  We consider the anomalous localized resonance due to a plasmonic structure
for the elastostatic system in 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 anomalous localized resonance (ALR) occurs. 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.
