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

Published online by Cambridge University Press:  10 March 2014

HYEONBAE KANG
Affiliation:
Department of Mathematics, Inha University, Incheon 402-751, South Korea email: [email protected]
HYUNDAE LEE
Affiliation:
Department of Mathematics, Inha University, Incheon 402-751, South Korea email: [email protected]

Abstract

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.

Type
Papers
Copyright
Copyright © Cambridge University Press 2014 

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