• Title/Summary/Keyword: 탄성균열

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동적 파괴역학 에 대하여(II)

  • 이억섭;김상철
    • Journal of the KSME
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    • v.25 no.1
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    • pp.39-46
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    • 1985
  • 동적 탄성 파괴역학 문제들을 실험적으로 연구하기 위해서는 우선 빠르게 전파하고 있는 균열 선단(전파속도 V=100m/sec∼1000m/sec for various polymers) 부근의 응력분포 상태나 변위분포 상태등을 기록하는 실험장치가 필수적으로 필요하다. 먼저 Wells와 Post(7)에 의하여 처음으로 사용되었고 Kobayashi(18,19,20)와 Dally(21)등에 의해서 발전, 개선된 동적 광탄성 실험범에 대 하여 설명하고 이 실험에 의하여 동적 응력확대계수를 추출하는 방법을 아울러 강의하고 그의 문제점 등을 논의 하고자 한다.

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미분변환법에 의한 탄성 지반상의 열림 균열을 가진 Euler-Bernoulli보의 진동 해석

  • 황기섭;윤종학;유영찬;신영재
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.11a
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    • pp.690-695
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    • 2003
  • The main purpose of this paper is to apply differential transformation method to vibration analysis of Euler-Bernoulli beam with open cracks on elastic foundation. The governing equation of motion of beam with open cracks on elastic foundation is derived. The concept of differential transformation is briefly introduced. The cracks are modeled by massless substitute spring. The effects of the crack location, size and the foundation constants, on the natural frequencies of the beam, are investigated.

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Application of Boundary Element Methods to Interface Crack Problems (I) : Elastic-Elastic Problem (계면균열해석에 대한 경계요소법의 응용 (I) : 탄성-탄성 문제)

  • 이상순;김정규;김태형;박건우;황종근
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1996.04a
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    • pp.87-94
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    • 1996
  • The stress intensity factor for an inter(ace crack in dissimilar elastic-elastic bimaterials is presented and the boundary element analysis is performed. It is shown that the proposed method produces the accurate and effective numerical results.

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Advanced Finite Element Technology for Fracture Mechanics Analysis of Cracked Shells (균열된 쉘의 파괴역학해석을 위한 선진유한요소기법)

  • 우광성
    • Computational Structural Engineering
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    • v.4 no.2
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    • pp.77-85
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    • 1991
  • A new finite element technology based on the p-version of E.F.M. is discussed with reference to its potential for application to stress intensity factor computations in linear elastic fracture mechanics, especially cracked cylindrical shells. It is shown that the p-version model is far better suited for computing the stress intensity factors than the conventional h-version models with the help of three test problems. The main advantage of this technology is that the accuracy of approximation can be established without mesh refinement or the use of special procedures such as crack-tip element and mixed variational approach.

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Flexural Fatigue Behavior of Unreinforced Polyester Polymer Concrete Beams (무근 폴리에스터 폴리머 콘크리트보의 휨피로 거동)

  • 연규석;박제선;김광우;성기태;김태경
    • Magazine of the Korea Concrete Institute
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    • v.5 no.3
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    • pp.179-186
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    • 1993
  • 본 연구는 무근 폴리에스터 폴리머 콘크리트보의 휨피로 거동을 구명키 위한 것으로서 초기균열깊이와 높이의 비 (a/h)를 0, 0.2, 0.4로 하고 응력수준을 45%, 55%, 65%로 하여 피로 시험을 실시한 것이다. 그 결과 초기균열깊이가 커질수록 피로수명이 짧아졌으며, 피로수명비에 따른 휨인장변형도는 균열깊이가 클수록 작아졌다. 또한 휨탄성계수는 피로수명비 0.2에서 0.6정도까지는 선형적인 변화를 보였으나, 초기와 말기에는 비선형적인 변화를 보여주었다. 그리고 응력수준과 균열깊이가 커질수록 취성적인 성질이 더 크게 나타남을 알 수 있었다.

A Study on Determination of Stress Intensity Factors for the Interface Crack in Dissimilar AnisotropicMaterials (이방성 이종재료의 접합계면 균열에 대한 응력확대계수 결정에 대한 연구)

  • 이갑래;조상봉;최용식
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.3
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    • pp.887-897
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    • 1991
  • 본 연구에서는 이와 같은 배경에서, Fig. 1(f)와 같이 가장 일반적인 이방성 재료가 접합된 경우의 응력확대계수를 명확히 정의하고, 수치해석법으로 구할 수 있는 외삽식을 제안한다. 또한, 탄성문제의 수치해석 방법으로 적은 요소의 분할로써 고 정밀도의 수치해석 결과를 얻을 수 있는 경계요소법(boundary element method:BEM), 특히 저자들이 개발한 복합재료에 대한 2차원 경계요소법 프로그램을 이용하여 이방성 이종재료 접합계면 균열의 응력확대계수를 해석하고, 복합재료내의 섬유방향에 대한 접합계면 균열의 정성적 거동을 고찰하고자 한다.

A Study on Fracture Characteristics of Woven Carbon Fiber Reinforced Composite Material (직물탄소 섬유강화 복합재료의 파괴특성에 관한 연구)

  • 김광수;김상태
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.3
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    • pp.497-505
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    • 1992
  • 본 연구에서는 최근에 개발된 직물 탄소섬유강화 복합재료의 파괴인성치를 정 량적으로 결정하고 파괴거동을 조사하고자 한다. 본 연구의 목적은 이 재료에 선형 탄성파괴역학의 적용여부를 알아보고, R곡선을 이용하여 균열의 생성점 및 불안정 파 괴점의 파괴인성치를 정확히 구하며, 주사형 전자현미경을 통해 파단면 및 균열 성장 시점을 관찰하여 파괴거동을 조사하는데 있다.

Application of Mechanical Crack Model to Numerical Study of Rock Mass Behavior (암석거동의 수치해석적 연구를 위한 균열모형의 적용)

  • Park, Do-hyun;Jeon, Seok-won
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.2 no.2
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    • pp.72-85
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    • 2000
  • Rock is a very complex and heterogeneous material, containing structural flaws due to geologic generation process. Because of those structural flaws, deformation and failure of rock when subjected to differential compressive stresses is non-linear. To simulate the non-linear behavior of rock, mechanical crack models, that is, sliding and shear crack models have been used in several studies. In those studies, non-linear stress-strain curves and various behaviors of rock including the changes of effective elastic moduli ($E_1$, $E_2$, ${\nu}_1$, ${\nu}_2$, $G_2$) due to crack growth were simulated (Kemeny, 1993; Jeon, 1996, 1998). Most of the studies have mainly focused on the verification of the mechanical crack model with relatively less attempt to apply it to practical purposes such as numerical analysis for underground and/or slope design. In this study, the validity of mechanical crack model was checked out by simulating the non-linear behavior of rock and consequently it was applied to a practical numerical analysis, finite element analysis commonly used.

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Static and dynamic elastic properties of the Iksan Jurassic Granite, Korea (익산 쥬라기 화강암의 정 및 동탄성학적 특성)

  • Kang, Dong-Hyo;Jung, Tae-Jong;Lee, Jung-Mo
    • Journal of the Korean Geophysical Society
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    • v.3 no.2
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    • pp.99-112
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    • 2000
  • The Iksan Jurassic Granite shows relatively less fractures and homogeneous rock fabrics, and is one of the most popular stone materials for architectures and sculptures. Almost mutually perpendicular rift, grain, and halfway in the Iksan Jurassic Granite are well known to quarrymen based on its splitting directions, and therefore it should exhibit orthorhombic symmetry. Theoretically, there are 9 independent elastic stiffness coefficients $(C_{1111},\;C_{2222},\;C_{3333},\;C_{2323},\;C_{1313},\;C_{1212},\;C_{1122},\;C_{2233},\;and\;C_{1133})$ for orthorhombic anisotropy. In order to characterize the static and dynamic elastic properties of the Iksan Jurassic Granite, triaxial strains under uniaxial compressive stresses and ultrasonic velocities of elastic waves in three different polarizations are measured. Both experiments are carried out with six directional core samples from massive rock body. Using the results of experiments and the densities measured independently, the static and dynamic elastic coefficients are computed by simple mathematical manipulation derived from the governing equations for general anisotropic media. The static elastic coefficients increase ar uniaxial compressive stress rises. Among those, the static elastic coefficients at uniaxial compressive stress of a 24.5 MPa appear to be similar to the dynamic elastic coefficients under ambient condition. Although some deviations are observed, the preferred orientations of microcracks appear to be parallel or subparallel to the rift, the grain, and the hardway from microscopic observation of thin sections. This indicates that the preferred orientations of microcracks cause the elastic anisotropy of the Iksan Jurassic Granite. The results are to be applied to the effective use of the Iksan Jurassic Granite as stone materials, and can be used for the non-destructive safety test.

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P-version Crack Model for Computation of Stress Intensity Factor of Cracked Panels Subjected to Membrane Forces (인장력을 받는 균열판의 응력확대계수 산정을 위한 p-version균열모델)

  • 윤영필;우광성;박병기;신영식
    • Computational Structural Engineering
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    • v.6 no.4
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    • pp.57-66
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    • 1993
  • The p-version crack model based on integrals of Legendre polynomial and virtual crack extension method is proposed with its potential for application to stress intensity factor computations in linear elastic fracture mechanics. The main advantage of this model is that the data preparation effort is minimal because only a small number of elements are used and high accuracy and the rapid convergence can be achieved in the vicinity of crack tip. There are two important findings from this study. Firstly, the limit value, the strain energy of the exact solution, can be estimated with successive three p-version approximations by ascertaining that the approximations enter the asymptotic range. Secondly, the rate of convergence of p-version model is almost twice that of h-version model on the basis of uniform or quasiuniform mesh refinement for the cracked panel problem subjected to tension.

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