ON ANOMALOUS LOCALIZED RESONANCE FOR THE ELASTOSTATIC SYSTEM
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 3322-3344 |
| Journal / Publication | SIAM Journal on Mathematical Analysis |
| Volume | 48 |
| Issue number | 5 |
| Online published | 21 Sept 2016 |
| Publication status | Published - 2016 |
| Externally published | Yes |
Link(s)
Abstract
We consider the anomalous localized resonance due to a plasmonic structure for the elastostatic system in ℝ2. 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. © 2016, Society for Industrial and Applied Mathematics.
Research Area(s)
- anomalous localized resonance, Eeastostatics, plasmonic material
Citation Format(s)
ON ANOMALOUS LOCALIZED RESONANCE FOR THE ELASTOSTATIC SYSTEM. / LI, HONGJIE; LIU, HONGYU.
In: SIAM Journal on Mathematical Analysis, Vol. 48, No. 5, 2016, p. 3322-3344.
In: SIAM Journal on Mathematical Analysis, Vol. 48, No. 5, 2016, p. 3322-3344.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
