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Nonlinear Neutral Inclusions: Assemblages of Spheres

2012/01/24 by Silvia Isabel Vallejo Jiménez, Jiménez, Silvia, Bogdan Vernescu +3
Computer Science · Engineering · #Adhesion, Friction, and Surface Interactions #Composite Material Mechanics #Contact Mechanics and Variational Inequalities #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.1201.4902

openalex publication_date 2012/01/24 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

If a neutral inclusion is inserted in a matrix containing a uniform applied electric field, it does not disturb the field outside the inclusion. The well known Hashin coated sphere is an example of a neutral coated inclusion. In this paper, we consider the problem of constructing neutral inclusions from nonlinear materials. In particular, we discuss assemblages of coated spheres and the two-dimensional analogous problem of assemblages of coated disks.

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