• 제목/요약/키워드: Principal Stress Direction

검색결과 107건 처리시간 0.025초

Undrained strength-deformation characteristics of Bangkok Clay under general stress condition

  • Yimsiri, Siam;Ratananikom, Wanwarang;Fukuda, Fumihiko;Likitlersuang, Suched
    • Geomechanics and Engineering
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    • 제5권5호
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    • pp.419-445
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    • 2013
  • This paper presents an experimental study on the influence of principal stress direction and magnitude of intermediate principal stress on the undrained stress-strain-strength behaviors of Bangkok Clay. The results of torsional shear hollow cylinder and advanced triaxial tests with various principal stress directions and magnitudes of intermediate principal stress on undisturbed Bangkok Clay specimens are presented. The analysis of testing results include: (i) stress-strain and pore pressure behaviors, (ii) stiffness characteristics, and (iii) strength characteristics. The results assert clear evidences of anisotropic characteristics of Bangkok Clay at pre-failure and failure conditions. The magnitude of intermediate principal stress for plane-strain condition is also investigated. Both failure surface and plastic potential in deviatoric plane of Bangkok Clay are demonstrated to be isotropic and of circular shape which implies an associated flow rule. It is also observed that the shape of failure surface in deviatoric plane changes its size, while retaining its circular shape, with the change in direction of major principal stress. Concerning the behavior of Bangkok Clay found from this study, the discussions on the effects of employed constitutive modeling approach on the resulting numerical analysis are made.

K0-압밀점토(壓密粘土)의 주응력회전(主應力回轉) 효과(効果) (The Effects of Principal Stress Rotation in K0-Consolidated Clay)

  • 홍원표
    • 대한토목학회논문집
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    • 제8권1호
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    • pp.159-164
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    • 1988
  • 연직하중(鉛直荷重), 구속압(拘束壓) 및 torque를 각각 독립적으로 작용시킬 수 있는 비틀림전단시험(剪斷試驗)을 실시하여 주응력축(主應力軸)을 회전(回轉)시켰을 경우, 변형율증분방향(變形率增分方向)과 응력방향(應力方向) 혹은 응력증분방향(應力增分方向) 사이의 관계가 조사되었다. 이 비틀림전단시험(剪斷試驗)은 $K_0$-압밀점토시료(壓密粘土試料)에 대하여 비배수(非排水) 및 배수(排水) 상태하에서 주응력축회전(主應力軸回轉)이 가능한 전 응력경로(應力徑路)로 실시되었다. 본(本) 연구(硏究)결과 파괴시의 변형율증분(變形率增分)벡터의 방향은 응력(應力)벡터방향과 일치함을 알 수 있었다. 즉 변형율증분(變形率增分)벡터방향은 초기의 낮은 응력단계(應力段階)에서는 응력증분(應力增分)벡터 방향과 일치하지만 높은 응력단계(應力段階)에서는 응력(應力)벡터방향과 일치하게 된다. 이는 점토(粘土)의 거동(擧動)이 응력의 증가에 따라 탄성(彈性)에서 소성(塑性)으로 변천되어 감을 의미한다. 따라서 주응력축회전(主應力軸回轉)시의 점토거동(粘土擧動)의 구성식화(構成式化)에는 탄소성이론(彈塑性理論)의 적용이 가능함이 입증되었다.

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TWO DIMENSIONAL STUDY OF HYDRAULIC FRACTURING CRITERIA IN COHESIVE SOILS

  • 유택영사
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 1994년도 연약지반처리위원회 봄 학술발표회 논문집 연약지반처리
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    • pp.3-12
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    • 1994
  • Based on the shear failure mechanism, hydraulic fracturing criteria are extended to three dimensional stress state. According to the situation of the directions of borehole and major principal stress axes, three equations can be derived for three dimensional hydraulic fracturing problems. By comparing these equations, a single criterion is selected for hydraulic fracturing pressure in cohesive soils. The criterion is a function of maximum principal stress, minimum principal stress and soil parameters in UU conditions. The equation indicates that with any increase in maximim principal stress, hydraulic fracturing pressure decreases. In order to prove the integrity of the criteria, laboratory tests are performed on compacted cubical specimens using true a triaxial apparatus. The shape and direction of fractures are determined by injecting colored water after fracture initiation. It is found that the direction of fractures are perpendicular to the o1 plane.

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직방성체에서 재료주축과 경사진 균열의 임계응력 (Critical Stress for a Crack Inclined to Princinal Material Direction in Orthotropic Material)

  • 임원균;조형석
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 추계학술대회
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    • pp.1021-1026
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    • 2003
  • The problem of predicting the fracture strength behavior in orthotropic plate with a crack inclined with respect to the principal material axes is analyzed. Both the load to cause fracture and the crack direction of crack growth arc of interest. The theoretical results based on the normal stress ration theory show significant effects of biaxial loading and the fiber orientation on the crack growth angle and the critical stress. The additional term in the asymptotic expansion of the crack tip stress field appears to provide more accurate critical stress prediction.

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Eigenanalysis법(法)에 의(依)한 현지응력(現地應力) 측정치(測定値)의 해석(解析) (The Interpretation of Stress Measured Results by Eigenanalysis)

  • 임한욱;김웅수
    • 산업기술연구
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    • 제2권
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    • pp.53-60
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    • 1982
  • A strain gage relief technique was used to determine the magnitude and directions of a virgin principal stresses, but the values measured in the same borehole are always not consistent. This paper has shown the use of the eigen analysis to achieve precise and reliable principal stress from measured values. The best fit stress ellipsoid to the data has been obtained through consideration of direction cosine of each principal stress.

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횡등방성 암반 내 터널의 이방성 해석 (Anisotropic Analysis of Tunnel in Transversely Isotropic Rock)

  • 최미진;양형식
    • 터널과지하공간
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    • 제15권6호
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    • pp.391-399
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    • 2005
  • 본 연구에서는 횡등방성 암반에서 이방성 정도에 따른 응력 차와 3차원 주응력 하의 터널방향, 이방성 정도에 따른 터널 단면에서의 2차원 응력 차를 이론적으로 구하였다. 구해진 응력상황 하의 터널에 대하여 $FLAC^{2D}$를 이용하여 이방성 고려여부에 따른 천단, 측벽, 바닥의 응력 차를 비교${\cdot}$검토하였다. 그 결과 이방성을 무시할 경우 응력 조건에 무관하게 주응력의 크기와 방향이 다르게 나타나며, 이방성 정도가 커질수록 응력차가 증가함을 알 수 있다. 이방성의 방향에 따라 응력 차가 달리 나타나며, 특히 이방성의 방향이 x축으로부터 시계반대방향으로 $45^{\circ}$$135^{\circ}$에서 가장 큰 응력 차가 발생함을 확인하였다.

Experimental study on propagation behavior of three-dimensional cracks influenced by intermediate principal stress

  • Sun, Xi Z.;Shen, B.;Zhang, Bao L.
    • Geomechanics and Engineering
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    • 제14권2호
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    • pp.195-202
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    • 2018
  • Many laboratory experiments on crack propagation under uniaxial loading and biaxial loading have been conducted in the past using transparent materials such as resin, polymethyl methacrylate (PMMA), etc. However, propagation behaviors of three-dimensional (3D) cracks in rock or rock-like materials under tri-axial loading are often considerably different. In this study, a series of true tri-axial loading tests on the rock-like material with two semi-ellipse pre-existing cracks were performed in laboratory to investigate the acoustic emission (AE) characteristics and propagation characteristics of 3D crack groups influenced by intermediate principal stress. Compared with previous experiments under uniaxial loading and biaxial loading, the tests under true tri-axial loading showed that shear cracks, anti-wing cracks and secondary cracks were the main failure mechanisms, and the initiation and propagation of tensile cracks were limited. Shear cracks propagated in the direction parallel to pre-existing crack plane. With the increase of intermediate principal stress, the critical stress of crack initiation increased gradually, and secondary shear cracks may no longer coalesce in the rock bridge. Crack aperture decreased with the increase of intermediate principal stress, and the failure is dominated by shear fracturing. There are two stages of fracture development: stable propagation stage and unstable failure stage. The AE events occurred in a zone parallel to pre-existing crack plane, and the AE zone increased gradually with the increase of intermediate principal stress, eventually forming obvious shear rupture planes. This shows that shear cracks initiated and propagated in the pre-existing crack direction, forming a shear rupture plane inside the specimens. The paths of fracturing inside the specimens were observed using the Computerized Tomography (CT) scanning and reconstruction.

2개의 성장 균열들의 상호작용에 관한 응력확대계수 해석 (Analysis of Stress Intensity Factors for Interacting Two Growing Cracks)

  • 박성완
    • 한국생산제조학회지
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    • 제9권5호
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    • pp.47-57
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    • 2000
  • In this study, a fundamental approach to make clear the mechanism of the mutual interference and coalescence of stress fields in the vicinity of two crack tips on the process of their slow growth, using boundary element method. Automatic generation of quadratic discontinuous elements along both of the crack boundaries which can be defined by an arbitrary piece-wise straight geometry. The direction of the crack-extension increment is predicted by the maximum principal stress criterion, corrected to account for the discreteness of the crack extension. Along the computed direction, the crack is extended one increment. Automatic incremental crack-extension analysis with no remeshing, computation of the stress intensity factors by J-integral. Numerical stress intensity factors for two growing cracks in plane-homogeneous regions were determined.

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광탄성 위상이동법을 이용한 주응력 방향 측정법 (Measurement of Principal Stress Direction by Photoelastic Phase Shifting Method)

  • 김명수;김환;백태현
    • 대한기계학회논문집A
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    • 제28권12호
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    • pp.1982-1989
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    • 2004
  • In photoelasticity, the directions of principal stresses are given by isoclinic fringe patterns. In this study, photoelastic theory is represented by Jones calculus and the photoelastic 8-step phase shifting method is described. A feasibility study using computer simulation is done to get isoclinics from photoelastic fringes of a circular disk under diametral compression. Fringe patterns of the disk are generated from the stress-optic law. The magnitudes of isoclinics obtained from the fringe patterns of computer simulation and experiment are compared with those of theory. The results are close between them. Then, the 8-step phase shifting method is applied to get distributions of isoclinics along the specified lines of a cuved beam plate under tensile load. Experimental results obtained from the phase shifting method were compared with those of finite element analysis (ANSYS). It is confirmed that measurement of isoclinic distributions is possible by use of photoelasitc phase shifting method.

Distortion and Dilatatioin in the Tensie Failure of Paper

  • Park, Jong-Moon;James L. Thorpe
    • 펄프종이기술
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    • 제31권5호
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    • pp.73-85
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    • 1999
  • Yield and fracture are separated in the tensile failure of paper. Failure in the machine direction of photocopy paper is contrasted with failure in the cross-machine direction . The ratios of distortion (shape change) to dilatation (volume change) for individual elements at yield and fracture are described. The ratios of distortion to dilatation are measured and compared to predicted values of the strain energy density theory. To evaluate the effect of the angle from the principal material direction on the strain energy density theory. To evaluate the effect of the angle from the principal material direction on the strain energy density factor, samples are prepared from machine direction to cross-machine direction in 15 degree intervals. the strain energy density of individual elements are obtained by the integration of stress from finite element analysis with elastic plus plastic strain energy density theory. Poison's ratio and the angle from the principal material direction have a great effect ion the ratio fo distortion to dilatation in paper. During the yield condition, distortion prevails over dilatation . At fracture, dilatation is at a maximum.

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