comparing the far-field solutions for the problem of a finite cluster of isotropic particles embedded in an infinite isotropic matrix with those for the problem of a single anisotropic equivalent inhomogeneity embedded in the same matrix. The former solutions precisely account for the interactions between all particles in the cluster and for their geometrical arrangement. Illustrative examples involving periodic (simple cubic) and random composites suggest that the approach provides accurate estimates of their effective elastic moduli.
AB - Maxwell's concept of equivalent inhomogeneity is employed for evaluating the effective elastic properties of macroscopically anisotropic particulate composites with isotropic phases. The effective anisotropic elastic properties of the material are obtained by comparing the far-field solutions for the problem of a finite cluster of isotropic particles embedded in an infinite isotropic matrix with those for the problem of a single anisotropic equivalent inhomogeneity embedded in the same matrix. The former solutions precisely account for the interactions between all particles in the cluster and for their geometrical arrangement. Illustrative examples involving periodic (simple cubic) and random composites suggest that the approach provides accurate estimates of their effective elastic moduli.
KW - Anisotropic elastic moduli
KW - Maxwell's methodology
KW - Particulate composites
KW - Spherical harmonics
KW - Spherical particles
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U2 - 10.2140/jomms.2013.8.283
DO - 10.2140/jomms.2013.8.283
M3 - Article
AN - SCOPUS:84892745242
SN - 1559-3959
VL - 8
SP - 283
EP - 303
JO - Journal of Mechanics of Materials and Structures
JF - Journal of Mechanics of Materials and Structures
IS - 5-7
ER -