On the conductivity of polycrystals and a phase-interchange inequality

Marco Avellaneda, A. V. Cherkaev, K. A. Lurie, Graeme Milton

Research output: Contribution to journalArticlepeer-review


We establish new optimal bounds on the Ohmic conductivity tensor of a single-phase polycrystal through a comparison principle which uses a null-Lagrangian. A similar technique is used to obtain a sharp inequality correlating the conductivities of a two-phase composite material and the material which is obtained from it by interchanging the two phases.

Original languageEnglish (US)
Pages (from-to)148-153
Number of pages6
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1
StatePublished - May 1 1989

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics


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