Nonlinear Neutral Inclusions: Effective Conductivity of a Spiral with a Nonlinear Core

Summary This study concerns the problem of determining nonlinear neutral inclusions. Neutral inclusions, nestled within a medium under a uniform applied (electric/thermal) field, do not disturb the field outside the inclusions. The well-known Hashin coated sphere model is an example of such inclusions. The focus of this article lies on the design of neutral inclusions using nonlinear materials. Configurations of circular inclusions incorporating a spiraling laminate structure, particularly examining spirals housing inner inclusions made from nonlinear materials, are studied, and their effective conductivity is obtained.