BOUNDS ON THE CONDUCTIVITY OF STATISTICALLY ISOTROPIC POLYCRYSTALS.

Kalman Schulgasser

BOUNDS ON THE CONDUCTIVITY OF STATISTICALLY ISOTROPIC POLYCRYSTALS.

Department of Mechanical Engineering

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

Abstract

The problem of the prediction of the effective electrical conductivity of a polycrystal from the conductivity of a single crystal is considered. If the only information known about phase geometry is that the aggregate is statistically homogeneous and isotropic it is shown that the average of the principal conductivities of the single crystal is the best upper bound on effective conductivity that can possibly be found. A new rigorous lower bound is found for the case of axially symmetric crystals. An exact solution is found for the case of a two-dimensional polycrystal.

Original language	English
Journal	Ben Gurion Univ Negev Dep Mech Eng MED Rep
Issue number	7
State	Published - 1 Jan 1976

ASJC Scopus subject areas

Engineering (all)

Cite this

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AB - The problem of the prediction of the effective electrical conductivity of a polycrystal from the conductivity of a single crystal is considered. If the only information known about phase geometry is that the aggregate is statistically homogeneous and isotropic it is shown that the average of the principal conductivities of the single crystal is the best upper bound on effective conductivity that can possibly be found. A new rigorous lower bound is found for the case of axially symmetric crystals. An exact solution is found for the case of a two-dimensional polycrystal.

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BOUNDS ON THE CONDUCTIVITY OF STATISTICALLY ISOTROPIC POLYCRYSTALS.

Abstract

ASJC Scopus subject areas

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