Theory of damped bloch waves in elastic media
Webb28 jan. 2010 · Theory of damped Bloch waves in elastic media Mahmoud I. Hussein Phys. Rev. B 80, 212301 (2009) Issue. Vol. 81, Iss. 1 — 1 January 2010. Reuse & Permissions. Authorization Required. Log In. Other Options. Webb2 dec. 2009 · We present a theory for Bloch wave propagation in damped elastic media. We expand the eigenvalue problem governing the dispersion relation using a set of Bloch mode eigenvectors at each wave-vector point. With the assumption of Rayleigh …
Theory of damped bloch waves in elastic media
Did you know?
WebbErratum: Theory of damped Bloch waves in elastic media [Phys. Rev. B 80, 212301 (2009)] WebbMechanics and Wave Motion - Jun 09 2024 Provides thorough coverage of the basic concepts of mechanics and wave motion. Broadly it covers the laws of motion and inertial frames, conservation laws, the dynamics of rigid bodies, elasticity, gravitation, simple harmonic motion, damped harmonic oscillator, forced harmonic oscillator, and wave …
WebbDOI: 10.1115/1.4024397 Corpus ID: 120245121; Analysis of Damped Bloch Waves by the Rayleigh Perturbation Method @article{Phani2013AnalysisOD, title={Analysis of Damped Bloch Waves by the Rayleigh Perturbation Method}, author={A. Srikantha Phani and Mahmoud I. Hussein}, journal={Journal of Vibration and Acoustics}, year={2013}, … WebbElastic Bloch waves have a displacement vector of the form where is the periodic part of the Bloch wave, is the angular frequency, t is the time variable, and is the Bloch wavevector. In elastic solids, the stress and strain tensors are …
Webb10 mars 2010 · In periodic media, there are frequencies for which standing waves, periodic with the period or double period of the cell, on the microscale emerge. These frequencies do not belong to the low-frequency range of validity covered by the classical homogenization theory, which motivates our use of the term ‘high-frequency … Webb13 okt. 2024 · Hence, the non-Hermitian gyro-odd-elastic Rayleigh waves confine along the interface in one direction and are capable to propagate around sharp corners and bends with largely suppressed parasitic ...
Webb12 juni 2024 · June 12, 2024. Acoustic-structure interaction (ASI) problems require modeling elastic waves in solids, pressure waves in fluids, and the interaction between the two. Uses of ASI include devices that generate, scatter, transmit, or receive sound and mechanical systems for sound distribution, insulation, or noise cancellation.
Webb28 juli 2016 · Vibration band gaps and elastic wave propagation are examined in the metamaterial plates manufactured ... Phani AS, Hussein MI (2013) Analysis of damped Bloch waves by the Rayleigh perturbation method ... Phani A (2013) Local resonance bandgaps in periodic media: theory and experiment. Journal of the Acoustical Society of ... sick and seriousWebb1 juli 2009 · Hussein M (2009) Theory of damped Bloch waves in elastic media, Physical Review B, 10.1103/PhysRevB.80.212301, 80:21. Swain K, Behera S, Amiri I, Palai G and Sarkar P Analysis of Reflectance in Silicon Based Ternary Photonic Crystal Waveguide to Realize Mirror Application, SSRN Electronic Journal, 10.2139/ssrn.3517755. the pheasant inn oughtibridgeWebbpresence of damping results in temporal and spatial at-tenuations of the elastic waves as they freely \progress" through the periodic media [5]. It is therefore necessary to establish rigorous theoretical formalisms for damped Bloch wave propagation, which is the objective of this chapter. To follow is a brief survey of various studies in the the pheasant inn penyfaiWebb1 apr. 2024 · Theoretical, computational and experimental dynamics of materials and structures, dispersive, dissipative and nonlinear dynamics, periodic systems, disordered systems, phononics including phononic crystals and metamaterials, wave propagation, vibrations and acoustics, thermal transport in crystals, flow control using phononic … the pheasant inn newquayWebbTheory of damped Bloch waves in elastic media Hussein, Mahmoud I. download BookSC. Download books for free. Find books the pheasant inn newlyn east cornwallWebbDispersion properties of the fibrous medium are determined using Floquet–Bloch theory and Fourier series approximations. Influence of a viscous damping is taken into account. 1. ... ’ waves appearing in Biot's theory. Biot [51–53] introduced a phenomenological theory to describe propagation of elastic waves in porous media. sick and sharkoWebbWe use Bloch-wave analysis to identify a family of relevant limit models and introduce an approach to select a well-posed effective model under symmetry assumptions on the … the pheasant inn newport shropshire