Coated inclusions of finite conductivity neutral to multiple fields in two-dimensional conductivity or anti-plane elasticity
2014 ◽
Vol 25
(3)
◽
pp. 329-338
◽
Keyword(s):
The Core
◽
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.
2001 ◽
Vol 203
◽
pp. 555-557