Effective Conductivity of 2D Disk – Ring Composite Material

Abstract

For 2D bounded composite material geometrically composed by a disk of variable radius r and an outer ring it is determined in an analytic form the x-component of the effective conductivity tensor. Namely, it is shown that the x-component is a sum of geometrical progression with respect to powers of r ² for all sufficiently small r.

Keywords:

• bounded 2D composites
• disk-ring
• heat conduction
• ℝ-linear problem
• effective conductivity

AMS Subject Classification:

• 74A40
• 74G10
• 30E25