On calculation of effective conductivity of inhomogeneous metals

Abstract

In the framework of the perturbation theory an expression suitable for calculation of the effective conductivity of 3-D inhomogeneous metals in uniform magnetic field H is derived. For polycrystals of metals with closed Fermi surfaces in high magnetic fields the perturbation series defining the longitudinal and the hall elements of the perturbation series can be summed allowing us to obtain the exact expression for the leading terms of all these elements of the effective conductivity tensor.

Representative hydraulic conductivities in saturated groundwater flow

“…Still, we must stress the large volume of literature produced in a number of disciplines with the aim of finding representative parameters in the theory of conductive media. Such disciplines would include electrical conductivity (see, e.g., Fokin [1996] for a review and Kaganova [2003]), thermal conductivity [e.g., Caldimi and Mahajan , 1999; Boomsma and Poulikakos , 2001], galvanomagnetic conductivity [e.g., Kaganova and Kaganov , 2004; Bergman and Stroud , 2000], and electronic conductivity [e.g., Du et al , 2004].…”

Coupling infrared thermography and acoustic emission for damage study in CFRP composites

“…Regarding the heat sources determination, one of the main contribution of this work is to take into account the anisotropic symmetry of the material. Existing works often deal with isotropic materials (especially metallic, [7,14]) in which the thermal conductivity k remains a scalar value. In our case, 2D orthotropy is considered.…”