... the location and width of band gaps. We consider periodicities involving the repeated spatial variation of material, geometry, boundary and/or suspended mass along the span of a beam. In our formulation, we implement Bloch’s theorem for elastic wave propagation and utilize Timoshenko beam theory...

... scale. aluminium alloys bronze bubbles carbon fibre reinforced composites carbon fibre reinforced plastics elastic waves finite element analysis Lagrangian field theory Mach number nickel alloys shock waves The objective of this paper is to present and validate dynamic scaling...

... approach can be applied to cope with the diffraction problems by multiple cracks or branched cracks under SH-wave incidence. 10 08 2010 17 01 2011 03 03 2011 14 04 2011 14 04 2011 crack-edge stress field analysis diffraction elastic waves diffraction SH waves edge...

... , of the generalized model is defined in the Fourier transform of Eq. 18 , 86 E ̂ e = [ E 0 T 0 Ω i T 0 Ω i + 1 + ∑ i = 1 n 1 E i ( 1 + T i Ω i ) ] − 1 dynamic response elastic waves inhomogeneous media multilayers...

... equation in a half-space). The study of problems involving scatterers near boundaries or interfaces has a long history. For linear surface water waves interacting with a submerged circular cylinder, see the famous paper by Ursell ( 8 ). For plane-strain elastic waves in a homogeneous half-space...

... , 4 ( 2 ), pp. 325 – 333 . Thomson , W. T. , 1950 , “ Transmission of Elastic Waves Through a Stratified Soil Solid ,” J. Appl. Phys. 0021-8979 10.1063/1.1699629 , 21 , pp. 89 – 93 . Haskell , N. A. , 1953 , “ The Dispersion of Surface Waves In Multilayered Solids...

... varying length is discovered. 28 02 2007 26 09 2007 05 03 2008 elastic waves vibrations wave propagation moving string with variable length characteristic transformation boundary excitation rate of change of energy unstable shortening string behavior parametric...

.... eigenvalues and eigenfunctions elastic deformation elastic waves lattice dynamics topology wave propagation 21 02 2007 15 06 2007 27 02 2008 2008 American Society of Mechanical Engineers ...

... of the scaling function used for spatial approximation and the spatial distribution of the load. 25 07 2006 03 05 2007 16 01 2008 approximation theory elastic waves finite element analysis laminates partial differential equations plates (structures) time-frequency analysis wave...

... of dynamic stress around the cavity, especially in the case that the buried depth is comparatively small. 18 05 2006 16 08 2006 functionally graded materials elastic waves wave functions inhomogeneous media stress effects exponentially graded material multiple scattering...

...Xueqian Fang; Chao Hu; Wenhu Huang In this paper, based on the theory of elastic thin plates, applying the image method and the wave function expansion method, multiple scattering of elastic waves and dynamic stress concentration in semi-infinite plates with a circular cutout are investigated...

... cracks. Schematic diagram of a cantilever beam with four transverse cracks 16 12 2004 18 01 2006 beams (structures) wave propagation cracks finite element analysis bending elastic waves shear deformation elastodynamics interpolation matrix algebra In order...

... for a flexural plate edge wave was found in Ref. 4 by taking the limit of a wedge with zero internal angle. In Ref. 5 the existence and behavior of these waves is discussed in detail and the same wave speed as in Ref. 3 is obtained. plates (structures) elastic waves beams (structures) bending...

...Jin-Yeon Kim concrete boundary-elements methods elastic waves This discussion intends to make comments on the recent article of Sato et al. ( 1 ) regarding their descriptions of self-consistency conditions for the effective medium in the multiple scattering theory. Equations (13...

... . Gazis , D. C. , 1958 , “ Exact Analysis of Plane-Strain Vibrations of Thick-Walled Hollow Cylinders ,” J. Acoust. Soc. Am. 0001-4966 10.1121/1.1909761 , 30 , pp. 786 – 794 . Biot , M. A. , 1956 , “ Theory of Propagation of Elastic Waves in Fluid-Saturated Porous Solid ,” J...

...Chien-Ching Ma; Genn-Sheng Lee The propagation of transient elastic waves in a three-dimensional multilayered medium subjected to general dynamic loadings is analyzed in this study. One of the objectives of this study is to develop an effective analytical method for determining transient full-field...

... phenomena. 27 05 2004 13 06 2005 composite materials plates (structures) elastodynamics finite element analysis integration Fourier transforms elastic waves Recently, Mal ( 1 ) provided an overview of mechanics-based methods currently used in structural health monitoring (SHM...

...Gang Wang; Xisen Wen; Jihong Wen; Yaozong Liu The propagation of longitudinal elastic waves in quasi one-dimensional structure consisting of harmonic oscillators periodically jointed on a slender beam is studied. Sub-frequency locally resonant band gap with highly asymmetric attenuation is observed...

... procedure to study the multiple scattering of plane elastic waves in concrete containing randomly distributed parallel fibers. In analysis, the concrete matrix is modeled by dispersed aggregate structure. The physical properties for a fiber-reinforced concrete are obtained numerically and shown in graphs...

... incompressible materials. 06 10 2003 11 02 2005 rubber elasticity compressibility deformation internal stresses elastic waves When waves propagate through a prestressed medium, the speed of propagation is stress dependent. This phenomenon, called acoustoelasticity, is the basis...