Effective Thermal Conductivity of Transversely Isotropic Materials with Concave Pores
Résumé
The aim of this paper is to extend recent elastic work to thermal problem. In the first part of the paper, approximate relations for the resistivity contribution tensor of pores of two reference shapes, supersphere and axisymmetrical superspheroid, are developed on the basis of 3D Finite Element Modelling, presented in the companion paper, and known exact solutions for the limiting cases of spherical pores. In the second part application to effective elastic coefficients of transversely isotropic materials such as clay rocks, in the frame of homogenization theory, is presented to illustrate the impact of concavity parameter on overall properties.