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22 March 2021 Weak and strong elastostatic neutral inclusions: static elastic cloaking meets low frequency elastodynamic transparency
William J. Parnell, Andrew N. Norris
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Proceedings Volume 11593, Health Monitoring of Structural and Biological Systems XV; 115931B (2021) https://doi.org/10.1117/12.2581704
Event: SPIE Smart Structures + Nondestructive Evaluation, 2021, Online Only
Abstract
Significant research over the last decade has focused on elastostatic metamaterials and particularly elastostatic cloaking. A related concept is the "neutral inclusion" (NI): a coated region, where the coating is designed such that fields in the exterior region are unperturbed by the presence of the NI. Until recently it was considered that finite thickness, homogeneous coatings could not be designed for elasticity. Here, two types of neutral inclusion are distinguished, "weak" and "strong" with the former equivalent to low frequency transparency and Christensen and Lo’s generalised self-consistent result from 1979. We show that anisotropic coatings can yield strong neutrality, thus providing new connections between static elastic cloaking, low frequency elastic wave scattering and neutral inclusions.
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William J. Parnell and Andrew N. Norris "Weak and strong elastostatic neutral inclusions: static elastic cloaking meets low frequency elastodynamic transparency", Proc. SPIE 11593, Health Monitoring of Structural and Biological Systems XV, 115931B (22 March 2021); https://doi.org/10.1117/12.2581704
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KEYWORDS
Transparency
Coating
Scattering
Interfaces
Metamaterials
Solids
Optical spheres
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