On the conductivity of polycrystals and a phase-interchange inequality

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

Physica A: Statistical Mechanics and its Applications, 1989, vol. 157, issue 1, 148-153

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.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:157:y:1989:i:1:p:148-153

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

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