• Title/Summary/Keyword: elastic medium

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Influence of impulsive line source and non-homogeneity on the propagation of SH-wave in an isotropic medium

  • Kakar, Rajneesh
    • Interaction and multiscale mechanics
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    • v.6 no.3
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    • pp.287-300
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    • 2013
  • In this paper, the effect of impulsive line on the propagation of shear waves in non-homogeneous elastic layer is investigated. The rigidity and density in the intermediate layer is assumed to vary quadratic as functions of depth. The dispersion equation is obtained by using the Fourier transform and Green's function technique. The study ends with the mathematical calculations for transmitted wave in the layer. These equations are in complete agreement with the classical results when the non-homogeneity parameters are neglected. Various curves are plotted to show the effects of non-homogeneities on shear waves in the intermediate layer.

Interactions of Wave and Poro-elastic Seabed under Uniform Current (일정 흐름장에서의 파랑과 다공질 탄성 해저지반의 상호작용)

  • Kim Beom-yeong;Lee Gil-Seong;Park U-Seon
    • Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
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    • 1997.10a
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    • pp.45-52
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    • 1997
  • Ocean seabed is usually covered with various types of marine soils. A marine soil is a mixture of two phases: soil particles that forms an interlocking skeletal frame, pore fluids that occupy a major portion of pore space. When gravity water waves propagate over a porous movable seabed, a hydrodynamic pressure on the fluid-seabed interface and fluid flow in the porous medium are induced. (omitted)

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Characterization of Flaws in the Elastic Medium by Time Domain Born Approximation (시간 정의구역 Born 근사에 의한 탄성매질에서의 결함에 관한 연구)

  • Yi, J.Y.;Lee, S.K.;Lee, J.O.;Kim, Y.H.
    • Journal of the Korean Society for Nondestructive Testing
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    • v.3 no.1
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    • pp.5-11
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    • 1983
  • The impulse response function are studied using time domain Born approximation in two cases; firstly when the material parameters of a flaw are constant, secondly when the parameters are varying with positions. From the impulse response functions, characteristics can be learned about a flaw with high symmetry.

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ON COMPLEX VARIABLE METHOD IN FINITE ELASTICITY

  • Akinola, Ade
    • Journal of applied mathematics & informatics
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    • v.12 no.1_2
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    • pp.183-198
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    • 2003
  • We highlight the alternative presentation of the Cauchy-Riemann conditions for the analyticity of a complex variable function and consider plane equilibrium problem for an elastic transversely isotropic layer, in finite deformation. We state the fundamental problems and consider traction boundary value problem, as an example of fundamental problem-one. A simple solution of“Lame's problem”for an infinite layer is obtained. The profile of the deformed contour is given; and this depends on the order of the term used in the power series specification for the complex potential and on the material constants of the medium.

Electro-magneto-thermoelastic surface waves in non-homogeneous orthotropic granular half space

  • Kakar, Rajneesh;Kakar, Shikha
    • Geomechanics and Engineering
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    • v.7 no.1
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    • pp.1-36
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    • 2014
  • The effect of various parameters on the propagation of surface waves in electro-magneto thermoelastic orthotropic granular non-homogeneous medium subjected to gravity and initial compression has been studied. All material coefficients are obeyed the same exponent-law dependence on the depth of the granular elastic half space. Some special cases investigated by earlier researchers have also been deduced. Dispersion curves are computed numerically and presented graphically.

Elastic Modulus of Magnetic Fluids Evaluated by Ultrasonic Test (초음파 시험에 의한 자기유체의 탄성율 산정)

  • Kim, Jong-Hee;Kim, Kun-Woo;Kim, Cheol-Gi;Lee, Seung-Goo;Koo, Man-Hoi
    • Korean Journal of Materials Research
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    • v.22 no.3
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    • pp.136-139
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    • 2012
  • Magnetic nanoparticles for ferromagnetic fluids and magnetorheological fluids were prepared by chemical coprecipitation and mechanical milling, respectively. The surface-treated particles were dispersed at various weight ratios into a medium of polyethylene glycol. In order to evaluate the elastic modulus of the fluids, ultrasonic pulse velocities were measured with an ultrasonic test using transducers of 5MHz and 2.25MHz. The ultrasonic signals were only available with a transducer of 2.25 MHz at fluid concentrations of 5 mg/ml and lower. In the case of applying transducers over 2.25 MHz and concentrations over 5 mg/ml to the fluids, it was impossible to observe effective ultrasonic signals due to an excessive scattering of the pulses by the dispersed particles. Elastic moduli of the magnetorheological fluids were 5.44 GPa and 6.13 GPa with concentrations of 25 mg/ml and 50 mg/ml, respectively; these values were higher by 40% than the values of 4.04 GPa and 4.28 GPa of ferromagnetic fluids at the same concentrations. As for the effect of an external magnetic field on these dilute fluids, the ultrasonic signals were positioned in a very similar way, which was probably due to insufficient arrangement of the particles even though the reflection energy of the ultrasonic waves apparently increased.

Influence of porosity distribution on vibration analysis of GPLs-reinforcement sectorial plate

  • Jia, Anqiang;Liu, Haiyan;Ren, Lijian;Yun, Yingxia;Tahouneh, Vahid
    • Steel and Composite Structures
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    • v.35 no.1
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    • pp.111-127
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    • 2020
  • The goal of this study is to fill this apparent gap in the area about investigating the effect of porosity distributions on vibrational behavior of FG sectorial plates resting on a two-parameter elastic foundation. The response of the elastic medium is formulated by the Winkler/Pasternak model. The internal pores and graphene platelets (GPLs) are distributed in the matrix either uniformly or non-uniformly according to three different patterns. The model is proposed with material parameters varying in the thickness of plate to achieve graded distributions in both porosity and nanofillers. The elastic modulus of the nanocomposite is obtained by using Halpin-Tsai micromechanics model. The annular sector plate is assumed to be simply supported in the radial edges while any arbitrary boundary conditions are applied to the other two circular edges including simply supported, clamped and free. The 2-D differential quadrature method as an efficient and accurate numerical approach is used to discretize the governing equations and to implement the boundary conditions. The convergence of the method is demonstrated and to validate the results, comparisons are made between the present results and those reported by well-known references for special cases treated before, have confirmed accuracy and efficiency of the present approach. It is observed that the maximum vibration frequency obtained in the case of symmetric porosity and GPL distribution, while the minimum vibration frequency is obtained using uniform porosity distribution. Results show that for better understanding of mechanical behavior of nanocomposite plates, it is crucial to consider porosities inside the material structure.

Hydro-elastic analysis of marine propellers based on a BEM-FEM coupled FSI algorithm

  • Lee, Hyoungsuk;Song, Min-Churl;Suh, Jung-Chun;Chang, Bong-Jun
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.6 no.3
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    • pp.562-577
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    • 2014
  • A reliable steady/transient hydro-elastic analysis is developed for flexible (composite) marine propeller blade design which deforms according to its environmental load (ship speed, revolution speed, wake distribution, etc.) Hydro-elastic analysis based on CFD and FEM has been widely used in the engineering field because of its accurate results however it takes large computation time to apply early propeller design stage. Therefore the analysis based on a boundary element method-Finite Element Method (BEM-FEM) Fluid-Structure Interaction (FSI) is introduced for computational efficiency and accuracy. The steady FSI analysis, and its application to reverse engineering, is designed for use regarding optimum geometry and ply stack design. A time domain two-way coupled transient FSI analysis is developed by considering the hydrodynamic damping ffects of added mass due to fluid around the propeller blade. The analysis makes possible to evaluate blade strength and also enable to do risk assessment by estimating the change in performance and the deformation depending on blade position in the ship's wake. To validate this hydro-elastic analysis methodology, published model test results of P5479 and P5475 are applied to verify the steady and the transient FSI analysis, respectively. As the results, the proposed steady and unsteady analysis methodology gives sufficient accuracy to apply flexible marine propeller design.

Bending analysis of nano-SiO2 reinforced concrete slabs resting on elastic foundation

  • Mohammed, Chatbi;Baghdad, Krour;Mohamed A., Benatta;Zouaoui R., Harrat;Sofiane, Amziane;Mohamed Bachir, Bouiadjra
    • Structural Engineering and Mechanics
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    • v.84 no.5
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    • pp.685-697
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    • 2022
  • Nanotechnology has become one of the interesting technique used in material science and engineering. However, it is low used in civil engineering structures. The purpose of the present study is to investigate the static behavior of concrete plates reinforced with silica-nanoparticles. Due to agglomeration effect of silica-nanoparticles in concrete, Voigt's model is used for obtaining the equivalent nano-composite properties. Furthermore, the plate is simulated mathematically with higher order shear deformation theory. For a large use of this study, the concrete plate is assumed resting on a Pasternak elastic foundation, including a shear layer, and Winkler spring interconnected with a Kerr foundation. Using the principle of virtual work, the equilibrium equations are derived and by the mean of Hamilton's principle the energy equations are obtained. Finally, based on Navier's technique, closed-form solutions of simply supported plates have been obtained. Numerical results are presented considering the effect of different parameters such as volume percent of SiO2 nanoparticles, mechanical loads, geometrical parameters, soil medium, on the static behavior of the plate. The most findings of this work indicate that the use of an optimum amount of SiO2 nanoparticles on concretes increases better mechanical behavior. In addition, the elastic foundation has a significant impact on the bending of concrete slabs.

Insertion loss by bubble layer surrounding a spherical elastic shell submerged in water (수중의 구형 탄성 몰수체를 둘러싼 기포층에 의한 삽입손실)

  • Lee, Keunhwa;Lee, Cheolwon;Park, Cheolsoo
    • The Journal of the Acoustical Society of Korea
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    • v.41 no.2
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    • pp.174-183
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    • 2022
  • Acoustic radiation from a submerged elastic shell with an internal fluid surrounded by the bubble layer is studied with the modal theory. An omni-directional point source located on the center of the internal fluid is used as acoustic noise source. The unknown coefficients of modal solutions are solved using the interface conditions between media. To preserve the stability of the modal solution over wide frequency ranges, the scaled technique of modal solution is used. The bubble layer is modeled with four kinds of bubble distribution; uni-modal distribution, uniform distribution, normal distribution, and power-law distribution, based on the effective medium theory of Commander and Prosperetti. For each bubble distribution, the insertion losses are mainly calculated for the frequency. In addition, the numerical simulations are performed depending in the bubble void fraction, the material property of elastic shell, and the gap between the bubble layer and the elastic shell.