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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  and
HYUNDAE LEE
HYEONBAE KANG
Affiliation:
Department of Mathematics, Inha University, Incheon 402-751, South Korea email: hbkang@inha.ac.kr
HYUNDAE LEE
Affiliation:
Department of Mathematics, Inha University, Incheon 402-751, South Korea email: hbkang@inha.ac.kr
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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.

Keywords

neutral inclusionfinite conductivitycoated inclusion
Type
Papers
Information
European Journal of Applied Mathematics , Volume 25 , Issue 3 , June 2014 , pp. 329 - 338
Copyright
Copyright © Cambridge University Press 2014 

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