Rigorous link between the effective elastic moduli and effective conductivity of composite materials

L. V. Gibiansky, S. Torquato

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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*.

Original languageEnglish (US)
Title of host publicationAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
PublisherPubl by ASME
Pages25-30
Number of pages6
ISBN (Print)079181145X
StatePublished - Jan 1 1993
Externally publishedYes
EventSummer Annual Meeting of the Applied Mechanics Division of ASME - Charlottesville, VA, USA
Duration: Jun 6 1993Jun 9 1993

Publication series

NameAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
Volume166
ISSN (Print)0160-8835

Other

OtherSummer Annual Meeting of the Applied Mechanics Division of ASME
CityCharlottesville, VA, USA
Period6/6/936/9/93

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

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  • Cite this

    Gibiansky, L. V., & Torquato, S. (1993). Rigorous link between the effective elastic moduli and effective conductivity of composite materials. In American Society of Mechanical Engineers, Applied Mechanics Division, AMD (pp. 25-30). (American Society of Mechanical Engineers, Applied Mechanics Division, AMD; Vol. 166). Publ by ASME.