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We consider the anomalous localized resonance due to a plasmonic structure for the elastostatic system in $mathbb{R}^2$. The plasmonic structure takes a general core-shell-matrix form with the metamaterial located in the shell. If there is no core, we show that resonance occurs for a very broad class of sources. If the core is nonempty and of an arbitrary shape, we show that there exists a critical radius such that resonance occurs for a certain class of sources lying within the critical radius, whereas resonance does not occur for a certain class of sources lying outside the critical radius. Our argument is based on a variational technique by making use of the primal and dual variational principles for the elastostatic system, along with the construction of suitable test functions.

On Anomalous Localized Resonance for the Elastostatic System