• Title/Summary/Keyword: Elastic Constants

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Measurement of elastic constants of single crystal PbMoO_4$ by using brillouin scattering experiment (브릴루앙 산란실험을 이용한 단결정 PbMoO_4$의 탄성계수 측정)

  • 박주일;이석목;유윤식;김성철
    • Korean Journal of Optics and Photonics
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    • v.7 no.4
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    • pp.363-369
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    • 1996
  • We have performed Brillouin scattering experiments to investigate the elastic properties of tetragonal symmetry single crystal $PbMoO_4$ and could determine the value of birefringence as well as the whole elastic constants. As a result, $c_11=111.4{\pm}4.4,$$, $c_12=64.7{\pm}3.4$, $c_44=27.0{\pm}0.8$, $c_13=51.9{\pm}2.5$, $c_33=95.5{\pm}1.9$, $c_66=34.5{\pm}4.6$ and $c_16=15.8{\pm}1.2({\times}10^9N/m^2)$ and $n_o-n_e=0.151{\pm}0.018$.

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An Evaluation of Elastic Aspects of PVC/MBS by An Acoustic Resonance Method (음향공진법을 이용한 PVC/MBS의 탄성적 특성 평가)

  • Lee, D.H.;Bahk, S.M.;Park, M.K.
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.603-608
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    • 2001
  • A certain amount of MBS rubber was added to improve toughness of PVC which has a strong tendency of being brittle, producing a mixture, PVC/MBS, from which test specimens were prepared. PVC has strong chemical resistance, oil resistance, frame retardancy and high mechanical strength. Also, it is relatively inexpensive to produce, but shows weakness to impact and difficult for processing. MBS, a typical toughening agent for PVC is generally known, when added in a small amount, to improve impact resistance and to minimize difficulties during the processing of the PVC without adversely affecting the positive aspects of the PVC. In this investigation, attempts were made to observe and determine the variations in elastic and damping constants of the PVC depending on the amounts of MBS added to the mixture, PVC/MBS, and also on the thicknesses of the specimens. An acoustic resonance technique was used for the tests in this investigation. It serves as a method to characterize properties of materials set in vibrational motions, which is initiated by low level stresses generated by externally supplied acoustic energy. Substantial variations were observed in the test results with the addition of the MBS to the PVC. Generally, the magnitudes of elastic constants decrease while the damping capacity improves when MBS rubber was added.

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Differential cubature method for vibration analysis of embedded FG-CNT-reinforced piezoelectric cylindrical shells subjected to uniform and non-uniform temperature distributions

  • Madani, Hamid;Hosseini, Hadi;Shokravi, Maryam
    • Steel and Composite Structures
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    • v.22 no.4
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    • pp.889-913
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    • 2016
  • Vibration analysis of embedded functionally graded (FG)-carbon nanotubes (CNT)-reinforced piezoelectric cylindrical shell subjected to uniform and non-uniform temperature distributions are presented. The structure is subjected to an applied voltage in thickness direction which operates in control of vibration behavior of system. The CNT reinforcement is either uniformly distributed or functionally graded (FG) along the thickness direction indicated with FGV, FGO and FGX. Effective properties of nano-composite structure are estimated through Mixture low. The surrounding elastic foundation is simulated with spring and shear constants. The material properties of shell and elastic medium constants are assumed temperature-dependent. The motion equations are derived using Hamilton's principle applying first order shear deformation theory (FSDT). Based on differential cubature (DC) method, the frequency of nano-composite structure is obtained for different boundary conditions. A detailed parametric study is conducted to elucidate the influences of external applied voltage, elastic medium type, temperature distribution type, boundary conditions, volume percent and distribution type of CNT are shown on the frequency of system. In addition, the mode shapes of shell for the first and second modes are presented for different boundary conditions. Numerical results indicate that applying negative voltage yields to higher frequency. In addition, FGX distribution of CNT is better than other considered cases.

Evaluation of the Aging Life of the Rubber Pad in Power Window Switch

  • Kang, Yong Kyu;Choi, Byung Ik;Woo, Chang Su;Kim, Wan Doo
    • Elastomers and Composites
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    • v.54 no.4
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    • pp.351-358
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    • 2019
  • To evaluate the aging of a rubber pad in power window switch which is the part of a vehicle, the accelerated thermal aging test of rubber pad material is performed. Finite element analysis was performed using the nonlinear material constants of the rubber pad to calculate the operating force, and the Arrhenius relationship was derived from the aging temperature and time. The aging test was performed at 150, 180, 210, or 240 ℃ for 1 to 60 days. When the operating force of the rubber pad is changed by 10% from the initial value, the service life is expected to be 113 years, which is much longer than the life of the vehicle. This indicates that the aging life of the rubber pad is sufficiently safe and the operating force of the rubber pad during the life of the vehicle (20 years) was decreased by approximately 8.4%. By examining the correlation between the shear elastic modulus and operating force calculated from finite element analysis under each aging test condition, the changes in the operating force of the rubber pad and the shear elastic modulus showed good linear relationship. The aging life could be predicted by the change in shear elastic modulus and a process for predicting the aging life of automotive power window switch rubber pad parts is described herein.

Theoretical Study of d/p Margin

  • Oh, Jun-Sik;Lee, Han-Yong
    • 한국정보디스플레이학회:학술대회논문집
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    • 2000.01a
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    • pp.193-194
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    • 2000
  • We have calculated the d/p boundary values in which the low twist defect and the stripe domain defect can occur with dielectric constants and elastic constants and compared them with experimental data using the compensation factors. We estimated d/p margin for $250^{\circ}$ twist angle without experimental data and investigated qualitatively the reasonability of the behavior.

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Structural Analysis of the Aluminum Extrusion Plate with Truss-Core (트러스 코어 헝상을 갖는 알루미늄 압출재의 구조 해석)

  • 장창두;이병삼;하윤석;김호경;송하철;문형석
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.16 no.2
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    • pp.133-140
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    • 2003
  • The sandwich plate has been widely used as an efficient structural member because it has high strength-to-weight and high stiffness-to-weight ratios. To properly design the aluminum extrusion plate , it is necessary to analyze structural behaviors of the extrusions, however, the aluminum extrusions have been rarely studied until now. In the optimization process through numerous iterative calculations, finite element analysis of the sandwich plate with hollow core section requires a considerable amount of computation time and cost. In this paper, the aluminum extrusion plate with truss-core is transformed into an equivalent homogeneous orthotropic plate with appropriate elastic constants. The procedure to evaluate accurate equivalent elastic constants is also established. Using these elastic constants, simple theoretical formulas of the stresses and deflection are proposed in case of the simply-supported orthotropic thick plate under uniform pressure. Through the comparison with the results by commercial FEM code(ANSYS), it is verified that the proposed simpified formula has a good efficiency and accuracy.

A Study on Variations of mechanical properties of Carbon-epoxy Composites with Thermal Fatigue Cycles or Thermal Shock Cycles (열적 피로 및 충격이 부가된 Carbon-Epoxy 복합재료의 기계적 특성에 관한 연구)

  • Lee, Dong-Sik;Park, Se-Man
    • Korean Journal of Materials Research
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    • v.10 no.5
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    • pp.354-659
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    • 2000
  • Applications of composite materials have been in progress noticeably in manufacturing areas of automotive, aircraft and in other industries, resulting in ensuing research activities. Carbon-epoxy, one of major composite materials, is investigated for its thermal characteristics. Upon treatments of the composite material with repeated heatings and coolings variations of its elastic constants are monitored to reveal the thermal nature of the composite material. In this study, generally, changes in elastic constants are observed to occur mostly during the first 10~20 thermal cycles. Values of G(sub)13 remain almost unchanged except a minor decrease. However in the observed small changes thermal shocks produce less effect than thermal fatigues. On the other hand, values of $E_1$show gradual increases with the num-ber of applied thermal cycles and temperatures. Meanwhile, values of $E_2$ and G(sub)23 decrease to a certain extent in the early stage during the applications of thermal cycling but are not appreciable affected by frequencies of thermal cy-cles. Also, thermal shocks are observed to induce different effects depending on treatment temperatures.

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A Damage Model for Predicting the Nonlinear Behavior of Rock (암석의 비선형 거동해석을 위한 손상모델 개발)

  • 장수호;이정인;이연규
    • Journal of the Korean Geotechnical Society
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    • v.18 no.5
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    • pp.83-97
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    • 2002
  • An experimental model which considers post-peak behaviors and pre-peak damage characteristics representing changes of elastic moduli in each damage level was developed. From experiments, some damage thresholds of rocks were determined, and regression analyses were carried out in order to represent changes of elastic moduli in each damage level as functions of confining pressure. In addition, it was intended to simulate post-peak behaviors with Hoek-Brown constants, $m_r\;and\;s_r$ for post-failure. The developed experimental model was implemented into $FLAC^{2D}$ by a FISH function. From results of parametric studies on Hoek-Brown constants for post-peak, it was revealed that uniaxial compressive strength more highly depends upon $s_r$, although it depends on both $m_r\;and\;s_r$. It was also shown that the post-peak slopes of stress-stain curves depend mainly on $m_r$. When the optimum models obtained from parametric studies were applied to numerical analysis, they predicted maximum strengths obtained from experiments and well simulated stiffness changes due to damage levels.

Analysis of circular plates on two - parameter elastic foundation

  • Saygun, Ahmet;Celik, Mecit
    • Structural Engineering and Mechanics
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    • v.15 no.2
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    • pp.249-267
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    • 2003
  • In this study, circular plates subjected to general type of loads and supported on a two-parameter elastic foundation are analysed. The stiffness, elastic bedding and soil shear effect matrices of a fully compatible ring sector plate element, developed by Saygun (1974), are obtained numerically assuming variable thickness of the element. Ring sector soil finite element is also defined to determine the deflection of the soil surface outside the domain of the plate in order to establish the interaction between the plate and the soil. According to Vallabhan and Das (1991) the elastic bedding (C) and shear parameters ($C_T$) of the foundation are expressed depending on the elastic constants ($E_s$, $V_s$) and the thickness of compressible soil layer ($H_s$) and they are calculated with a suitable iterative procedure. Using ring sector elements presented in this paper, permits the generalization of the loading and the boundary conditions of the soil outside the plate.

Application of Suggested Equations to determine the Elastic Constants of A Transversely Isotropic Rock from Single Specimen (평면이방성 암석의 단일시험편에서 탄성상수 결정에 제안된 수식들의 적용연구)

  • Park, Chul-Whan;Park, Chan;Jung, Yong-Bok;Park, Eui-Seob
    • Tunnel and Underground Space
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    • v.20 no.3
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    • pp.153-168
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    • 2010
  • A fifth equation is required to determine the five independent elastic constants of a transversely isotropic rock from compression test of a single specimen. As an approximation proposed by Saint-Venant has been used for long time, it may cause an erroneous result in some cases, especially for specimen with low angle of anisotropy. Three equations were suggested replacing this traditional equation and proved to be applicable by the model analysis in the previous studies. As Saint-Venant's approximation is turned out the same as the first one of them, it has the characteristics that the apparent Young's modulus is monotonously increasing according to the anisotropic angle. The methodology to analyze the elastic constants from four independent strain measurements by uniaxial compressive test of a single standard specimen is concisely described, and the necessity and compatibility of new suggested equations are discussed. Saint-Venant's approximation can determine the elastic constants close to true values and other equations may be unnecessary in specimens with medium to large angle. Nevertheless, they may become applicable because they can produce the almost same amount. For the specimens of small angle of anisotropy, Saint-Venant's approximation may result in out of general ranges or thermodynamic constraints, but other suggested equations can produce the almost true value. Thus they can be applied before other alternative equation is known. The guide map constructed by model study may decide the most compatible one of the three equations.