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Relevant bibliographies by topics / Metamaterials. Elasticity. Wave-motion, Theory of

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Academic literature on the topic 'Metamaterials. Elasticity. Wave-motion, Theory of'

Author: Grafiati

Published: 4 June 2021

Last updated: 12 February 2022

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Journal articles on the topic "Metamaterials. Elasticity. Wave-motion, Theory of"

1

MEI, CHIANG C., and YING-HUNG LIU. "Approximate theory of acoustic waveguide of metamaterials." Journal of Fluid Mechanics 678 (April 12, 2011): 203–20. http://dx.doi.org/10.1017/jfm.2011.106.

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We theoretically examine the propagation of sound in a waveguide bounded by a metamaterial formed by an array of small Helmholtz resonators. The field equation is shown to be similar to that governing sound in a bubbly liquid. The effects of dissipation on the wave dispersion are examined. In particular, it is shown that the energy in a monochromatic wave train is not transported by the real part of the complex group velocity unless dissipation is absent. We further derived the envelope equation and show that in a one-dimensional waveguide, energy is transported forward despite the backward mo

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Norris, A. N., and W. J. Parnell. "Hyperelastic cloaking theory: transformation elasticity with pre-stressed solids." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 468, no. 2146 (2012): 2881–903. http://dx.doi.org/10.1098/rspa.2012.0123.

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Transformation elasticity, by analogy with transformation acoustics and optics, converts material domains without altering wave properties, thereby enabling cloaking and related effects. By noting the similarity between transformation elasticity and the theory of incremental motion superimposed on finite pre-strain, it is shown that the constitutive parameters of transformation elasticity correspond to the density and moduli of small-on-large theory. The formal equivalence indicates that transformation elasticity can be achieved by selecting a particular finite (hyperelastic) strain energy fun

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Gaygusuzoglu, Guler, Metin Aydogdu, and Ufuk Gul. "Nonlinear Wave Modulation in Nanorods Using Nonlocal Elasticity Theory." International Journal of Nonlinear Sciences and Numerical Simulation 19, no. 7-8 (2018): 709–19. http://dx.doi.org/10.1515/ijnsns-2017-0225.

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AbstractIn this study, nonlinear wave modulation in nanorods is examined on the basis of nonlocal elasticity theory. Eringen's nonlocal elasticity theory is employed to derive nonlinear equations for the motion of nanorods. The analysis of the modulation of axial waves in nonlocal elastic media is performed, and the reductive perturbation method is used for the solution of the nonlinear equations. The propagation of weakly nonlinear and strongly dispersive waves is investigated, and the nonlinear Schrödinger (NLS) equation is acquired as an evolution equation. For the purpose of a numerical in

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ISLAM, Z. M., P. JIA, and C. W. LIM. "TORSIONAL WAVE PROPAGATION AND VIBRATION OF CIRCULAR NANOSTRUCTURES BASED ON NONLOCAL ELASTICITY THEORY." International Journal of Applied Mechanics 06, no. 02 (2014): 1450011. http://dx.doi.org/10.1142/s1758825114500112.

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The presence of size effects represented by a small nanoscale on torsional wave propagation properties of circular nanostructure, such as nanoshafts, nanorods and nanotubes, is investigated. Based on the nonlocal elasticity theory, the dynamic equation of motion for the structure is formulated. By using the derived equation, simple analytical solutions for the relation between wavenumber and frequency via the differential nonlocal constitutive relation and the numerical solutions for a discrete nonlocal model via the integral nonlocal constitutive relation have been obtained. This results not

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Mishra, B. K., and P. C. Upadhyay. "Dynamic Response of Buried Pipelines—An Elasticity Solution." Journal of Pressure Vessel Technology 112, no. 3 (1990): 291–95. http://dx.doi.org/10.1115/1.2928628.

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This paper presents a theory of elasticity solution of the axisymmetric steady-state dynamic response of a buried pipeline excited by a plane longitudinal wave (P-wave) traveling in the surrounding soil. Both the pipeline and the ground have been assumed to be linearly elastic, homogeneous and isotropic. Linear elasticity equations of motion have been solved simultaneously for the pipeline and the surrounding soil. A perfect bond between the pipeline and the ground has been assumed. The midplane deformations of the pipeline have been plotted against the nondimensional wave number of the incide

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Rousseau, Martine, and Gérard A. Maugin. "Rayleigh surface waves and their canonically associated quasi-particles." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467, no. 2126 (2010): 495–507. http://dx.doi.org/10.1098/rspa.2010.0229.

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Inspired by soliton theory and exploiting the conservation law of wave momentum, it is shown that one can associate with the surface Rayleigh wave of macroscopic elasticity a quasi-particle, a ‘surface phonon’, which is in inertial motion for the standard boundary conditions. The ‘mass’ of this ‘particle’ is determined in terms of the wave properties. Different types of alteration in the boundary conditions are shown to result in perturbations of this inertial motion in various ways. The essential tool in the presented derivation is the exploitation of the canonical equations of conservation,

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MICHELITSCH, THOMAS M., GÉRARD A. MAUGIN, MUJIBUR RAHMAN, SHAHRAM DEROGAR, ANDRZEJ F. NOWAKOWSKI, and FRANCK C. G. A. NICOLLEAU. "A continuum theory for one-dimensional self-similar elasticity and applications to wave propagation and diffusion." European Journal of Applied Mathematics 23, no. 6 (2012): 709–35. http://dx.doi.org/10.1017/s095679251200023x.

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We analyse some fundamental problems of linear elasticity in one-dimensional (1D) continua where the material points of the medium interact in a self-similar manner. This continuum with ‘self-similar’ elastic properties is obtained as the continuum limit of a linear chain with self-similar harmonic interactions (harmonic springs) which was introduced in [19] and (Michelitsch T.M. (2011) The self-similar field and its application to a diffusion problem. J. Phys. A Math. Theor.44, 465206). We deduce a continuous field approach where the self-similar elasticity is reflected by self-similar Laplac

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Norris, A. N., and D. L. Johnson. "Nonlinear Elasticity of Granular Media." Journal of Applied Mechanics 64, no. 1 (1997): 39–49. http://dx.doi.org/10.1115/1.2787292.

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The finite and incremental elasticity of a random packing of identical spheres is derived using energy methods. We consider different models for the contact forces between spheres, all of which are based upon or related to the fundamental Hertz theory; we consider only the special cases of perfect friction (no tangential slip) or no tangential friction. The existence of a strain energy function for the medium depends critically upon the type of contact. If the tangential contact stiffness is independent of the normal force, then the energy is well defined for all values of the macroscopic stra

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Kalderon, Moris, Andreas Paradeisiotis, and Ioannis Antoniadis. "2D Dynamic Directional Amplification (DDA) in Phononic Metamaterials." Materials 14, no. 9 (2021): 2302. http://dx.doi.org/10.3390/ma14092302.

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Phononic structures with unit cells exhibiting Bragg scattering and local resonance present unique wave propagation properties at wavelengths well below the regime corresponding to bandgap generation based on spatial periodicity. However, both mechanisms show certain constraints in designing systems with wide bandgaps in the low-frequency range. To face the main practical challenges encountered in such cases, including heavy oscillating masses, a simple dynamic directional amplification (DDA) mechanism is proposed as the base of the phononic lattice. This amplifier is designed to present the s

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Gerasik, Vladimir, and Marek Stastna. "Poroelastic acoustic wave trains excited by harmonic line tractions." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 464, no. 2090 (2007): 491–511. http://dx.doi.org/10.1098/rspa.2007.0107.

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A two-dimensional boundary-value problem for a porous half-space with an open boundary, described by the widely recognized Biot's equations of poroelasticity, is considered. Using complex analysis techniques, a general solution is represented as a superposition of contributions from the four different types of motion corresponding to P1, P2, S and Rayleigh waves. Far-field asymptotic solutions for the bulk modes, as well as near-field numerical results, are investigated. Most notably, this analysis reveals the following: (i) a line traction generates three wave trains corresponding to the bulk

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Dissertations / Theses on the topic "Metamaterials. Elasticity. Wave-motion, Theory of"

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Wu, Ying. "Effective medium theory for elastic metamaterials and wave propagation in strongly scattered random elastic media /." View abstract or full-text, 2008. http://library.ust.hk/cgi/db/thesis.pl?PHYS%202008%20WU.

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Manktelow, Kevin Lee. "Dispersion analysis of nonlinear periodic structures." Diss., Georgia Institute of Technology, 2013. http://hdl.handle.net/1853/51936.

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The present research is concerned with developing analysis methods for analyzing and exploring finite-amplitude elastic wave propagation through periodic media. Periodic arrangements of materials with high acoustic impedance contrasts can be employed to control wave propagation. These systems are often termed phononic crystals or metamaterials, depending on the specific design and purpose. Design of these systems usually relies on computation and analysis of dispersion band structures which contain information about wave propagation speed and direction. The location and influence of complete (

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Books on the topic "Metamaterials. Elasticity. Wave-motion, Theory of"

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David, Abrahams I., Martin P. A, and Simon Michael J, eds. IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity: Proceedings of the IUTAM symposium held in Manchester, United Kingdom, 16-20 July 2000. Kluwer Academic Publishers, 2002.

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Abrahams, I. David. IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity: Proceeding of the IUTAM Symposium held in Manchester, United Kingdom, 16-20 July 2000. Springer Netherlands, 2002.

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3

(Editor), I. David Abrahams, Paul A. Martin (Editor), and Michael J. Simon (Editor), eds. IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity (Fluid Mechanics and Its Applications). Springer, 2002.

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Book chapters on the topic "Metamaterials. Elasticity. Wave-motion, Theory of"

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Ting, T. T. C. "Steady State Motion and Surface Waves." In Anisotropic Elasticity. Oxford University Press, 1996. http://dx.doi.org/10.1093/oso/9780195074475.003.0015.

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The Stroh formalism for two-dimensional elastostatics can be extended to elastodynamics when the problem is a steady state motion. Most of the identities in Chapters 6 and 7 remain applicable. The Barnett-Lothe tensors S, H, L now depend on the speed υ of the steady state motion. However S(υ), H(υ), L(υ) are no longer tensors because they do not obey the laws of tensor transformation when υ≠0. Depending on the problems the speed υ may not be prescribed arbitrarily. This is particularly the case for surface waves in a half-space where υ is the surface wave speed. The problem of the existence and uniqueness of a surface wave speed in anisotropic materials is the crux of surface wave theory. It is a subject that has been extensively studied since the pioneer work of Stroh (1962). Excellent expositions on surface waves for anisotropic elastic materials have been given by Farnell (1970), Chadwick and Smith (1977), Barnett and Lothe (1985), and more recently, by Chadwick (1989d).

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Conference papers on the topic "Metamaterials. Elasticity. Wave-motion, Theory of"

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Guha, Amitava, and Jeffrey Falzarano. "Development of a Computer Program for Three Dimensional Analysis of Zero Speed First Order Wave Body Interaction in Frequency Domain." In ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/omae2013-11601.

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Evaluation of motion characteristics of ships and offshore structures at the early stage of design as well as during operation at the site is very important. Strip theory based programs and 3D panel method based programs are the most popular tools used in industry for vessel motion analysis. These programs use different variations of the Green’s function or Rankine sources to formulate the boundary element problem which solves the water wave radiation and diffraction problem in the frequency domain or the time domain. This study presents the development of a 3D frequency domain Green’s functio

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Clément, Constance, Pauline Bozonnet, Guillaume Vinay, Adria Borras Nadal, Philippe Pagnier, and Julien Réveillon. "Numerical Wave Tank Including a Fixed Vertical Cylinder Subjected to Waves, Towards the Investigation of Floating Offshore Wind Turbine Hydrodynamics." In ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/omae2020-18797.

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Abstract Specific engineering tools are used to design Floating Offshore Wind Turbines (FOWT). These so-called aero-hydro-servo-elastic solvers simulate the coupled behaviour of the turbine subjected to wind with the floater motion due to waves, including elasticity of the whole structure. The implemented hydrodynamic forces rely on a strong Oil&Gas background and include potential flow theory and empirical laws, such as Morison forces. The undergoing study aims at re-evaluating the validity range of such theories, when applied to FOWT. To do so, CFD simulations will be run to model wave p

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