• Title/Summary/Keyword: 이방성강도

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Experimental Study on the Elastic Constants of A Transversely Isotropic Rock by Multi-Specimen Compression Tests Report 1 - Focus on Data Analysis (다중시험편 시험에 의한 평면이방성 암석의 탄성상수 분석연구 제 1 보 - 자료해석을 중심으로)

  • Park, Chul-Whan;Park, Chan;Synn, Joong-Ho;Jung, Yong-Bok
    • Tunnel and Underground Space
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    • v.20 no.6
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    • pp.455-464
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    • 2010
  • The variations of the uniaxial compressive strength, the strains and the elastic constants with respect to the angle of anisotropy are analyzed in order to investigate the characteristics of a transversely isotropic rock experimentally. Total 35 specimens of 7 different angles from a large block of rhyolite presenting the flow structure obviously are used in tests. This study is composed of two reports; the elastic constants are mainly analyzed for the every individual angle in the report No. 1 and they will be discussed synthetically in the report No. 2. From the specimens of 0 and 90 degree, 4 independent elastic constants which can directly be obtained without the help of any other suggested equations, may be referred to the true values. Data variation in the strain measurements differs on the angle is analyzed. That of small angle specimens tends higher than that of large angle specimens. The relation of apparent Young’s modulus and angle is found to be M- or U-shaped. For small angle specimens, Saint-Venant approximation cannot be applied successfully on account of showing the non-monotonous increase, and E1 is analyzed out of the true value range. In the specimen of $\phi$ = 75, the deviation of strain measurement and strength are smallest and 4 all constants are analyzed in the true value range. Therefore, specimen of the angle of around 75 may become preferable if only one specimen should be used in test of a transversely isotropic rock.

Engineering Characteristics of Shales due to the Angle of Bedding Planes (층리면을 고려한 셰일의 공학적 특성)

  • 김영수;서인식;허노영;이재호;김병탁
    • Journal of the Korean Geotechnical Society
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    • v.17 no.1
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    • pp.5-13
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    • 2001
  • 강도 또는 변형 이방성은 층리진 최적암, 박층모양의 변성암, 균일하게 절 리가 나있는 암석에서 흔히 볼 수 있다(Amadei, 1982, 1996). 특히, 대구지역은 퇴적암의 일종인 셰일로 구성되어 층리면의 각도에 따라 역학적인 특성이 달리 산정되어져야 한다. 이에 본 연구에서는 층리면의 각도를 달리하여 시료를 성형한 후 각종 시험을 수행하였다. 그 결과 일축 압축강도는 수평면과 층리면이 이루는 각이 0$^{\circ}$, 90$^{\circ}$에서 최고 강도를, 60$^{\circ}$에서 최저 강도를 나타내었다. 또한 간접 인장시험과 점 하중시험, 탄성파시험에서는 90$^{\circ}$에서 최고값을, 0$^{\circ}$에서 최저값을 보였다. 그리고, 층리에 따른 퇴적압의 일축 압축강도를 간접 인장강도, 점하중강도와의 상관성을 분석하여 각각의 관계를 회귀분석을 통한 상관식으로 나타내었다. 추가적으로 층리에 따른 공학적특성을 정량적으로 나타내었다.

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Spatial Distribution Functions of Strength Parameters for Simulation of Strength Anisotropy in Transversely Isotropic Rock (횡등방성 암석의 강도 이방성 모사를 위한 강도정수 공간분포함수)

  • Lee, Youn-Kyou
    • Tunnel and Underground Space
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    • v.26 no.2
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    • pp.100-109
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    • 2016
  • This study suggests three spatial distribution functions of strength parameters, which can be adopted in the derivation of failure conditions for transversely isotropic rocks. All three proposed functions, which are the oblate spheroidal function, the exponential function, and the function based on the directional projection of the strength parameter tensor, consist of two model parameters. With assumption that the cohesion and friction angle can be described by the proposed distribution functions, the transversely isotropic Mohr-Coulomb criterion is formulated and used as a failure condition in the simulation of the conventional triaxial tests. The simulation results confirm that the failure criteria incorporating the proposed distribution functions could reproduce the general trend in the variations of the axial stress at failure and the directions of failure planes with varying inclination of the weankness planes and confining pressure. Among three distribution functions, the function based on the directional projection of the strength parameter tensor yields the highest axial strength, while the axial strength estimated by the oblate spheroidal distribution function is the lowest.

소성가공

  • Baek, Nam-Ju
    • Journal of the Korean Society for Precision Engineering
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    • v.1 no.1
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    • pp.23-29
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    • 1984
  • 소성역학에 의해서 소성가공중의 현상을 해석하여 제품의 형상, 강도, 잔유응력, 가공력, 가공한계 및 결함의 발생등을 견적하고 이것에 의해 가공기계의 강도, 강성 및 제어량등이 결정된다. 또 재질에 대한 지침이 얻어진다. 탄성론이나 소성론에서 경계치 문제는 응력젼위방정식, 응력의 경계조건, 변위에 관한 변위 스트레인 관계식과 변위의 경계조건, 그리고 응력과 스트레인을 관계시 키는 구성방정식으로 되어 있는 기초방정식으로 구성된다. 문제의 구성방정식은 재료의 거동이 매우 복잡하기 때문에 실제의 거동을 충실히 표시 할 수 없다. 재료의 이방성, 유한도형, 이방성주축의 회 전, 가공경화, 고온, 고속가공 등에 의해서 재료의 변형거동은 매우 복잡해진다. 이상의 정량적 고찰 과 전위 또는 결정의 슬립모델과 같은 정성적 고찰도 있다.

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Cleavage Dependent Indirect Tensile Strength of Pocheon Granite Based on Experiments and DEM Simulation (포천화강암의 결에 따른 간접인장강도 특성에 대한 실험 및 개별요소 수치해석)

  • Zhuang, Li;Diaz, Melvin B.;Jung, Sung Gyu;Kim, Kwang Yeom
    • Tunnel and Underground Space
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    • v.26 no.4
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    • pp.316-326
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    • 2016
  • The purpose of this study is to investigate the influence of cleavages on indirect tensile strength (ITS) of the granite. Brazilian disc tests and ring tests with three different hole sizes were performed. 2D DEM (Discrete Element Method) simulation was employed to further understand the failure process during the tests and the mechanism behind. Results show that ITS decreases across hardway, grain and rift cleavage. Measured average ITS from ring tests is about 2.5 ~ 6.4 times of those measured from Brazilian disc tests, and it decreases with increasing ratio of diameters of inner hole and specimen. Failure pattern in ring tests is influenced by both hole size and relative positions of cleavages parallel and perpendicular to the loading direction.

Estimation of Mechanical Representative Elementary Volume and Deformability for Cretaceous Granitic Rock Mass: A Case Study of the Gyeongsang Basin, Korea (경상분지 백악기 화강암 암반에 대한 역학적 REV 및 변형특성 추정사례)

  • Um, Jeong-Gi;Ryu, Seongjin
    • The Journal of Engineering Geology
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    • v.32 no.1
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    • pp.59-72
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    • 2022
  • This study employed a 3-D numerical analysis based on the distinct element method to estimate the strength and deformability of a Cretaceous biotite granitic rock mass at Gijang, Busan, Korea. A workflow was proposed to evaluate the scale effect and the representative elementary volume (REV) of mechanical properties for fractured rock masses. Directional strength and deformability parameters such as block strength, deformation modulus, shear modulus, and bulk modulus were estimated for a discrete fracture network (DFN) in a cubic block the size of the REV. The size of the mechanical REV for fractured rock masses in the study area was determined to be a 15 m cube. The mean block strength and mean deformation modulus of the DFN cube block were found to be 52.8% and 57.7% of the intact rock's strength and Young's modulus, respectively. A constitutive model was derived for the study area that describes the linear-elastic and orthotropic mechanical behavior of the rock mass. The model is expected to help evaluate the stability of tunnels and underground spaces through equivalent continuum analysis.

Development of Design Program for CFFT Structure (CFFT구조의 설계프로그램 개발)

  • Choi, Young-Min;Hwang, Yoon-Koog;Lee, Young-Ho;Lee, Jung-Howan;Kim, Dong-Chan
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2009.04a
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    • pp.549-552
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    • 2009
  • 본 논문에서는 재료적 성능이 우수하며 경량재료로서 최근 건설구조물에 활용하고자 하는 연구가 활발히 진행되고 있는 섬유보강재료(FRP : Fiber Reinforced Polymer)를 이용한 합성구조인 CFFT(Concrete Filled FRP Tube)의 설계프로그램을 개발하여 제안하고자 하였다. 먼저, CFFT구조는 FRP관에 의해 철근콘크리트가 구속되는 구조로서 기둥과 같이 축력이 도입되는 경우 포아송효과에 의한 변형을 FRP관이 구속효과를 줌으로써 콘크리트의 역학적 거동을 개선하게 되는데 본 연구에서는 실험에 의해 검증된 식을 제시하였으며 이를 바탕으로 CFFT구조를 설계하는 알고리즘을 제안하였다. 또한 CFFT구조는 FRP관의 구속으로 인해 고강도콘크리트와 긴장재의 도입이 가능한 구조로서 이에 대한 설계도 포함하였다. 그러나 이방성재료인 FRP의 설계와 동시에 FRP관에 의한 구속효과를 고려하는 CFFT구조의 설계는 일반 실무설계자들에게는 다소 난해한 작업으로써 전산화 설계프로그램의 필요성이 대두되어 본 연구에서 CFFT구조의 설계프로그램을 개발하였다. 개발된 설계프로그램의 검증을 위해 일반 철근콘크리트기둥, CFFT기둥, 고강도콘크리트와 PS긴장재를 도입한 CFFT기둥을 설계한 결과, 매우 실용적이며 타당한 설계가 수행될 수 있음을 확인하였다.

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An Analytical Study on the Buckling of Orthotropic Plates and Local Buckling of Compression Members (직교이방성 판의 좌굴 및 압축재의 국부좌굴에 대한 해석적 연구)

  • Choi, Jin-Woo;Lee, Kang-Yeon;Park, Jung-Hwan;Yoon, Soon-Jong
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.3 no.1
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    • pp.21-28
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    • 2012
  • In this paper, we present the analytical study results pertaining to the buckling of the orthotropic plates and local buckling of structural compression members composed of orthotropic plate components. Fiber reinforced polymeric plastic (FRP) materials, have many advantages over conventional structural materials such as steel and concrete. The advantages of the FRP materials are high specific strength and stiffness, high corrosion resistance, right weight, etc. Among the various manufacturing methods, pultrusion process is one of the best choices for the mass production of structural plastic members. Since the major reinforcing fibers are placed along the axial direction of the member, this material is usually considered as an orthotropic (tranversely isotropic, more specifically) material. However, pultruded fiber reinforced plastic structural members have low modulus of elasticity and are composed of orthotropic thin plate components the members are prone to buckle. Therefore, stability is an important issue in the design of the pultruded FRP structural members. In this paper, the buckling of orthotropic plates and the local buckling of pultruded FRP structural members are investigated by following the previous research results and the local buckling strength of the member produced in the domestic manufacturer is found.

Failure Strength Analysis of Simply Supported Sandwich Slab Bridges made by Composite Materials (복합재료로 만들어진 단순지지 샌드위치 슬래브 교량의 파괴강도해석)

  • Han, Bong-Koo;Kim, Se-Won
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.11 no.1
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    • pp.77-84
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    • 2007
  • In this paper presented, a design method of sandwich slab bridge of simple supported made by composite materials. Many of the bridge systems, including the girders and cross-beams, and concrete decks behave as the special orthotropic plates. Such systems with sections, boundary conditions other than Navier or Levy solution types, or with irregular cross sections, analytical solution is very difficult to obtain. Thus, Finite Difference Method is used for analysis of the pertinent problem. For the design of bridge made by the composite materials, cross-section is used the form-core shape because of this shape is economical and profitable, and for output of the stress value used F.D.M. Based the experimental of a composite specialist, an equation expressing the rate of decrease of tensile strength of glass fibers based on increase of mass was obtained. From these equations, one can estimate the rate of tensile strength reduction due to increased size. Tasi-Wu failure criterion for stress space is used. Strength-failure analysis procedure, using these reduced tensile strength, is presented.