• 제목/요약/키워드: Isotropic Dispersion

검색결과 46건 처리시간 0.023초

Vibration analysis of wave motion in micropolar thermoviscoelastic plate

  • Kumar, Rajneesh;Partap, Geeta
    • Structural Engineering and Mechanics
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    • 제39권6호
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    • pp.861-875
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    • 2011
  • The aim of the present article is to study the micropolar thermoelastic interactions in an infinite Kelvin-Voigt type viscoelastic thermally conducting plate. The coupled dynamic thermoelasticity and generalized theories of thermoelasticity, namely, Lord and Shulman's and Green and Lindsay's are employed by assuming the mechanical behaviour as dynamic to study the problem. The model has been simplified by using Helmholtz decomposition technique and the resulting equations have been solved by using variable separable method to obtain the secular equations in isolated mathematical conditions for homogeneous isotropic micropolar thermo-viscoelastic plate for symmetric and skew-symmetric wave modes. The dispersion curves, attenuation coefficients, amplitudes of stresses and temperature distribution for symmetric and skew-symmetric modes are computed numerically and presented graphically for a magnesium crystal.

Analysis of wave motion in an anisotropic initially stressed fiber-reinforced thermoelastic medium

  • Gupta, Raj Rani;Gupta, Rajani Rani
    • Earthquakes and Structures
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    • 제4권1호
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    • pp.1-10
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    • 2013
  • The present investigation deals with the analysis of wave motion in the layer of an anisotropic, initially stressed, fiber reinforced thermoelastic medium. Secular equations for symmetric and skew-symmetric modes of wave propagation in completely separate terms are derived. The amplitudes of displacements and temperature distribution were also obtained. Finally, the numerical solution was carried out for Cobalt and the dispersion curves, amplitudes of displacements and temperature distribution for symmetric and skew-symmetric wave modes are presented to evince the effect of anisotropy. Some particular cases are also deduced.

Edge wave propagation in an Electro-Magneto-Thermoelastic homogeneous plate subjected to stress

  • Kakar, Rajneesh;Kakar, Shikha
    • Structural Engineering and Mechanics
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    • 제53권6호
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    • pp.1201-1214
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    • 2015
  • This paper introduces the combined effect of electric field, magnetic field and thermal field on edge wave propagating in a homogeneous isotropic prestressed plate of finite thickness and infinite length. The dispersion relation of edge wave has been obtained by using classical dynamical theory of thermoelasticity. The phase velocity has been computed and shown graphically for various initial stress parameter, electro-magneto parameter, electric parameter and thermoelastic coupling parameter.

D상 유화물을 이용한 W/O 유화물의 제조와 특성 (Preparation and Properties of W/O Emulsion by D Phase Emulsification)

  • 김형진;정노희;윤영균;박관선;남기대
    • 한국응용과학기술학회지
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    • 제15권2호
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    • pp.25-32
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    • 1998
  • The emulsion stability of W/O emulsion prepared by D phase emulsification during storage and handling is studied by using phase diagrams. The process of D phase emulsification begins with the formation of isotropic surfactant solution, followed by formation of oil-in-surfactant (O/D) gel emulsion by dispersion of octamethylcyclotetrasiloxane(OMCS) in the surfactant solution. Polyols were essential components for this purpose. To understand the function of polyols, the solution behavior of nonionic surfactant/oil/water/polyol systems were investigated by the ternary phase diagrams of polyoxyethylene oleyl ether/OMCS/propylene glycol(PG) aqueous solutions. The addition of PG increased the solubility of oil in the isotropic surfactant phase. D phase emulsification method has been applied to a new type of cosmetics. By using this emulsification technique, O/W emulsion were formed without a need for adjust of HLB. Fine and stable W/O emulsions were prepared by D phase emulsion.

An Analytical Investigation on the Build-up of the Temperature Field due to a Point Heat Source in Shallow Coastal Water with Oscillatory Alongshore-flow

  • Jung, Kyung-Tae;Kim, Chong-Hak;Jang, Chan-Joo;Lee, Ho-Jin;Kang, Sok-Kuh;Yjm, Ki-Dai
    • Ocean and Polar Research
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    • 제25권1호
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    • pp.63-74
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    • 2003
  • The build-up of the heat field in shallow coastal water due to a point source has been investigated using an analytical solution of a time-integral form derived by extending the solutions by Holley(1969) and also presented in Harleman (1971). The uniform water depth is assumed with non-isotropic turbulent dispersion. The alongshore-flow is assumed to be uni-directional, spatially uniform and oscillatory. Due to the presence of the oscillatory alongshore-flow, the heat build-up occurs in an oscillatory manner, and the excess temperature thereby fluctuates in that course and even in the quasi-steady state. A series of calculations reveal that proper choices of the decay coefficient as well as dispersion coefficients are critical to the reliable prediction of the excess temperature field. The dispersion coefficients determine the absolute values of the excess temperature and characterize the shoreline profile, particularly within the tidal excursion distance, while the decay coefficient determines the absolute value of the excess temperature and the convergence rate to that of the quasi-steady state. Within the e-folding time scale $1/k_d$ (where $k_d$ is the heat decay coefficient), heat build-up occurs more than 90% of the quasi-steady state values in a region within a tidal excursion distance (L), while occurs increasingly less the farther we go to the downstream direction (about 80% at 1.25L, and 70% at 1.5L). Calculations with onshore and offshore discharges indicate that thermal spreading in the direction of the shoreline is reduced as the shoreline constraint which controls the lateral mixing is reduced. The importance of collecting long-term records of in situ meteorological conditions and clarifying the definition of the heat loss coefficient is addressed. Interactive use of analytical and numerical modeling is recommended as a desirable way to obtain a reliable estimate of the far-field excess temperature along with extensive field measurements.

이방성 복합재료 판에서 램파 $S_0$ 모드의 군속도 결정 (The Determination of Group Velocity of Lamb Wave So Mode in Composite Plates with Anisotropy)

  • 이상호;이정기;이정주
    • 비파괴검사학회지
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    • 제26권4호
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    • pp.239-245
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    • 2006
  • 이방성을 지닌 복합재료에서 측정한 군속도와 램파 방정식을 이용하여 계산한 군속도는 서로 일치하지 않는다. 이러한 차이는 이방성 재료에서 군속도 방향과 위상속도 방향이 서로 일치하지 않는 현상에서 기인된 것이다. 본 연구에서는 램파 분산방정식을 이용하여 이방성을 지닌 단일방향, 양방향, 준등방성 복합재료 판에서 $S_0$모드 위상속도곡선을 전파 방향 변화에 따라 구하고, 위상속도의 역수 값으로 구성되는 slowness surface를 이용하여 군속도의 방향과 크기를 결정하였다. 이와 같이 계산된 군속도는 측정한 군속도와 잘 일치함을 확인하였다.

일방향 적층 복합재료 판에서 한 음원에서 발생된 램파의 군속도 (The Group Velocity of Lamb Wave Generated by the one Source in Unidirectional Laminated Composite Plates)

  • 이정기;이상호
    • 한국음향학회지
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    • 제25권3호
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    • pp.107-112
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    • 2006
  • 판재를 따라 전파하는 Lamb wave (램파)는 주파수에 따라 속도가 변하는 분산특성을 갖는다. 일반적으로 등방성 재료에서는 파수 벡터 방향과 에너지 흐름 방향은 같아, 파면이 원형을 유지하면서 전파하지만, 복합재료와 같이 이방성재료에서는 파수 벡터와 에너지 흐름 방향이 서로 다르다. 따라서 이방성 재료에서 하나의 속도에서 다른 속도로 전환하려면 방향을 교정해야 하고 이에 따라 크기도 달라지게 된다. 본 연구에서는 복합재료 판재에서 전파하는 램파 분산방정식을 이용하여 대칭, 비대칭 모드의 분산선도를 작성하였고, 각도에 따라구한 위상속도 분산선도에서 얻어진 위상속도 값으로 slowness surface를 구한 후, 이로부터 군속도의 크기와 방향을 교정하였고, 이를 실험적으로 측정한 속도값과 비교하여 서로 일치함을 확인하였다.

2차원 ADI-FDTD 수치해석에서 이방성 오차의 감소방안 (Reduction Method of Anisotropy Error in Two Dimensional ADI-FDTD Method)

  • 김종성;공기복
    • 대한전자공학회논문지TC
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    • 제44권10호
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    • pp.178-184
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    • 2007
  • 공간상의 전자파 전파에서 모든 각도에서 동일한 전송속도를 갖는 ADI-FDTD 해석방법을 제안한다. 이는 기존의 ADI-FDTD 방법에서 시간 간격의 2차항에 x, y 에 공간 미분이 곱해진 항을 추가하고, 이에 대한 최적의 상수를 구하여 구현 하였다. 새로운 ADI-FDTD 는 CFL 안정도 조건을 초과하는 시간 간격에 대해서도 안정적인 특성을 나타낸다. 이 방법에 대한 분산 관계식을 구한 후 이를 수치적인 결과와 비교하여 제안하는 방법이 기존의 방법에 비해서 나타나는 장점, 즉 등방성 전파 및 수치적 오차의 감소를 수치적 예를 통하여 검증하였다.

연구로용 우라늄-실리사이드 분산 핵연료의 변형모델 (A Deformation Model of Uranium-Silicide Dispersion Fuel for Research Reactor)

  • T. S. Byun;S. K. Suh;W. Hwang
    • Nuclear Engineering and Technology
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    • 제28권2호
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    • pp.150-161
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    • 1996
  • 연구로용 우라늄-실리사이드 분산 핵연료에서의 응력 및 변형율 분포를 계산할 수 있는 변형모델을 개발하였다. 이 변형모델은 탄소성이론 및 지수법칙 크리프이론을 기초로 한 것이며, 또한 등방 핵연료팽윤 및 열팽창을 가정하였다. 개발된 모델을 HANARO 및 카나다의 NRU 핵연료에 적용하여 본 결과 핵연료의 변형을 성공적으로 계산하는 것으로 판단되었다. 계산결과에 따르면, 연구로용 우라늄-실리사이드 분산핵연료가 연소할 때 핵연료심에서 가장 중요한 변형기구는 팽윤이며, 피복관에서 가장 중요한 변형기구는 크리프이다. 또한, 피복관에서 원주방향 최대응력은 항상 5 MPa 이하로서 항복응력보다 훨씬 낮게 유지되었다. 여기서 고려한 두 핵연료설계에 대해서 전 연소도 범위에서 핵연료봉의 부피변화는 10% 이하로 예측되었다.

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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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    • 제15권1호
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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.