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arXiv · 1303.7130

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

Hyeonbae Kang·Hyundae Lee
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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.

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Hyeonbae Kang, Hyundae Lee. 2013-03-28. Coated inclusions of finite conductivity neutral to multiple fields in two dimensional conductivity or anti-plane elasticity. https://doi.org/10.1017/s0956792514000060

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