@inproceedings{5724e84df0034af9822095cca810694b,
title = "Rigorous link between the effective elastic moduli and effective conductivity of composite materials",
abstract = "We derive rigorous cross-property relations linking the effective electrical conductivity and the effective elastic moduli of two-dimensional, istropic composite materials made of two isoentropic phases taken in prescribed proportions. Employing the translation method, we have derived upper and lower bounds on the effective bulk modulus κ, and on the effective shear modulus μ, in terms of the effective conductivity δ. The bulk modulus bounds are defined in the κ*-δ* plane by two intersecting hyperbolas. The intersection points correspond exactly to certain geometries which attain Hashin-Shtrikman bounds on κ* and δ*.",
author = "Gibiansky, {L. V.} and S. Torquato",
year = "1993",
language = "English (US)",
isbn = "079181145X",
series = "American Society of Mechanical Engineers, Applied Mechanics Division, AMD",
publisher = "Publ by ASME",
pages = "25--30",
booktitle = "American Society of Mechanical Engineers, Applied Mechanics Division, AMD",
note = "Summer Annual Meeting of the Applied Mechanics Division of ASME ; Conference date: 06-06-1993 Through 09-06-1993",
}