• Title/Summary/Keyword: half-wave

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An Analysis of Elastic Wave Propagation in Multilayered Media (다층구조물내의 탄성파 전파해석)

  • 김현실
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 1999.04a
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    • pp.143-150
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    • 1999
  • Elastic wave propagation in a multilayered elastic half-plane is studied by using the Cagniard-de Hoop method. After the unknowns are expressed in terms of the reflection and transmission coefficients in the in terms of the reflection and transmission coefficients in the integral-transformed domains they are assmbled to form the global matrix equation. The inverse Laplace transform of each term is done by applying the Cagniard-de Hoop methods. As a numerical example a four-layered half-plane is considered where a point source is applied to the first layer. The method described in the present study can be used in checking other numerical methods such as FDM.

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Magnetic-vortex Dynamic Quasi-crystal Formation in Soft Magnetic Nano-disks

  • Kim, Junhoe;Kim, Sang-Koog
    • Journal of Magnetics
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    • v.22 no.1
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    • pp.29-33
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    • 2017
  • We report a micromagnetic numerical study on different quasi-crystal formations of magnetic vortices in a rich variety of dynamic transient states in soft magnetic nano-disks. Only the application of spin-polarized dc currents to a single magnetic vortex leads to the formation of topological-soliton quasi-crystals composed of different configurations of skyrmions with positive and negative half-integer numbers (magnetic vortices and antivortices). Such topological object formations in soft magnets, not only in the absence of Dzyaloshinskii-Moriya interaction but also without magnetocrystalline anisotropy, are discussed in terms of two different topological charges, the winding number and the skyrmion number. This work offers an insight into the dynamic topological-spin-texture quasi-crystal formations in soft magnets.

Excitation Mechanism of Fluorescent Polycyclic Aromatic Amines and Polycyclic Aromatic Hydrocarbons in Peroxyoxalate Chemiluminescence Reactions

  • Sung Chul Kang;Kang-Jin Kim
    • Bulletin of the Korean Chemical Society
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    • v.11 no.3
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    • pp.224-227
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    • 1990
  • The excitation mechanism of polycyclic aromatic amines (amino-PAHs) and polycyclic aromatic hydrocarbons(PAHs) for the chemiluminescence arising from the reaction between oxalate ester, bis(2,4,6-trichlorophenyl)oxalate (TCPO) or bis(2,4-dinitrophenyl)oxalate (DNPO) and hydrogen peroxide has been studied in terms of the excitation efficiencies to singlet excitation energies and the oxidative half-wave potentials. As a results of the study, the excitations of both amino-PAHs and PAHs appear to involve the charge transfer type of energy transfer. However the chemiluminescence efficiency corrected for fluorescence quantum yield of the amino-PAHs are varied more sensitively to the oxidative half-wave potential than that of PAHs possibly due to the large difference in solvation energy between the compounds and their ions.

Reflection of plane waves from the boundary of a thermo-magneto-electroelastic solid half space

  • Singh, Baljeet;Singh, Aarti
    • Coupled systems mechanics
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    • v.10 no.2
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    • pp.143-159
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    • 2021
  • The theory of generalized thermo-magneto-electroelasticity is employed to obtain the plane wave solutions in an unbounded, homogeneous and transversely isotropic medium. Reflection phenomena of plane waves is considered at a stress free and thermally insulated surface. For incidence of a plane wave, the expressions of reflection coefficients and energy ratios for reflected waves are derived. To explore the characteristics of reflection coefficients and energy ratios, a quantitative example is set up. The half-space of the thermo-magneto-electroelastic medium is assumed to be made out of lithium niobate. The dependence of reflection coefficients and energy ratios on the angle of incidence is illustrated graphically for different values of electric, magnetic and thermal parameters.

Influence of gravity, locality, and rotation on thermoelastic half-space via dual model

  • Samia M. Said
    • Structural Engineering and Mechanics
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    • v.89 no.4
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    • pp.375-381
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    • 2024
  • In this paper, Eringen's nonlocal thermoelasticity is constructed to study wave propagation in a rotating two-temperature thermoelastic half-space. The problem is applied in the context of the dual-phase-lag (Dual) model, coupled theory (CD), and Lord-Shulman (L-S) theory. Using suitable non-dimensional fields, the harmonic wave analysis is used to solve the problem. Comparisons are carried with the numerical values predicted in the absence and presence of the gravity field, a nonlocal parameter as well as rotation. The present study is valuable for the analysis of nonlocal thermoelastic problems under the influence of the gravity field, mechanical force, and rotation.

A novel of rotating nonlocal thermoelastic half-space with temperature-dependent properties and inclined load using the dual model

  • Samia M. Said
    • Structural Engineering and Mechanics
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    • v.90 no.5
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    • pp.459-466
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    • 2024
  • Eringen's nonlocal thermoelasticity theory is used to study wave propagations in a rotating two-temperature thermoelastic half-space with temperature-dependent properties. Using suitable non-dimensional variables, the harmonic wave analysis is used to convert the partial differential equations to ordinary differential equations solving the problem. The modulus of elasticity is given as a linear function of the reference temperature. MATLAB software is used for numerical calculations. Comparisons are carried out with the results in the context of the dual-phase lag model for different values of rotation, a nonlocal parameter, an inclined load, and an empirical material constant. The distributions of physical fields showed that the nonlocal parameter, rotation, and inclined load have great effects. When a nonlocal thermoelastic media is swapped out for a thermoelastic one, this approach still holds true.

Torsional waves in fluid saturated porous layer clamped between two anisotropic media

  • Gupta, Shishir;Kundu, Santimoy;Pati, Prasenjit;Ahmed, Mostaid
    • Geomechanics and Engineering
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    • v.15 no.1
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    • pp.645-657
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    • 2018
  • The paper aims to analyze the behaviour of torsional type surface waves propagating through fluid saturated inhomogeneous porous media clamped between two inhomogeneous anisotropic media. We considered three types of inhomogeneities in upper anisotropic layer which varies exponentially, quadratically and hyperbolically with depth. The anisotropic half space inhomogeneity varies linearly with depth and intermediate layer is taken as inhomogeneous fluid saturated porous media with sinusoidal variation. Following Biot, the dispersion equation has been derived in a closed form which contains Whittaker's function and its derivative, for approximate result that have been expanded asymptotically up to second term. Possible particular cases have been established which are in perfect agreement with standard results and observe that when one of the upper layer vanishes and other layer is homogeneous isotropic over a homogeneous half space, the velocity of torsional type surface waves coincides with that of classical Love type wave. Comparative study has been made to identify the effects of various dimensionless parameters viz. inhomogeneity parameters, anisotropy parameters, porosity parameter, and initial stress parameters on the torsional wave propagation by means of graphs using MATLAB. The study has its own relevance in connection with the propagation of seismic waves in the earth where fluid saturated poroelastic layer is present.

Computational Soil-Structure Interaction Design via Inverse Problem Formulation for Cone Models

  • Takewaki, Izuru;Fujimoto, Hiroshi;Uetani, Koji
    • Computational Structural Engineering : An International Journal
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    • v.2 no.1
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    • pp.33-42
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    • 2002
  • A computationally efficient stiffness design method for building structures is proposed in which dynamic soil-structure interaction based on the wave-propagation theory is taken into account. A sway-rocking shear building model with appropriate ground impedances derived from the cone models due to Meek and Wolf (1994) is used as a simplified design model. Two representative models, i.e. a structure on a homogeneous half-space ground and a structure on a soil layer on rigid rock, are considered. Super-structure stiffness satisfying a desired stiffness performance condition are determined via an inverse problem formulation for a prescribed ground-surface response spectrum. It is shown through a simple yet reasonably accurate model that the ground conditions, e.g. homogeneous half-space or soil layer on rigid rock (frequency-dependence of impedance functions), ground properties (shear wave velocity), depth of surface ground, have extensive influence on the super-structure design.

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Generalized Rayleigh wave propagation in a covered half-space with liquid upper layer

  • Negin, Masoud
    • Structural Engineering and Mechanics
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    • v.56 no.3
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    • pp.491-506
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    • 2015
  • Propagation of the generalized Rayleigh waves in an initially stressed elastic half-space covered by an elastic layer is investigated. It is assumed that the initial stresses are caused by the uniformly distributed normal compressional forces acting on the face surface of the covering layer. Two different cases where the compressional forces are "dead" and "follower" forces are considered. Three-dimensional linearized theory of elastic waves in initially stressed bodies in plane-strain state is employed and the elasticity relations of the materials of the constituents are described through the Murnaghan potential where the influence of the third order elastic constants is taken into consideration. The dispersion equation is derived and an algorithm is developed for numerical solution to this equation. Numerical results for the dispersion of the generalized Rayleigh waves on the influence of the initial stresses and on the influence of the character of the external compressional forces are presented and discussed. These investigations provide some theoretical foundations for study of the near-surface waves propagating in layered mechanical systems with a liquid upper layer, study of the structure of the soil of the bottom of the oceans or of the seas and study of the behavior of seismic surface waves propagating under the bottom of the oceans.

NUMERICAL ANALYSIS OF WAVE FORCES USING BOUNDARY ELEMENT METHOD (경계요소법을 이용한 파역의 수치해석)

  • 김성덕;이상배
    • Water for future
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    • v.20 no.4
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    • pp.249-256
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    • 1987
  • Wave forces on fixed two-dimensional objects submerged in water of finite depth were analysed by Boundary Element Method using linear elements.It is assumed that the wave forces may be described by linear theory and that incident wave direction is normal to the objects of infinite length. In this paper, wave forces on a bottom-seated half cross section pipeline, a circular pipeline, a submerged pipeline and submerged breakwater of arbitrary shape were studied. The accuracy of the computational scheme is investigated by comparing the numerical results with the existing laboratory results and analytical solutions of other researchers.

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