Elastic cloaking theory

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August undefined, 2024

WebJan 22, 2015 · In the paper “Transformation elastodynamics and cloaking for flexural waves”, D.J. Colquitt, M. Brun, M. Gei, A.B. Movchan, N.V. Movchan, and I.S. Jones present a new framework for transformation … WebApr 29, 2008 · A theory of acoustic cloaking is developed using the transformation or change-of-variables method for mapping the cloaked region to a point with vanishing scattering strength. We show that the acoustical parameters in the cloak must be anisotropic: either the mass density or the mechanical stiffness or both.

Mechanical cloak design by direct lattice transformation

WebJun 20, 2024 · Elastic cloaking theory. Wave Motion 2011; 48: 525–538. Crossref. Google Scholar [13]. Colquitt DJ, Jones IS, Movchan NV, et al. Making waves round a structured cloak: Lattices, negative refraction and fringes. Proc R Soc A 2013; 469: 20130218. Crossref. Google Scholar [14]. WebNov 15, 2013 · cloaking theory [1-5]. The essential concept of cloaking acoustic wave propagation involves transformation acoustics, where the pointwise elastic properties and mass density of the cloak... checkpoint cloning group

Hyperelastic cloaking theory: transformation elasticity …

WebJun 10, 2024 · Elastic cloaking theory A. Norris, A. Shuvalov Physics 2011 Transformation theory is developed for the equations of linear anisotropic elasticity. The transformed equations correspond to non-unique material properties that can be varied for a given… Expand 211 Highly Influential PDF View 4 excerpts, references background http://coewww.rutgers.edu/~norris/papers/2011_Wave_Motion_48_525-538.pdf WebMar 30, 2011 · Elastic cloaking theory. The transformation theory of optics and acoustics is developed for the equations of linear anisotropic elasticity. The transformed equations … checkpoint_config dict create_symlink false

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WebWe analyse the elastic properties of a class of cylindrical cloaks deduced from linear geometric transforms x → x ′ in the framework of the Milton–Briane–Willis cloaking … WebHyperelastic cloaking theory: Transformation elasticity with pre-stressed solids, with W. J. Parnell, Proc. R. Soc. A, 468 2881-2903, 2012 pdf doi Employing pre-stress to generate finite cloaks for antiplane elastic waves, with W. J. Parnell and T. Shearer, Appl. Phys. Lett., 100 171907, 2012 pdf doi checkpoint config syslogWebApr 8, 2024 · Buildings, in the case of perfect elastic conditions for both soil and buildings, are shown to interact and strongly influence elastic surface waves; such site-city seismic interactions were... checkpoint.com shop

"WebThis paper describes how asymptotic analysis can be used to gain new insights into the theory of cloaking of spherical and cylindrical targets within the context of acoustic waves in a class of linear elastic materials. " - Elastic cloaking theory

Elastic cloaking theory

WebJan 19, 2024 · We develop an optimization framework for the design of acoustic cloaks, with the aim of overcoming the limitations of usual transformation-based cloaks in terms of microstructure complexity and … WebJan 5, 2024 · This paper is concerned with the elastic near cloaking for the Lamé system in three-dimensions using the notion of elastic scattering coefficients (ESC). Accordingly, the ESC of arbitrary three-dimensional objects are designed and some of their properties are discussed using elements of the elastic layer potential theory.

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WebFeb 1, 2024 · Theoretically, an elastic cloak can also be realized within framework of the small-on-large theory with a pre-stressed hyperelastic material (Norris and Parnell, … WebMay 23, 2012 · Norris A and Parnell W (2024) Static elastic cloaking, low-frequency elastic wave transparency and neutral inclusions, Proceedings of the Royal Society A: …

WebAug 3, 2024 · Transformation media theory, which steers waves in solids via an effective geometry induced by a refractive material (Fermat's principle of least action), provides a … WebOct 1, 2024 · The transformed elastic constitutive relations are highly consistent with the Willis equations proposed in 1981 [21]. Acknowledging this fact, the designed cloak is …

WebApr 3, 2013 · An active elastodynamic cloak destructively interferes with an incident time harmonic in-plane (coupled compressional/shear) elastic wave to produce zero total elastic field over a finite spatial region. A method is described which explicitly predicts the source amplitudes of the active field. WebJan 5, 2024 · This paper is concerned with the elastic near cloaking for the Lamé system in three-dimensions using the notion of elastic scattering coefficients (ESC). Accordingly, …

WebMar 30, 2011 · Recently, the idea of transformation-optics was also applied in elastic cloaking theory [10,16,17,21,33, 37, 40]. However, it is more difficult to achieve …

WebApr 29, 2008 · A theory of acoustic cloaking is developed using the transformation or change-of-variables method for mapping the cloaked region to a point with vanishing … checkpoint configuration backupWebJan 3, 2024 · ABSTRACT. Invisibility cloaks for flexural waves have mostly been examined in a continuous-wave regime, while invisibility is likely to deteriorate for short pulses. Here, we propose the practical realization of a unidirectional invisibility cloak for flexural waves based on an area-preserving coordinate transformation. flatlands climbing competitionWebHowever, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button. This paper describes how asymptotic analysis can be used to gain new … checkpoint computerWebApr 27, 2015 · This paper deals with the numerical design of a directional invisibility cloak for backward scattered elastic waves propagating in a thin plate (A 0 Lamb waves). The directional cloak is based on a set of resonating beams that are attached perpendicular to the plate and are arranged at a sub-wavelength scale in ten concentric rings. checkpoint.com reviewsWebFeb 24, 2024 · Rotationally resonant metamaterials are leveraged to answer a longstanding question regarding the existence of transformation-invariant elastic materials and the ad hoc possibility of... checkpoint completed flatlands concreteWebFeb 9, 2024 · In this paper, we show how to efficiently achieve thermal cloaking from a computational standpoint in several virtual scenarios by controlling a distribution of active heat sources. check point compliance blade