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On coated inclusions neutral to bulk strain fields in two dimensions
Kang, Hyeonbae
2016
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e-ISSN
2464-8728
Abstract
The neutral inclusion problem in two dimensional isotropic elasticity is considered. The neutral inclusion, when inserted in a ma-trix having a uniform applied field, does not disturb the field outside the inclusion. The inclusion consists of the core and shell of arbitrary shapes, and their elasticity tensors are isotropic. We show that if the coated inclusion is neutral to a uniform bulk field, then the core and shell must be concentric disks, provided that the shear and bulk moduli satisfy certain conditions.
Series
Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics
48 (2016)
Publisher
EUT Edizioni Università di Trieste
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