Coated inclusions of finite conductivity neutral to multiple fields in two-dimensional conductivity or anti-plane elasticity

HYEONBAE KANG, HYUNDAE LEE

doi:10.1017/s0956792514000060

Coated inclusions of finite conductivity neutral to multiple fields in two-dimensional conductivity or anti-plane elasticity

DOI Web Site 被引用文献3件

説明

<jats:p>We consider the problem of neutral inclusions for two-dimensional conductivity and anti-plane elasticity. The neutral inclusion, when inserted in a matrix having a uniform field, does not disturb the field outside the inclusion. The inclusion consists of a core and a shell. We show that if the inclusion is neutral to two linearly independent fields, then the core and the shell are confocal ellipses.</jats:p>