elastic wave propagation in solids

... arguments, which define which part of elements will be !involved in calculation. integer, intent(in) :: end_point ! trigger point is within the 1000 points before end_point integer, intent(in) :: c !which ... studies on stress wave propagation in cellular structures. 4.1 Theoretical Analysis of Wave Propagation in a Circular Ring To investigate the propagation of elastic waves in a circular ring with a rectangular ... Effect of ring material properties on wave propagation Aluminium alloy and brass rings were tested. To determine the effect of material properties on stress wave propagation in rings system, wave

Ngày tải lên: 05/10/2015, 19:03

... wave propagation in solids Wave Motion 2004, 40, 263–276 Xiao, S A lattice Boltzmann method for shock wave propagation in solids Communications in Numerical Methods in Engineering 2007, 23, 71–84 ... the propagation of shock waves in fluids [5, 6]; recently, it has been adopted to simulate traveling stress waves in solids [7] Noteworthy results have been obtained in [8] through a coupling ... stress waves propagating along homogeneous and composite rods Keywords: flux-corrected transport algorithm; composite dynamics; shock waves Introduction The propagation of waves in elastic solids

Ngày tải lên: 19/11/2022, 11:36

... radio engineering tools to model the electromagnetic propagation in tunnels for radio planning and network tuning. In this article, we propose an original method based on a Ray Launching method ... radio wave propagation in straight tunnels with an arch-shaped cross section and in curved tunnels with a rectangular cross section. The method is based on a Ray Launching technique combining ... results in a curved rectangular tunnel is then performed in Section 6. Finally, Section 7 concludes the article and gives some perspectives. 2. Existing studies on radio wave propagation in curved

Ngày tải lên: 20/06/2014, 04:20

... Seismic Modeling and Wave Propagation ew vi Area of Expertise: Re Keywords: Page of 58 The Decomposed Element-Free Galerkin Method Compared with the Finite Difference Method for Elastic Wave Propagation ... element-free Galerkin method (DEFGM) as a modified scheme to resolve shortcomings of memory usage in element-free Galerkin methods (EFGM) The DEFGM decomposes the stiffness matrix in EFGMs into individual ... scheme In other words, the DEFGM solves rP Fo elastic wave equation problems by alternately updating the stress-strain relations and the equations of motion as in the staggered-grid finite-difference

Ngày tải lên: 10/01/2023, 11:19

... words: Rayleigh waves, Wave speed, Surface waves, Orthotropy Introduction Recently, there has been considerable interest in obtaining explicit formulas for the Rayleigh wave speed in an elastic half-space ... 10.1007/s11012-005-1603-6 © Springer 2005 On the Rayleigh Wave Speed in Orthotropic Elastic Solids PHAM CHI VINH and R W OGDEN1,∗ Faculty of Mathematics, Mechanics and Informatics, Hanoi National ... Further, in a recent paper [9] we have obtained explicit formulas for the Rayleigh wave speed in compressible orthotropic elastic solids One of the formulas is analogous to that of Malischewsky in

Ngày tải lên: 16/12/2017, 14:36

... Rayleigh waves propagating in a uniformly prestrained elastic half-space subject to an isotropic internal constraint The wave propagation direction is one of the principal axes of prestrain Since ... Rayleigh wave on k in the interval (0.6, 2) The elastic material is incompressible, its strain-energy function is given by (83), k3 ¼ 286 P.C Vinh, P.T Ha Giang / International Journal of Engineering ... anisotropic elastic materials, Int J Solids Struct 39 (2002) 5427–5445 R.W Ogden, P.C Vinh, On Rayleigh waves in incompressible orthotropic elastic solids, J Acoust Soc Am 115 (2) (2004) 530–533 P.C Vinh,

Ngày tải lên: 16/12/2017, 00:25

... discreasingly monotonous in the interval (tmax, tmin), so in (0, tmin) by Eq (41), it deduces that F(t) b ∀ t ∈ (0, tmin] As F(t) is strictly increasingly monotonous in the intervals (tmin, + ∞), ... pre-strains They are no longer applicable when pre-strains in materials are not small enough Recently, formulas for the velocity of Rayleigh wave propagating in pre-strained isotropic elastic solids ... (72) Taking λ1 = we obtain from Eq (77) the exact value, denoted by xr0, of the dimensionless squared velocity of Rayleigh waves propagating in incompressible elastic solids (without pre-strains),

Ngày tải lên: 16/12/2017, 02:34

... of elastic wave scattering within heterogeneous media J Acoust Soc Am 140, (2016); 10.1121/1.4971383 Finite element modelling of elastic wave scattering within a polycrystalline material in two ... propagating elastic waves in these materials exhibit small FIG 12 (Color online) Normalised attenuation coefficient versus normalised frequency for a longitudinal wave in polycrystalline Inconel ... Mason and McSkimin1 discovered a fourth order frequency dependence for the scattering induced attenuation in polycrystalline aluminum, therefore termed Rayleigh scattering in the long-wavelength regime

Ngày tải lên: 04/12/2022, 10:31

... lost wave energy is transformed into turbulence energy. At the beginning of the wave breaking process, the turbulence is confinedintoa small portion ofthebreaking wave ... simulate the wave transformation, including wave breaking, wave runup on the beach, and turbulence generated by  wave breaking and shear. As the model is a depth‐integrated, two‐dimensionalinthehorizontaldirections, the ... the nearshore wave dynamics, including wave breaking and wave runup, the generation, transportanddissipationofTKE. 2. Governing equations of the numerical modelfornearshorewavedynamics In

Ngày tải lên: 28/03/2014, 15:20

... zero in the circumstance of linearity (TM waves). We begin from the linear wave solution that has been given section 3 to look for the nonlinear wave solution in AF layers. In the case of linearity, ... of NL H  included in wave equanion (4-1). For the linear surface wave propagating along the x-axis and the linear bulk waves moving in the x-y plane, / 0 z. Thus the wave equation is rewritten ... n is increased, so only for small n, the nonlinear 81 Nonlinear Propagation of Electromagnetic Waves in Antiferromagnet effect is important In addition, increasing  and decreasing...

Ngày tải lên: 19/06/2014, 21:20

... zero or an imaginary number. In this situation, the backward wave as the reflection wave is the most intense and equal in intensity to the forward wave. The interference of the two waves at the ... /air shown in Fig.13. Incident wave I and reflective wave R are in the SiO 2 medium and transmission wave T in air. The maximum peak of R S is between the two resonant frequencies and in the ... forward and backward waves satisfies 2k     (k is an integer) at Nonlinear Propagation of Electromagnetic Waves in Antiferromagnet 91 the surface, the interference results in the peaks of

Ngày tải lên: 19/06/2014, 21:20

... Waves Propagation in Complex Matter 3 FTDT modeling of maxwell’s equations Finite... chapter will explain fundamentals of the numerical modeling of EM wave propagation and scattering ... sampling or indirect sampling such as negative ion sensor) and use of in situ tracers (e.g., PITT, or partitioning interwell tracer test), excavating test pits, and groundwater profiling Most invasive ... modeling approach to Maxwell's equations using a finite difference time domain (FDTD) solution with both monopole and dipole antennae to simulate the scattering and propagation of EM waves in

Ngày tải lên: 19/06/2014, 21:20

... For example, in a non-dispersive medium, linear enlargement of the size can be simply interpreted to a linear increase in the wavelength and decrease in the frequency. However, in a dispersive ... Electromagnetic Waves in Contaminated Soils (b) (c) 140 Electromagnetic Waves Propagation in Complex Matter (d) (e) 141 Electromagnetic Waves in Contaminated Soils (f) Fig ... the pool to examine the possibility of minimizing the destructive effect of placing the receiving... transmitting and receiving antennae, which is automatically calculated using the abovementioned

Ngày tải lên: 19/06/2014, 21:20

... EFE Since Einstein’s success in. .. College, Providence Rhode Island USA 1 Introduction We extend Einstein’s General Relativity in two ways: (1) Einstein Field Equations ("EFE") explain gravity ... reflection GPR. In addition, the strong reflecting air-soil interface in the Electromagnetic Waves Propagation in Complex Matter 150 surface-reflection GPR technique is eliminated in the CWR ... monitoring petroleum product contaminants. Proceedings of SAGEEP (Symposium of the Applications of Geophysics to Engineering and Environmental Problems) , Society of Engineering Mine Exploration,

Ngày tải lên: 19/06/2014, 21:20

... emerged in M [ 1 ] with their accompanied electromagnetic waves existing in B. Any energy entity j in M [ 1 ] is a particle resulting from a superposition of electromagnetic waves in B and the combined ... j is a single electromagnetic wave) and engages in gravitational forces with  E [ 1 ] k | k ∈ N − { j }  ; in addition, E [ 1 ] j may engage in 174 Electromagnetic Waves Propagation in Complex ... "particle wave" was exactly used in Feynman [ 15 ] , "ghost wave - - Gespensterfelder" by Einstein [ 28, p. 287-288 ] , and "pilot wave" by de Broglie). Particles in M [

Ngày tải lên: 19/06/2014, 21:20

... profiling of the field intensity involves three steps: wavefronts separation; interpolation of the ray comb belonging to the same wavefront; coherent addition of the wavefronts themselves. 3.1 Wave ... simple refractive index profiles (Du Castel, 1966; Livingston, 1970). At that time, scientists were interested in statistics of fading, distinguishing between fast or slow fading and the typical ... image of figure 6 shows the rays pertaining to the 30 wavefronts that results from the ray tracing process. The first step consists in grouping rays in different wave fronts, each characterized

Ngày tải lên: 19/06/2014, 21:20

... Graphics Hardware, In: Wave Propagation in Materials for Modern Applications , Andrey Petrin, pp. 103-122, Intech, Vienna, Austria Rokhlin, V. (1985). Rapid Solution of Integral Equations ... obtained by solving the TEM mode wave equation with the boundary condition at the center and its ends of a line antenna We try to understand the meaning of the input impedance by setting M = 0 In ... electromagnetism We introduce i-th current and i-th charge by integrating j and q over the cross section of each transmission-line at a space-time position x, t taking into account the skin effect in the

Ngày tải lên: 19/06/2014, 21:20

... radio engineering tools to model the electromagnetic propagation in tunnels for radio planning and network tuning. In this article, we propose an original method based on a Ray Launching method ... simulation is presented in Figure 7. First step consists in extracting fast fading by using a running mean. The window’s length is 40 λ on the first 50 m, and 100 λ elsewhere , according to the literature ... first intuitive approach consists in a tessellation of the curved geometry into multiple planar facets, as proposed in [10]. However, the surfaces’ curvature is not taken into account in this kind...

Ngày tải lên: 18/06/2014, 22:20

... using human defined symbols, operators, and languages. One of such fascinating examples is the Maxwell’s equations for electromagnetic waves. Having a good understanding of waves and wave propagation ... Chapter 1 Shear Wave Propagation in Soft Tissue and Ultrasound Vibrometry 1 Yi Zheng, Xin Chen, Aiping Yao, Haoming Lin, Yuanyuan Shen, Ying Zhu, Minhua Lu, Tianfu Wang and Siping Chen Chapter ... of shear wave having E = 7.5 kpa and η = 6 pa.s in Voigt tissue Figure 5. Zener model adds an elastic spring E1 to the Maxwell model (η, E2) in parallel. Shear Wave Propagation in Soft Tissue...

Ngày tải lên: 15/03/2014, 23:20