Link between the conductivity and elastic moduli of composite materials

L. V. Gibiansky, S. Torquato

Research output: Contribution to journalArticlepeer-review

66 Scopus citations


We derive relations linking the conductivity σ* and elastic moduli of any two-dimensional, isotropic composite material. Specifically, upper and lower bounds are derived on the effective bulk modulus κ* in terms of σ* and on the effective shear modulus μ* in terms of σ*. In some cases the bounds are attainable by certain microgeometries and thus optimal. Knowledge of the conductivity can yield sharp estimates of the elastic moduli (and vice versa) even for infinite phase contrast.

Original languageEnglish (US)
Pages (from-to)2927-2930
Number of pages4
JournalPhysical review letters
Issue number18
StatePublished - 1993

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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