Year: 2014
Type: article
Abstract: 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 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 formulations in vector elasticity studied in earlier work.
Source: New Journal of Physics
Language: English
Subfield: Biomedical Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,610
Awards: G2255278714, VIBRO-IMPACT MACHINES BASED ON PARAMETRIC RESONANCE:
Concepts, mathematical modelling, experimental verification and implementation, G4074455944, Controlling elastic waves: structured media and metamaterials in the mechanics of solids and structures, G6646767127, G6814650947, Creating macroscale effective interfaces encapsulating microstructural physics, G8436193768
OpenAlex ID: W2170901536