• Title/Summary/Keyword: Elastic Constant

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Growth of $LiNbO_3$ single crystals and evaluation of the dependence of its piezoelectric properties on temperature ($LiNbO_3$단결정 성장 및 온도에 따른 압전 특성 평가)

  • 정화구;김병국;강길영;윤종규
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.6 no.2
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    • pp.155-165
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    • 1996
  • Growth of $LiNbO_3$ single crystal by Czochralski method was carried out to study the piezoelectric effects. Piezoelectric coefficients and elastic compliances of the $LiNbO_3$ single crystal were determined by the resonance method of length-extentional mode of bar resonator from the room temperature up to $100^{\circ}C$. Two dielectric constants of $LiNbO_3$ were also determined by measuring the capacitance of the plate specimen. Measured constants were piezoelectric coefficients $d_{15},d_{22},d_{31},d_{33}$ elastic compliances $s^E_{11},s^E_{33},2s^E_{13}+2s^E_{44},s^E_{14}$ and dielectric constants $K^T_{11},K^T_{33}$. As temperature increased, elastic compliances changed very slowly while piezoelectric coeffiecients and dielectric constant $K^T_{33}$ changed very rapidly. Electromechanical coupling constant of zyw ($45^{\circ}C$)-bar was as high as 0.51 in room temperature and nearly constant up to $1000^{\circ}C$. The increase of piezoelectric coefficients was mainly due to the increase of dielectric permittivity.

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Numerical Analysis of Effective Elastic Constants of Bone-Like Biocomposites (뼈와 유사한 생체복합재료의 유효탄성계수에 대한 수치해석)

  • Lee, Do-Ryun;Beom, Hyeon-Gyu
    • Journal of the Korean Society for Precision Engineering
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    • v.28 no.11
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    • pp.1288-1296
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    • 2011
  • Effective elastic constants of bone-like biocomposites are investigated numerically. The bone-like materials are composed of strong layers and weak layers, and hierarchically structured. The unit cell model is employed to obtain the effective elastic constants. The effective anisotropic elastic constants of bone-like composites are obtained by using the potential energy method and finite element analysis. The effects of the Poisson's ratio, elastic modulus, hierarchical level, volume fraction and aspect ratio of the strong layer composed of the composites on the effective elastic constants are discussed.

Dynamic behavior of moving Elastic Body System on Simple Beam with Axial Load (축하중을 고려한 단순보상의 이동탄성계의 진동해석)

  • 김영수
    • Journal of Ocean Engineering and Technology
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    • v.14 no.1
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    • pp.67-73
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    • 2000
  • The dynamic behavior of a moving elastic body system with three constant velocitics on a simple beam with an axial load is analyzed by numerical method. A moving elastic body system is composed of an elastic body and a suspension unit with two unsprung masses. The governing equations are derived with an aid of Lagrange's equation. These equation are solved by Runge-Kutta method. The damping coefficients a spring constants of the suspension unit the force circular frequency on a moving elastic body the velocity of a moving elastic body system. These effects are more important in the high modes of a simple beam.

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An Automated System for Constant ${\Delta}K_{eff}$ Fatigue Crack Growth Testing through Real-time Measurement of Crack Opening Load (${\Delta}K_{eff}$ 제어 피로 균열 진전 시험 자동화 시스템에 관한 연구)

  • Shin, Sung-Chul;Song, Ji-Ho
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.447-452
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    • 2001
  • An automated system is developed to perform fatigue crack growth tests under constant effective stress intensity factor range ${\Delta}K_{eff}$. In the system, crack length and crack opening load are measured in real-time by using the unloading elastic compliance method. The system consists of two personal computers, an analogue electrical subtraction circuit, a stepping motor, a stepping motor driver, a PIO board, and the application software used to integrate the whole system. The performance of the developed system was tested and discussed performing constant ${\Delta}K_{eff}$ crack growth tests on a CT specimen of 7075-T6 aluminum alloy. The performance of the system is found to be strongly dependent on the accuracy of measurements of crack opening load. Besides constant ${\Delta}K_{eff}$ testing, the system is expected to be successfully applied for automation of various fatigue tests.

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ON POSITIVENESS AND CONTRACTIVENESS OF THE INTEGRAL OPERATOR ARISING FROM THE BEAM DEFLECTION PROBLEM ON ELASTIC FOUNDATION

  • CHOI, SUNG WOO
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.4
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    • pp.1225-1240
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    • 2015
  • We provide a complete proof that there are no eigenvalues of the integral operator ${\mathcal{K}}_l$ outside the interval (0, 1/k). ${\mathcal{K}}_l$ arises naturally from the deflection problem of a beam with length 2l resting horizontally on an elastic foundation with spring constant k, while some vertical load is applied to the beam.

Analytical solution of stress-strain relationship of modified Cam clay in undrained shear

  • Silvestri, Vincenzo;Abou-Samra, Ghassan
    • Geomechanics and Engineering
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    • v.1 no.4
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    • pp.263-274
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    • 2009
  • The modified Cam clay (MCC) model is used to study the response of virgin compressed clay in undrained compression. The MCC deviatoric stress-strain relationship is obtained in closed form. Elastic and plastic deviatoric strains are taken into account in the analysis. For the determination of the elastic strain components, both a variable shear modulus and constant shear modulus are considered. Constitutive relationships are applied to the well-known London and Weald clays sheared in undrained compression.

Pyroelectric and pyromagnetic effects on behavior of magneto-electro-elastic plate

  • Kondaiah, P.;Shankar, K.;Ganesan, N.
    • Coupled systems mechanics
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    • v.2 no.1
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    • pp.1-22
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    • 2013
  • Under thermal environment, Magneto-Electro-Elastic (MEE) material exhibits pyroelectric and pyromagnetic effects which can be used for enhancing the performance of MEE sensors. Recently studies have been published on material constants such as pyroelectric constant and pyromagnetic constant for magneto-electro-thermo-elastic smart composite. Hence, the main aim of this paper is to study the pyroelectric and pyromagnetic effects on behavior of MEE plate under different boundary conditions subjected to uniform temperature. A numerical study is carried out using eight noded brick finite element under uniform temperature rise of 100 K. The study focused on the pyroelectric and pyromagnetic effects on system parameters like displacements, thermal stresses, electric potential, magnetic potential, electric displacements and magnetic flux densities. It is found that, there is a significant increase in electric potential due to the pyroelectric and pyromagnetic effects. These effects are visible on electric and magnetic potentials when CFFC and FCFC boundary conditions are applied. Additionally, the pyroelectric and pyromagnetic effects at free edge is dominant (nearly thrice the value in CFFC in comparison with FCFC) than at middle of the plate. This study is a significant contribution to sensor applications.

Elastic-Plastic Fatigue Crack Growth and J Integral (彈塑性 疲勞균열進展과 J積分)

  • 송지호;김일현;박영조
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.8 no.1
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    • pp.26-33
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    • 1984
  • Constant-load-amplitude fatigue crack growth tests were carried out on 5083-0 aluminum alloy under elastic and elastic-plastic conditions. Crack length, crack closure and monotonic fatigue deformation were measured by Kikukawa's unloading elastic compliance monitoring technique and elastic-plastic fatigue crack growth rates were analysed in terms of J integral. Elastic-plastic fatigue crack growth rates can be well expressed by effective cyclic J integral until general yielding occurs. Beyond general yielding, monotonic fatigue deformation becomes significant and growth rates cannot be characterized by a single parameter of effective cyclic J integral alone. However, introducing one more parameter, maximum J integral J$_{max}$ to account for the effect of monotonic fatigue deformation, can explain fatigue crack growth behavior beyond general yielding.

FLUID-ELASTIC INSTABILITY OF ROTATED SQUARE TUBE ARRAY IN AN AIR-WATER TWO-PHASE CROSSFLOW

  • CHUNG HEUNG JUNE;CHU IN-CHEOL
    • Nuclear Engineering and Technology
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    • v.38 no.1
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    • pp.69-80
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    • 2006
  • Fluid-elastic instability in an air-water two-phase cross-flow has been experimentally investigated using two different arrays of straight tube bundles: normal square (NS) array and rotated square (RS) array tube bundles with the same pitch-to-diameter ratio of 1.633. Experiments have been performed over wide ranges of mass flux and void fraction. The quantitative tube vibration displacement was measured using a pair of strain gages and the detailed orbit of the tube motion was analyzed from high-speed video recordings. The present study provides the flow pattern, detailed tube vibration response, damping ratio, hydrodynamic mass, and the fluid-elastic instability for each tube bundle. Tube vibration characteristics of the RS array tube bundle in the two-phase flow condition were quite different from those of the NS array tube bundle with respect to the vortex shedding induced vibration and the shape of the oval orbit of the tube motion at the fluid-elastic instability as well as the fluid-elastic instability constant.

축변환 구성방정식을 이용한 암석 이방성 탄성계수 산정

  • 김영수;이재호;허노영;박영화;최정호
    • Proceedings of the Korean Geotechical Society Conference
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    • 2000.11a
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    • pp.729-736
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    • 2000
  • For nonhomogeneous and anisotropic rocks such as schist, shale, etc, a method to determine the anisotropic elastic constants was proposed. Many authors have investigated in detail the behavior elastic constants of anisotropy rocks(Pinto 1970, Amadei 1983, 1992, Amadei & Savage 1989). They concluded that equations of elastic constants E$_1$, E$_2$ and G$_2$ can be derived from the measured strains in arbitrary three directions. And, modulus of elasticity varies according to the inclination of discontinuity in specimens. If we attach three strain gages in accordance with the directions of anisotropy on the rock specimen under uni-axial compression and diametral compression tests, anisotropy elastic constants can be determined by these equations. With this method, the degree of anisotropy will be easily evaluated by simple laboratory test. This paper presents the results of elastic constants due to the angle of bedding planes of anisotropic rock, such as shale, in uni-axial compression and diametral compression tests

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