• Title/Summary/Keyword: 응력 및 변위장

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공액근사개념 및 변위장 반복계산에 의한 국부응력장 개선 연구

  • 송기남
    • Proceedings of the Korean Nuclear Society Conference
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    • 1997.05b
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    • pp.495-502
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    • 1997
  • 변위형 유한요소해에 기초하고 공액근사개념 및 Loubignac의 변위장 개선방법을 국부영역에 적용하여 국부영역에서의 응력장의 정확도를 향상시킬 수 있는 방법을 제안하였다. 제안된 방법에서 계산된 국부영역의 응력장은 전체영역에 대한 응력장 개선 결과에 근접하며 유한요소 평형방정식을 잘 만족하친 있을 뿐만 아니라 수회 이내의 반복계산내에 수렴하고 있어서 계산시간이 크게 줄어들 수 있어서 국부영역에 대한 상세응력해석에 적절하게 이용될 수 있다.

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Unsteadily Propagating Permeable Mode III Crack in Piezoelectric Materials (압전재료에서 비정상적으로 전파하는 투과형 모드 III 균열)

  • Lee, Kwang-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.9
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    • pp.985-996
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    • 2012
  • An unsteadily propagating permeable crack in piezoelectric materials (PMs) under anti-plane shear mechanical loading and in-plane electric loading is studied. The equilibrium equations for a transiently propagating crack in a PM are developed, and the solutions on the stress and displacement fields for a permeable crack though an asymptotic analysis are obtained. The influences of piezoelectric constant, dielectric permittivity, time rate of change of the crack tip speed and time rate of change of stress intensity factor on the stress and displacement fields at the transiently propagating crack tip are explicitly clarified. By using the stress and displacements, the characteristics of the stress and displacement at a transiently propagating crack tip in a PM are discussed.

Stress and Displacement Fields of a Propagating Mode III Crack in Orthotropic Piezoelectric Materials (직교이방성 압전재료에서 전파 하는 모드 III 균열의 응력장과 변위장)

  • Lee, Kwang-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.6
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    • pp.701-708
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    • 2010
  • The stress and displacement fields of a permeable propagating crack in orthotropic piezoelectric materials under anti-plane shear mechanical load and in-plane electric load are analyzed. The equations of motion for the propagating crack in piezoelectric materials are developed and the solution on the stress and the displacement fields through an asymptotic analysis was obtained. The influences of the piezoelectric constant and of the dielectric permittivity on the stress and displacement fields at the crack tip are explicitly clarified. Using the stress and displacement fields obtained in this study, the characteristics of stress and displacement at a propagating crack tip in piezoelectric materials are discussed.

Influence of Density Variation on Stress and Displacement Fields at a Propagating Mode-III Crack Tip in Orthotropic Functionally Graded Materials (밀도변화가 직교이방성함수구배재료에서 전파하는 모드 III 균열선단의 응력 및 변위장에 미치는 영향)

  • Lee, Kwang-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.35 no.9
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    • pp.1051-1061
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    • 2011
  • The influences of density variation on stress and displacement fields at a propagating Mode-III crack tip in orthotropic functionally graded materials (OFGMs) are studied. The crack propagates dynamically at a right angle to the gradient of physical properties. Three kinds of elasticity and density gradients are analyzed in this study. They are as follows: (1) the density varies without elasticity variation, (2) the directions of the density and elasticity gradients are opposite to each other, and (3) same. For these cases, the stress and displacement fields at the crack tip are developed and the dynamic stress intensity factors for propagating cracks are also studied. When the crack speed is low, the influence of density variation on the stresses and displacement is low. However, when the crack speed is high, this influence is very high.

Analysis of Unsteady Propagation of Mode III Crack in Arbitrary Direction in Functionally Graded Materials (함수구배재료에서 임의의 방향을 따라 비정상적으로 전파하는 모드 III 균열해석)

  • Lee, Kwang Ho;Cho, Sang Bong;Hawong, Jai Sug
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.39 no.2
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    • pp.143-156
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    • 2015
  • The stress and displacement fields at the crack tip were studied during the unsteady propagation of a mode III crack in a direction that was different from the property graduation direction in functionally graded materials (FGMs). The property graduation in FGMs was assumed based on the linearly varying shear modulus under a constant density and the exponentially varying shear modulus and density. To obtain the solution of the harmonic function, the general partial differential equation of the dynamic equilibrium equation was transformed into a Laplace equation. Based on the Laplace equation, the stress and displacement fields, which depended on the time rates of change in the crack tip speed and stress intensity factor, were obtained through an asymptotic analysis. Using the stress and displacement fields, the effects of the angled property variation on the stresses, displacements, and stress intensity factors are discussed.

Transient Elastodynamic Mode III Crack Growth in Functionally Graded Materials (함수구배재료에서 천이탄성동적모드 III 균열전파)

  • Lee, Kwang-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.7
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    • pp.851-858
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    • 2010
  • A generalized elastic solution for a transient mode III crack propagating along the gradient in functionally graded materials (FGMs) is obtained through an asymptotic analysis. The shear modulus and density of the FGMs are assumed to vary exponentially along the gradient. The stress and displacement fields near the crack tip are obtained in terms of powers of radial coordinates, and the coefficients depend on the time rates of the change of the crack tip speed and stress intensity factors. The influence of nonhomogeneity and transients on the higher order terms of the stress and displacement fields is discussed.

Measurement of Stress and Displacement Fields in Particle Assembly subjected to Shallow Foundation Loading via Photoelasticity Technique (광탄성 기법을 이용한 얕은 기초 하중을 받는 입상체의 응력 및 변위장 측정)

  • Byeon, Bo-Hyeon;Jung, Young-Hoon
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.33 no.5
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    • pp.1947-1955
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    • 2013
  • The purpose of this paper is to present an photoelasticity technique for measuring the displacement and stress distribution in particle assembly subjected to shallow foundation loading. Photoelastic measurement technique was employed to visualize the force transmission of a particle assembly. A model assembly bounded by a steel frame was built by stacking bi-dimensional circular particles made of polycarbonate elastomer. Each particle was coated by a thin photoelastic sheet so that the force transmission represented by bright light stripes can be visualized. In a contacted particle, both magnitude and orientation of principal stress difference can also be measured via the photoelasticity technique. The different distributions of the contact stresses at the initial loading and near the failure were quantitatively compared. The photoelastic patterns and displacement fields observed in the pre-failure state disappears immediately after the buckling of confined force chains.

Load Transfer of Ground Anchors in Clay (점토지반에 설치된 앵커의 하중전이에 관한 연구)

  • Kim, Nak-Kyung
    • Journal of the Korean Geotechnical Society
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    • v.16 no.3
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    • pp.145-155
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    • 2000
  • 지반과 구조물을 일체화시키는데 사용하는 앵커는 앵커체와 지반의 마찰력에 의해서 구조물을 지지하는 역할을 하며 앵커의 하중과 변형의 관계를 규명하기 위해서는 앵커의 마찰력 분포의 변화(하중전이)가 중요한 요소가 된다. 하중 재하시 앵커체에 발생하는 하중전이 분포는 앵커의 인발 지지력과 밀접한 관계가 있고 정착장의길이, 지반 조건 등에 따라 분포 양상이 변하기 때문에 하중 정이를 이해하기 위해서는 강선과 그라우트의 하중분포 그리로 앵커 그라우트체와 지반과의 마착력 분포를 알아야 한다. 본 연구는 미국 Texax A&M University의 점성토지반에 계측기가 장착된 10개의 그라운드 앵커를 설치하여 인발시험을 수행하였다. 앵커의 자유장 강선에 작용하는 응력, 그라우트체에 작용하는 응력, 그리고 정착장 강선의 응력을 계측하여 강선과 그라우트의 정착응력 및 그라우트와 지반에서의 마찰력 분포를 구함으로써 강선-그라우트-지반의 복합적인 거동에 따른 각 하중 단계마다의 하중전이를 얻어냈다. 또한 현장시험 결과의 역해석을 통하여 강선과 그라우트 사이의 하중과 변위의 관계와 그라우트와 지반의 하중-변위 관계를 분석하여 그라운드 앵커의 인발 특성을 예측 할 수 있는 수치해석 기법을 모델링하여 제시하였다.

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Sequential Use of COMSOL Multiphysics® and PyLith for Poroelastic Modeling of Fluid Injection and Induced Earthquakes (COMSOL Multiphysics®와 PyLith의 순차 적용을 통한 지중 유체 주입과 유발지진 공탄성 수치 모사 기법 연구)

  • Jang, Chan-Hee;Kim, Hyun Na;So, Byung-Dal
    • The Journal of Engineering Geology
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    • v.32 no.4
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    • pp.643-659
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    • 2022
  • Geologic sequestration technologies such as CCS (carbon capture and storage), EGS (enhanced geothermal systems), and EOR (enhanced oil recovery) have been widely implemented in recent years, prompting evaluation of the mechanical stability of storage sites. As fluid injection can stimulate mechanical instability in storage layers by perturbing the stress state and pore pressure, poroelastic models considering various injection scenarios are required. In this study, we calculate the pore pressure, stress distribution, and vertical displacement along a surface using commercial finite element software (COMSOL); fault slips are subsequently simulated using PyLith, an open-source finite element software. The displacement fields, are obtained from PyLith is transferred back to COMSOL to determine changes in coseismic stresses and surface displacements. Our sequential use of COMSOL-PyLith-COMSOL for poroelastic modeling of fluid-injection and induced-earthquakes reveals large variations of pore pressure, vertical displacement, and Coulomb failure stress change during injection periods. On the other hand, the residual stress diffuses into the remote field after injection stops. This flow pattern suggests the necessity of numerical modeling and long-term monitoring, even after injection has stopped. We found that the time at which the Coulomb failure stress reaches the critical point greatly varies with the hydraulic and poroelastic properties (e.g., permeability and Biot-Willis coefficient) of the fault and injection layer. We suggest that an understanding of the detailed physical properties of the surrounding layer is important in selecting the injection site. Our numerical results showing the surface displacement and deviatoric stress distribution with different amounts of fault slip highlight the need to test more variable fault slip scenarios.