• Title/Summary/Keyword: 변위 전파

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Stress and Displacement fields of a Propagating Mode III Crack in Orthotropic Functionally Gradient Materials with Property Gradation Along X Direction (X방향을 따라 물성구배를 갖는 직교이방성 함수구배 재료에서 전파하는 모드 III 균열의 응력장과 변위장)

  • Cho Sang-Bong;Lee Kwang-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.3 s.246
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    • pp.249-259
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    • 2006
  • Stress and displacement fields of a propagating Mode III crack in an orthotropic functionally gradient material (OFGM), which has (1) linear variation of shear modulus with a constant density, and (2) an exponential variation of shear modulus and density, are derived. The equations of motion in OFGM are developed and solution to the displacement and stress fields fer a propagating crack at constant speed though an asymptotic analysis. The stress terms associated with $\gamma^{-1/2}\;and\;\gamma^{0}$ are not affected by the FGM constant $\zeta$ which is nonhomogeneous parameter, only on the higher order terms, the influences of nonhomogeneity on the stress are explicitly brought out. When the FGM constant $\zeta\;is\;zero\;or\;\gamma{\rightarrow}0$, the fields for OFGM are almost same as the those for homogeneous orthotropic material. Using the stress components, the effects of nonhomogeneity on stress components are discussed.

Creep Crack Growth Properties of Rotor Steel under Constant Load and $C_t$ Condition (일정하중 및 일정$C_t$에서 로터강의 크리프 균열전파특성)

  • Jeong, Soon-Uk;Lee, Hun-Sik;Kim, Young-Dae
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.501-506
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    • 2001
  • The creep crack growth properties in 3.5NiCrMoV steel were investigated at $550^{\circ}C$ by using CT specimen under constant $C_t$ condition that was held during crack growth of 1mm distance. $C_t$ lely on load line displacement rate and $C^*$ usually increase with crack length though load is reduced in order to maintain constant $C_t$ value as crack growth. Fully coalesced area(FCA) ahead of crack tip tend to increase as $C_t$ increase to the critical value, and after that value FCA decrease. For the tertiary creep stage of crack growth test, the most of displacement is due to the steady state creep, except only small part due to the primary creep and other effects. Therefore, tests were mainly interrupted in the tertiary stage to obtain high value of $C_t$. At constant load and $C_t$ region, crack growth slope was 0.900 and 0.844 each, on the other hand $C^*$ slope was 0.480.

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Computation of Free Surface Displacement for Water Waves by Asymptotic Approximations (점근 근사법에 의한 파랑변위 계산)

  • 서승남
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.6 no.1
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    • pp.12-22
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    • 1994
  • Time evolution of linear water waves on a constant depth generated by a disturbance is analyzed by asymptotic methods; stationary phase, steepest descents and leading wave approximation. In order to verify the derived formulae of surface displacements for 1-D and 2-D waves. surface displacements are calculated and plotted from both the formulae and a numerical integration. The existing results for surface displacements are verified in which the leading amplitude of 1-D waves during the evolution decays as f- T/B, the rest of the wavetrain as t$^{-1}$ 2/ and the rest of the wavetrain of 2-D waves as t-1. But it is shown that the leading amplitude of 2-D waves decays as t 5/6 which is different from Kajiura's result t$^{-4}$ 3/.

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An Object-based Stereo Matching Method Using Block-based Segmentation (블록 기반 영역 분할을 이용한 객체 기반 스테레오 정합 기법)

  • Kwak No-Yoon
    • Journal of Digital Contents Society
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    • v.5 no.4
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    • pp.257-263
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    • 2004
  • This paper is related to the object-based stereo matching algorithm which makes it possible to estimate inner-region disparities for each segmented region. First, several sample points are selected for effectively representing the segmented region, Next, stereo matching is applied to the small area within segmented region which existed in the neighborhood or each sample point. Finally, inner-region disparities are interpolated using a plane equation with disparity of each selected sample. According to the proposed method, the problem of feature-based method that the depth estimation is possible only in the feature points can be solved through the propagation of the disparity in the sample point into the inside of the region. Also, as selecting sample points in contour of segmented region we can effectively suppress obscurity which is occurred in the depth estimation of the monotone region in area-based methods.

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Fatigue and Cyclic Deformation Behavior with the Unreinforced Matrix Alloy and Al/$Al_2O_3$ Metal Matrix Composites (기지금속과 $Al_2O_3$/Al 금속복합재료의 피로 및 주기적 변형거동)

  • 송정일
    • Composites Research
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    • v.12 no.5
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    • pp.1-11
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    • 1999
  • Cyclic deformation and fatigue behavior of $Al/$Al_2O_3$ metal matrix composites and matrix alloy were studied. Hatigue strength Al/$Al_2O_3$ composites was about 210MPa, and that of Al matrix alloy was 170MPa. Most of the resultant displacement due to permanent plastic deformation occurred in less than the first 5% of fatigue life. In case of composites, decrease of cyclic displacement was smaller than that of matrix because the reinforcements acted as barriers to dislocation movement. Consequently, cyclic stress-displacement response curve can be considered to have these atages ; an initial few cycles of rapid hardening, followed by progressive hardening for most the fatigue life, and then just prior to failure, an instantaneous drop in stress carrying capability of the material due to multiple microcrack initiation, eventual coalescence of microcrack to form a macrocrack and then rapid macroscopic crack growth.

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Prediction of Tunnel Response by Spatially Variable Ground Motion (공간적으로 변이하는 지진파에 대한 터널의 응답 예측)

  • Kim, Intai;Han, Jungwoo;Yun, Seung;Park, Duhee
    • Journal of the Korean GEO-environmental Society
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    • v.9 no.4
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    • pp.53-61
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    • 2008
  • Various components including wave scattering, wave passage, and site amplification effects cause the ground motion to vary spatially. The spatially varying ground motion can significantly influence the dynamic response of longitudinal structures such as bridges and tunnels. While its effect on bridges has been extensively studied, there is a lack of study on its effect on underground tunnels. This paper develops a new procedure for simulating the tunnel response under spatially varying ground motion. The procedure utilizes the longitudinal displacement profile, which is developed from spatially variable ground motion time histories. The longitudinal displacement profile is used to perform a series of pseudo-static three dimensional finite element analyses. Results of the analyses show that the spatially variable ground motion cause longitudinal bending of the tunnel and can induce substantial axial stress on the tunnel lining. The effect can be significant at boundaries at which the material properties of the ground change in the longitudinal direction.

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A Propagation Model of Tsunamis over Slowly Varying Water Depth (완경사 지형을 통과하는 지진해일 전파모의 기법)

  • Kim, Ji Hun;Cho, Yong-Sik
    • 한국방재학회:학술대회논문집
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    • 2011.02a
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    • pp.58-58
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    • 2011
  • 동해를 전파하는 지진해일은 다른 지역에서 발생하는 지진해일과 비교하였을 때 상대적으로 파장이 짧고, 파장에 비해 먼거리를 전파한다. 따라서 지진해일이 전파할 시 물리적인 분산효과가 매우 중요하다. 그러므로 동해에서 발생하는 지진해일을 수치모의 할 때는 분산효과가 충분히 고려될 수 있는 선형 Boussinesq 방정식을 사용한다. 그러나 이를 직접 풀 경우에는 상당히 많은 시간이 소비되며 효율적이지 못하다. 이와 같은 단점을 극복하기 위해 기존의 연구에서는 leap-frog 기법을 사용하여 선형 천수방정식을 차분할 때 발생하는 수치분산항을 선형 Boussinesq 방정식의 분산항과 같은 형태를 가질 수 있도록 분산보정계수를 사용하여 수치모의를 수행하였다. 하지만 이때 사용된 지배방정식은 수심이 일정하다는 가정을 이용하여 유도된 것이므로, 실제 경사가 있는 지형을 통과할 때의 수치모의 결과는 정확하다고 할 수 없다. 본 연구에서는 이를 극복하기 위하여 바닥 지형이 1차원으로 변한다는 가정으로 새로운 지배방정식을 유도하였으며, 수심변화로 인해 새로 발생하는 항을 기존의 분산보정기법에 추가하였다. 또한 수심이 변화는 지형을 통과하는 지진해일의 분산효과가 충분히 고려되는지 확인하기 위하여 Gaussian hump를 이용하여 가상 지진해일을 원형 천퇴지형에 통과시키는 수치모의를 수행하였다. 결과의 비교를 위한 정확해가 없으므로, 비선형 Boussinesq 방정식을 직접 차분하여 푸는 FUNWAVE를 이용하여 동일한 조건으로 수치모의를 수행하였다. 수치모의 시 중심선에 4개의 가상 gage를 설치하였으며, 이를 통해 각각의 수치모의 실험에 대한 자유수면 변위를 관찰하여 비교하였다. 수치모의 결과에 대한 비교를 통하여 기존의 분산보정기법에 비해 본 연구에서 제안한 새로운 수치기법이 분산효과를 비교적 잘 반영하는 것으로 나타났으며, 비교적으로 실제 지형에 적용하였을 때 정확도 향상의 가능성이 높다고 판단하였다.

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Simulation of Dynamic Crack Propagation in Uni-Directional and Cross-Ply Fiber-Reinforced Composites (단일방향 및 크로스-플라이 섬유강화 복합체에서의 동적균열 전파모사)

  • Hwang, Chan-Gyu
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.21 no.4
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    • pp.383-390
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    • 2008
  • This paper presents the formulation and numerical implementation of a spectral scheme specially developed to simulate dynamic fracture events in unidirectional and cross-ply fiber-reinforced composites. The formulation is based on the spectral representation of the transversely isotropic elastodynamic relations between the traction stresses along the fracture plane and the resulting displacements. Example problem of dynamically propagating cracks in fiber-reinforced composites is investigated and compared with reference solutions available in the literature and/or experimental observations. This scheme can be directly applicable to the interfacial fracture analysis in the FRP reinforced concrete structures.

Characteristics for a Mode III Crack Propagating along Interface between Isotropic and Functionally Gradient Material with Linear Property Gradation along X Direction (등방성과 X방향 선형함수구배 재료의 접합계면을 따라 전파하는 모드 III 균열의 특성)

  • Lee Kwang Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.10
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    • pp.1500-1508
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    • 2004
  • Stress and displacement fields for a crack propagating along interface between isotropic material and functionally gradient one with linear property gradation along X direction are developed. The stress and displacement fields are obtained from the complex function of steady plane motion for isotropic and functionally gradient material (FGM). The stresses and displacement in isotropic material of bimaterial are not influenced by nonhomogeneity, however, the fields in FCM are influenced by nonhomogeneity in the terms of higher order, n$\geq$3. When the nonhomogeneous parameter in FGM is zero, or in area close to crack tip, the fields are identical to those of isotropic-isotropic bimaterial. Using these stress components, the effects of nonhomogeneity on stresses are discussed.

A Study on configuration of a laser resonator with high alignment stability (높은 정렬 안정성을 갖는 레이저 공진기 구성에 관한 연구)

  • 차혁진
    • Korean Journal of Optics and Photonics
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    • v.11 no.4
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    • pp.279-288
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    • 2000
  • The variations of output energy due to tilt output coupler for different types of pulsed Nd:YAG laser resonators were compared by measuring FWHM (full width at half maximum) which means the width of angle displacement where maximum output energy decreases to half value. We proposed a new configuration of pulsed solid-state laser resonator which had high FWHM for tilting of output coupler and which was little sensitive for tilting of rear optics. We proved that our laser resonator had high alignment stability using ABeD ray matrix method because the ray matrix of such a resonator corresponded to unit matrix. atrix.

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