TRANSFORMATION CLOAKING AND RADIAL APPROXIMATIONS FOR FLEXURAL WAVES IN ELASTIC PLATES

Transformation cloaking and radial approximations for flexural waves in elastic plates

Transformation cloaking and radial approximations for flexural waves in elastic plates

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It is known that design of elastic cloaks is much more challenging than that of acoustic cloaks, cloaks of electromagnetic waves or scalar problems of anti-plane shear.In this paper, we address fully the fourth-order problem and develop a model of a broadband invisibility Ski de fond - Equipement - Skis - Enfant - Combi cloak for channelling flexural waves in thin plates around finite inclusions.We also discuss an option to employ efficiently an elastic pre-stress and body forces to achieve such a result.

An asymptotic derivation provides a rigorous link between the model in question and elastic wave propagation in thin solids.This is discussed in detail to show connection with non-symmetric MAX PROTECTION DEODORANT WILD formulations in vector elasticity studied in earlier work.

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