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Nonlinear neutral inclusions: assemblages of coated ellipsoids. | LitMetric

Nonlinear neutral inclusions: assemblages of coated ellipsoids.

R Soc Open Sci

Department of Mathematical Sciences , Worcester Polytechnic Institute , 100 Institute Road, Worcester, MA 01609, USA.

Published: April 2015

The problem of determining nonlinear neutral inclusions in (electrical or thermal) conductivity is considered. Neutral inclusions, inserted in a matrix containing a uniform applied electric field, do not disturb the field outside the inclusions. The well-known Hashin-coated sphere construction is an example of a neutral inclusion. In this paper, we consider the problem of constructing neutral inclusions from nonlinear materials. In particular, we discuss assemblages of coated ellipsoids. The proposed construction is neutral for a given applied field.

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4448859PMC
http://dx.doi.org/10.1098/rsos.140394DOI Listing

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