Optimal lower bounds on the electric-field concentration in composite media
The composites made from two linear-isotropic-dielectric materials were discussed. It was found that lower bounds on all rth moments of the electric-field intensity inside each phase were obtained for r≥ 2. A lower bound on the maximum field intensity inside the composite was also presented. The importance of bounds for the assessment of local fields behavior in terms of a statistical description of the microstructure was also elaborated.
Publication Source (Journal or Book title)
Journal of Applied Physics
Lipton, R. (2004). Optimal lower bounds on the electric-field concentration in composite media. Journal of Applied Physics, 96 (5), 2821-2827. https://doi.org/10.1063/1.1777808