• 제목/요약/키워드: anisotropic mass

검색결과 82건 처리시간 0.023초

이방성 암석의 탄성상수 분석연구 (Analysis of Elastic Constants of an Anisotropic Rock)

  • 박철환
    • 터널과지하공간
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    • 제11권1호
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    • pp.59-63
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    • 2001
  • 이방성 암석에서 결정되어야 할 탄성상수의 수는 전부 9개이므로 실험적으로 얻기 매우 어렵다. 대부분의 암반체는 등방성 또는 펑면이방성으로 해석할 수 있어 독립적 탄성상수의 수는 감소하며, 평면이방성체에서는 5개이다. 실험실 시험을 통하여 하나의 평면이방성체 시험편으로 얻을 수 있는 응력-변형률 관계식은 4개 뿐이므로 5개의 독립적 탄성상수를 결정하는 것은 이론적으로 불가능하다. Lekhnitskii는 많은 실험을 통하여 제 5의 관계식을 설정하여 이를 해결하였지만, 이 식은 이론적으로나 실제값과 비교하면 오차를 갖고 있다. 본 연구는 이방성체에서 응력-변형률의 관계와 탄성상수의 독립성에 대하여 설명하고 있으며, 한개의 평면이방성 시험편에서 5개의 독립적 탄성상수를 결정하는 실험실 시험법을 제시하고 있다.

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Free vibrations of anisotropic rectangular plates with holes and attached masses

  • Rossit, C.A.;Ciancio, P.M.
    • Structural Engineering and Mechanics
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    • 제28권1호
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    • pp.53-67
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    • 2008
  • Anisotropic materials are increasingly required in modern technological applications. Certainly, civil, mechanical and naval engineers frequently deal with the situation of analyzing the dynamical behaviour of structural elements being composed of such materials. For example, panels of anisotropic materials must sometimes support electromechanical engines, and besides, holes are performed in them for operational reasons e.g., conduits, ducts or electrical connections. This study is concerned with the natural frequencies and normal modes of vibration of rectangular anisotropic plates supported by different combinations of the classical boundary conditions: clamped, simply - supported and free, and with additional complexities such holes of free boundaries and attached concentrated masses. A variational approach (the well known Ritz method) is used, where the displacement amplitude is approximated by a set of beam functions in each coordinate direction corresponding to the sides of the rectangular plate. Consequently each coordinate function satisfies the essential boundary conditions at the outer edge of the plate. The influence of the position and magnitude of both hole and mass, on the natural frequencies and modal shapes of vibration are studied for a generic anisotropic material. The classical Ritz method with beam functions as spatial approximation proved to be a suitable procedure to solve a problem of such analytical complexity.

Undrained solution for cavity expansion in strength degradation and tresca soils

  • Li, Chao;Zou, Jin-feng;Sheng, Yu-ming
    • Geomechanics and Engineering
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    • 제21권6호
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    • pp.527-536
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    • 2020
  • An elastic-plastic solution for cavity expansion problem considering strength degradation, undrained condition and initial anisotropic in-situ stress is established based on the Tresca yield criterion and cavity expansion theory. Assumptions of large-strain for plastic region and small-strain for elastic region are adopted, respectively. The initial in-situ stress state of natural soil mass may be anisotropic caused by consolidation history, and the strength degradation of soil mass is caused by structural damage of soil mass in the process of loading analysis (cavity expansion process). Finally, the published solutions are conducted to verify the suitability of this elastic-plastic solution, and the parametric studies are investigated in order to the significance of this study for in-situ soil test.

Created cavity expansion solution in anisotropic and drained condition based on Cam-Clay model

  • Li, Chao;Zoua, Jin-Feng
    • Geomechanics and Engineering
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    • 제19권2호
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    • pp.141-151
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    • 2019
  • A novel theoretical solution is presented for created (zero initial radius) cavity expansion problem based on CamClay model and considers the effect of initial anisotropic in-situ stress and drained conditions. Here the strain of this theoretical solution is small deformation in elastic region and large deformation in plastic region. The works for cylindrical and spherical cavities expanding in drained condition from zero initial radius are investigated. Most of the conventional solutions were based on the isotropic and undrained condition, however, the initial stress state of natural soil mass is anisotropy by soil deposition history, and drained cavity expansion calculation is closer to actual engineering in permeable soil mass. Finally, the parametric study is presented in order to the engineering significance of this work.

개별요소법에 의한 사면 안정성 연구(토플링 파괴 메카니즘에 응용) (Analysis of Slope Stability by the Distinct Element Method(Application to the Toppling Mechanisms))

  • 한공창
    • 터널과지하공간
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    • 제3권1호
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    • pp.96-107
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    • 1993
  • This paper deals with the analysis of rock slope stability using the distinct element method. This method consists in analysis of the interaction of discrete block assemblage delimited by elementary joints, which permits to consider the heterogeneous, anisotropic and discontinuous features of the rock mass. In particular, we were able to show that this method, and especially the BRIG3D software, is an outstanding tool which gives informations of greatest interest in order to analyze the toppling mechanisms. We have confirmed the fundamental role of the rock mass structure with different simulations. In the case of toppling phenomena, the essential parameter is the dip of major discontinuities. It has an influence on the intensity and volume of deformations. The anisotropic and heterogeneous features of the rock mass play also an important role. It is proved by insertion of thick rock bars in the structure or varying rock block sizes in the mass. These models modified considerably the stress distribution and the deformation distribution. Finally, we have analyzed the influence of mechanical parameters such as friction angle and tangential stiffness.

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굴착면에서의 분리면방향성 평가 (Estimation of Discontinuity Orientations in Excavation Faces)

  • 노병돈;한병현
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2005년도 춘계 학술발표회 논문집
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    • pp.1484-1489
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    • 2005
  • An inhomogeneous and anisotropic rock has different properties at different location. Thus, this refers to any of the properties which we may be measuring. There are two concepts of rock mass, namely, CHILE(Continuous, Homogeneous, Isotropic, Linear Elastic) material and DIANE(Discontinuous, Inhomogeneous, Anisotropic, Non-linear Elastic) rock. The former is essentially the properties of intact rock, the latter is essentially the properties governed by the structure of rock. In geotechnical aspect, the most important parameter is strength of rock or rock mass. In particular, characteristics of strength of rock mass depend upon the orientation of discontinuities And this orientation of discontinuities has different properties at different direction of excavation. Therefore, it needs for characterization of different properties of discontinuity orientation against different direction of excavation.

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Elasto-plastic solution for cavity expansion problem in anisotropic and drained soil mass

  • Li, Chao;Zou, Jin-feng;Li, Liang
    • Geomechanics and Engineering
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    • 제19권6호
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    • pp.513-522
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    • 2019
  • This study presents an elasto-plastic (EP) solution for drained cavity expansion on the basis of unified strength failure criterion and considers the influence of initial stress state. Because of the influence of initial consolidation of soil mass, the initial stress may be anisotropic in the natural soil mass. In addition, the undrained hypothesis is usually used in the calculation of cavity expansion problem, but most of the cases are in the drained situation in practical engineering. Eventually, the published solution and the presented solution are compared to verify the suitability of the study.

평면이방성 암반에서 선하중에 의한 응력분포 특성 (Stress Distribution Under Line Load in Transversely Isotropic Rock Mass)

  • 이연규
    • 터널과지하공간
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    • 제15권4호
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    • pp.288-295
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    • 2005
  • 암반은 여러 가지 지질학적 요인에 기인한 역학적 결함을 많이 포함하고 있기 때문에 이방성 거동을 보이는 경우가 대부분이다. 그러므로 안정한 암반구조물이나 암반기초의 설계를 위해서는 이방성 암반에서 응력분포의 특성을 이해하는 것이 매우 중요하다. 이 연구에서는 반무한 평면이방성 지반의 표면에 선하중이 작용할 때 지반에 야기되는 탄성응력 분포의 특성을 고찰하였다. 절리의 강성과 절리의 간격, 경사각이 응력분포 형태에 미치는 영향이 검토되었다. 절리면의 미끄러짐 조건으로 Mohr-Coulomb 식을 가정할 경우, 절리면을 통한 미끄러짐이 발생할 수 있는 영역에 대한 고찰도 수행되었다.

원전내 이방성 용접부에 대한 초음파검사의 정밀 수치 모델링 (Accurate numerical modeling for ultrasonic testing of anisotropic welds in nuclear power plants)

  • 임현준
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 추계학술대회 논문집 전력기술부문
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    • pp.101-105
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    • 2001
  • Due to their elastic anisotropy, ultrasonic testing of austenitic welds, frequently used in nuclear power plants, is much more difficult than that of isotropic elements. For accurate testing of austenitic welds, ultrasonic wave phenomena therein must be full understood. This study uses an accurate and effective numerical model, the mass-spring lattice model, for such phenomena. By comparing the numerical results with the corresponding analytical results, it is shown that the model is capable of accurately predicting the generation, reflection, refraction, and scattering phenomena of ultrasonic waves in anisotropic austenite welds. Therefore, the mass-spring lattice model will provide a very useful tool for simulating ultrasonic testing of austenitic welds, and thus will contribute to the enhancement of reliability of such ultrasonic testing.

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