On the conductivity of polycrystals and a phase-interchange inequality

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

doi:10.1016/0378-4371(89)90291-4

On the conductivity of polycrystals and a phase-interchange inequality

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

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English (US)
Pages (from-to)	148-153
Number of pages	6
Journal	Physica A: Statistical Mechanics and its Applications
Volume	157
Issue number	1
DOIs	https://doi.org/10.1016/0378-4371(89)90291-4
State	Published - May 1 1989

ASJC Scopus subject areas

Statistics and Probability
Condensed Matter Physics

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10.1016/0378-4371(89)90291-4

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abstract = "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.",

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On the conductivity of polycrystals and a phase-interchange inequality

Abstract

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