• Title/Summary/Keyword: 탄성상수

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Elastic Properties of the $CaSiO_3$ - Garnet Phase ($CaSiO_3$- 석류석 상의 탄성 특성)

    • Journal of the Mineralogical Society of Korea
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    • v.17 no.3
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    • pp.201-208
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    • 2004
  • $CaSiO_3$-garnet phase was observed in the phase transformation sequences on a natural hedenbergite, (Ca, Fe)$ SiO_3$ between 14 and 24 GPa when quenched from $~1200^{\circ}C$. Bulk modulus K = 155 GPa, $V_{\Phi}$ = 6.58 km/sec and other elastic properties of the $CaSiO_3$-garnet were obtaiend on the basis of the systematics of structural analogs in varius garnet phases and relationship of $KV_{m}$ = constant and $V_{\Phi}$$M^{$\frac{1}{2}$}$ = constant. The quenchable garnet phase apears to be stabilized by the considerable amount of Mn and other cations, and shows a wide stability range. As one of the host minerals of Ca composition, $CaSiO_3$-garnet would be one of the important mineral phases in the mantle transition region.

The Buckling Analysis of Stiffened Opening Plastes with Two Opposite Elastic Supports and Two Other Opposite Simply Supports Subjected to In-Plane Pure Bending (면내휨을 받는 2변단순지지 2변 탄성지지 유공 보강판의 좌굴해석)

  • 김일중;정동조;이용수
    • Computational Structural Engineering
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    • v.8 no.4
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    • pp.149-158
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    • 1995
  • When hot-rolled wide flanges are used as vertical compressive or bending member, opening web are often to take a space for equipments of pipe or duct. The Web of hot-rolled wide flange steel with opening may be analyzed as a rectangular plate, subjected to in plane force, and the buckling load is governed by the ultimate force of web. The result of the theory showed close agreement with the result of the finite element analysis. It was also shown that the buckling loads of stiffened opening plates could be larger than those of the plate. The stiffened opening plates for the 4-side simply supported case showed more stiffening effect than the Two Opposite Elastic Supports and Two Other Opposite Simply Supports case. In this study, we proposed the effective opening sizes that buckling loads of stiffened opening plate could be greater than those of the plates.

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Constitutive Modeling for Resilient Behavior of Granular Materials under Repeated Loading (반복하중을 받는 입상재료의 회복탄성거동에 관한 구성모델)

  • Rhee, Suk Keun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.4
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    • pp.827-838
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    • 1994
  • Numerous pavement response models rely on constitutive relationships to describe the response of granular materials. In this study, a nonlinear elastic constitutive model which is a function of bulk stress and octahedral shear stress is proposed to describe the resilient behavior of thick granular base courses under flexible airfield pavements. Special features of this model are its accuracy to predict the nonlinear resilient behavior, its simplicity to determine the material constants and its ability to model the secondary effect of decreasing the resilient modulus due to shear effects. In laboratory tests, the nonlinear resilient behavior of granular materials is investigated and values of resilient moduli are determined to provide data for verifying the proposed model. It is found that the resilient modulus is much more dependent on the states of stresses in terms of bulk stress and deviator stress than any other factors. Result of comparison shows that predicted values of resilient moduli are in good agreement with the measured values indicating that the proposed model is suitable to describe the nonlinear resilient behavior of the granular material with wide range of stress states which meet in airfield pavements.

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Evaluation of Maximum Shear Modulus of Silty Sand in Songdo Area in the West Coast of Korea Using Various Testing Methods (다양한 시험 방법을 이용한 서해안 송도 지역에 분포하는 실트질 모래의 최대 전단탄성계수 평가)

  • Jung Young-Hoon;Lee Kang-Won;Kim Myoung-Mo;Kwon Hyung-Min;Chung Choong-Ki
    • Journal of the Korean Geotechnical Society
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    • v.21 no.9
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    • pp.65-75
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    • 2005
  • Maximum shear modulus of soil is a principal parameter for the design of earth structures under static and dynamic loads. In this study, the statistical data of maximum shear moduli of silty sands in Songdo area in the west coast of Korea evaluated by various field and laboratory tests - standard penetration test (SPT), cone penetration test (CPT), self-boring pressuremeter test (SBPT), downhole test (DH), seismic cone penetration test (SCPT) and resonant column test (RC) were analyzed. Based on the measurement of shear moduli using DH which is known as maximum value at very small strain, the new empirical correlations between shear moduli and SPT or CPT values were proposed. Predictions of maximum shear moduli using the proposed correlations were compared with the data obtained from DH. The good agreement confirmed that the proposed correlations reasonably predicted the maximum shear moduli of silty sands in the area.

Method of Elastic Constant Measurement for Transversely Isotropic Rocks: Application to Banded Gneiss of the Onyang Region (온양지역에 분포하는 호상편마암을 이용한 평면 이방성 암석의 탄성상수 측정방법)

  • Jang, Hyun-Sic;Lee, Ok-Top;Jang, Bo-An
    • The Journal of Engineering Geology
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    • v.22 no.3
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    • pp.309-321
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    • 2012
  • Elastic constants were measured for 70 samples of transversely isotropic banded gneiss from the Onyang region. Anisotropic angles of samples are $0^{\circ}$, $15^{\circ}$, $30^{\circ}$, $45^{\circ}$, $60^{\circ}$, $75^{\circ}$ and $90^{\circ}$. Exact values of $E_2$ and ${\nu}_{21}$ can be measured from samples with anisotropic angles of $0^{\circ}$ and those of $E_1$ and ${\nu}_{12}$ from samples with anisotropic angles of $90^{\circ}$. These values are set as reference values. Elastic constants measured from samples with anisotropic angles of $15^{\circ}$, $30^{\circ}$, $45^{\circ}$, $60^{\circ}$, and $75^{\circ}$, using the methods proposed by Jang et al. (2001) and Park et al. (2008), are compared with the reference values to examine the effectiveness of the two methods. $E_1$ were measured correctly from samples with anisotropic angles of $60^{\circ}$ and $75^{\circ}$, and $E_2$ from samples with anisotropic angles of $15^{\circ}$ and $30^{\circ}$, when using the method suggested by Jang et al. (2001). $E_1$ were measured correctly from samples with anisotropic angles of $45^{\circ}$ and $60^{\circ}$, and $E_2$ from samples with anisotropic angles of $15^{\circ}$, $30^{\circ}$, and $60^{\circ}$, when using the method proposed by Park et al. (2008). The effectiveness of the two methods was determined by error rates between exact values and measured values. The effectiveness of the two methods was similar. However, the method suggested by Jang et al. (2001) may be more effective in measuring $E_1$, while the method suggested by Park et al. (2008) may be more effective in measuring $E_2$.

Physical Test and Finite Element Analysis of Elastomer for Steel Rack Tube Forming (일체형 랙 튜브 성형을 위한 고 탄성체 물성시험과 유한요소 해석)

  • Woo, C.S.;Park, H.S.;Lee, G.A.
    • Elastomers and Composites
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    • v.43 no.3
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    • pp.173-182
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    • 2008
  • Rubber-pad forming process for materials such as metal in which portions of the die which act upon the material is composed of a natural or synthetic rubber or elastomer material. This makes the rubber pad forming process relatively cheap and flexible, high accuracy for small product series in particular. In this study, we carried out the physical test and finite element analysis of elastomer such as natural rubber and urethane for steel rack rube forming. The non-linear property of elastomer which are described as strain energy function are important parameter to design and evaluate of elastomer component. These are determined by material tests which are uni-axial tension and bi-axial tension. This study is concerned with simulation and investigation of the significant parameters associated with this process.

Evaluation of Resilient Modulus for Reinforced Trackbed using Large Triaxial Tests (대형삼축압축시험을 이용한 강화노반재료의 회복탄성계수 평가)

  • Lee, Sung Jin;Lee, Jin Wook;Lee, Seong Hyeok;Sagong, Myung
    • Journal of the Korean Society for Railway
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    • v.17 no.6
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    • pp.415-422
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    • 2014
  • Reinforced trackbeds are an important layer that has a significant effect on the deformation of the track, therefore, a deeper understanding of reinforced trackbeds is necessary. In this paper, we conduct a large triaxial test in order to evaluate the resilient modulus ($M_R$) of reinforced trackbed materials through considering several factors such as the grain size distribution (GSD) and loading conditions. It is identified that the maximum size of the particle, GSD, and compacted water content affect the $M_R$ but the loading frequency does not. Because these tests are performed with consideration of the field environment, the test results are useful for analyzing tracks including reinforced trackbeds. The data are limited to evaluating the parameters of $M_R$ model; however the parameters of the deviatoric and bulk stress models that can be used in various loading conditions are proposed.

The Nonlinear Structure Design for Hyper-elastic Meterials Using Contact Analysis (비선형 해석을 이용한 초탄성 재료의 구조 최적 설계)

  • Kim J.Y.;Jung D.S.;Park Y.C.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.06a
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    • pp.1315-1321
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    • 2005
  • Using hyper-elastic material has been increased gradually and its range was extended all over the industrial. In addition, the performance prediction of this material was required not only experimental methods like metal material but also numerical methods. In this study, we presented the process how to use numerical method for hyper-elastic material and then, it was applied for seat-ring of butterfly valve by using this process. The finite element analysis was executed to evaluate the mechanical characteristics of hyper-elastic material and search the optimum model considered conditions and features. According to that model the coefficient was obtained by using Contact analysis.

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Effect of Stress-Dependent Modulus and Poisson's Ratio on Rutting Prediction in Unbound Pavement Foundations (도로기초의 Rutting 예측에 미치는 응력의존 탄성계수와 포와송비의 영향)

  • Park, Seong-Wan
    • Journal of the Korean Geotechnical Society
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    • v.23 no.3
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    • pp.15-24
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    • 2007
  • This paper will present a simple approach (or predicting layer deformation of unbound pavement materials with stress-dependent material properties. The approach is based on an uncoupled formulation in which the resilient and deformation response of unbound materials are considered separately. As a result, an uncoupled approach incorporating a resilient stiffness and Poisson's ratio model is able to simulate field measured deformation in pavement foundations. In addition, a sensitivity analysis is conducted to identify the significant factors in the stress-dependent modulus and Poison's ratio model. The predicted trends of deformation from this analysis are presented and discussed.

Aeroelastic Stability Analysis of Bearingless Rotors with Composite Flexbeam in Hover (복합재 유연보를 갖는 무베어링 로우터 시스템의 정지 비행시 공탄성 안정성 해석)

  • Lim, In-Gyu;Choi, Ji-Hoon;Lee, In;Han, Jae-Hung
    • Composites Research
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    • v.17 no.3
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    • pp.29-37
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    • 2004
  • The aeroelastic stability analysis of composite bearingless rotors is investigated using a large deflection beam theory in hover. The bearingless rotor configuration consists of a single flexbeam with a wrap-around type torque tube and the pitch links located at the leading edge and trailing edge of the torque tube. The outboard main blade, flexbeam and torque tube are all assumed to be an elastic beam undergoing flap bending, lead-lag bending, elastic twist and axial deflections, which are discretized into beam finite elements. For the analysis of composite bearingless rotors, flexbeam is assumed to be a rectangular section made of laminate. Two-dimensional quasi-steady strip theory is used for aerodynamic computation. The finite element equations of motion for beams are obtained from Hamilton's principle. The p-k method is used to determine aeroelastic stability boundary. Numerical results are presented for selected bearingless rotor configurations based on the lay-up of laminae in the flexbeam and pitch links location. A systematic study is made to identify the importance of the stiffness coupling terms on aeroelastic stability for various fiber orientation and for different configuration.