On the conductivity of polycrystals and a phase-interchange inequality
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.
Year of publication: |
1989
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Authors: | Avellaneda, Marco ; Cherkaev, A.V. ; Lurie, K.A. ; Milton, Graeme |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 157.1989, 1, p. 148-153
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Publisher: |
Elsevier |
Saved in:
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