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)|
|Number of pages||6|
|Journal||Physica A: Statistical Mechanics and its Applications|
|State||Published - May 1 1989|
ASJC Scopus subject areas
- Statistics and Probability
- Condensed Matter Physics