On a phase interchange relationship for composite materials

Research output: Contribution to journalArticlepeer-review

45 Scopus citations


A theorem exists relating the transverse conductivity of a fiber reinforced material in a determinate manner to the conductivity of the composite with the phase properties interchanged. It is shown that no such theorem can exist in the three-dimensional case, e.g., for a statistically isotropic composite material. However, an inequality is established relating the two effective conductivities.

Original languageEnglish
Pages (from-to)378-381
Number of pages4
JournalJournal of Mathematical Physics
Issue number3
StatePublished - 1 Jan 1975

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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