... 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...

... reinforced composites carbon fibre reinforced plastics elastic waves finite element analysis Lagrangian field theory Mach number nickel alloys shock waves Although empirical relations for underwater explosion phenomena are well-established for rigid marine structures, the scaling relations...

... 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...

... used point load. Efficient numerical algorithms based on fast evaluation of various integral transformations and their inversions are developed and validated through numerical example. 26 11 2007 26 01 2009 21 04 2009 dynamic response elastic waves inhomogeneous media...

... are criticized: They do not take proper account of the interface between the two half-spaces. 12 11 2007 10 03 2008 10 03 2009 differential equations elastic waves We are now ready to enforce the interface conditions. Continuity of ϕ n across x = 0 gives 1...

.... H. , 2005 , “ Transient Response of a Beam on Viscoelastic Foundation Under Impact Loads During Nondestructive Testing ,” Journal of Earthquake Engineering and Engineering Vibration , 4 ( 2 ), pp. 325 – 333 . Thomson , W. T. , 1950 , “ Transmission of Elastic Waves Through...

... 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...

... deformation elastic waves lattice dynamics topology wave propagation Recently, Fleck and Qiu ( 1 ) observed elastic boundary layers near the free edge of three isotropic lattices: the regular fully triangulated lattice, the semiregular Kagome lattice, and the regular hexagonal lattice as shown...

... on transient wave propagation analysis of composite structures. approximation theory elastic waves finite element analysis laminates partial differential equations plates (structures) time-frequency analysis wave propagation wavelet transforms 25 07 2006 03 05 2007 16 01 2008...

... 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. 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 to improve the safety, reliability, and operational life, it is an urgent task...

... for identifying the elastic properties of the rib. plates (structures) elastic waves beams (structures) bending elasticity inverse problems In Fig. 2 the condition for the existence of localized bending waves in an isotropic rib reinforced plate for various plate thicknesses is shown. Poission’s...

... that subscript denoting the wave mode is suppressed for brevity. concrete boundary-elements methods elastic waves In the article by Sato et al. ( 1 ), several logical and conceptual problems are found (Eqs. (16)–(19)). For example, it is obvious that Eq. (16) is just a sufficient condition to Eqs...

... vibrations elastic waves Waves propagating around the circumference of a poroelastic circular cylinder are known as circumferential waves. The free vibrations of a solid cylinder of an elastic material are given by Love ( 1 ). Gazis ( 2 ) studied the free vibrations of an infinite thick-walled...

...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...

... computational efficiency. composite materials plates (structures) elastodynamics finite element analysis integration Fourier transforms elastic waves 27 05 2004 13 06 2005 2006 American Society of Mechanical Engineers ...

...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...