• 제목/요약/키워드: Principal Stress

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Effect of Intermediate Principal Stress on Rock Fractures

  • Chang, Chan-Dong
    • 한국지구과학회지
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    • 제25권1호
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    • pp.22-31
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    • 2004
  • Laboratory experiments were conducted in order to find effects of the intermediate principal stress of ${\sigma}_{2}$ on rock fractures and faults. Polyaxial tests were carried out under the most generalized compressive stress conditions, in which different magnitudes of the least and intermediate principal stresses ${\sigma}_{3}$ and ${\sigma}_{2}$ were maintained constant, and the maximum stress ${\sigma}_{1}$, was increased to failure. Two crystalline rocks (Westerly granite and KTB amphibolite) exhibited similar mechanical behavior, much of which is neglected in conventional triaxial compression tests in which ${\sigma}_{2}$ = ${\sigma}_{3}$. Compressive rock failure took the form of a main shear fracture, or fault, steeply dipping in ${\sigma}_{3}$ direction with its strike aligned with ${\sigma}_{2}$ direction. Rock strength rose significantly with the magnitude of ${\sigma}_{2}$, suggesting that the commonly used Mohr-type failure criteria, which ignore the ${\sigma}_{2}$ effect, predict only the lower limit of rock strength for a given ${\sigma}_{3}$ level. The true triaxial failure criterion for each of the crystalline rocks can be expressed as the octahedral shear stress at failure as a function of the mean normal stress acting on the fault plane. It is found that the onset of dilatancy increases considerably for higher ${\sigma}_{2}$. Thus, ${\sigma}_{2}$ extends the elastic range for a given ${\sigma}_{3}$ and, hence, retards the onset of the failure process. SEM inspection of the micromechanics leading to specimen failure showed a multitude of stress-induced microcracks localized on both sides of the through-going fault. Microcracks gradually align themselves with the ${\sigma}_{1}$-${\sigma}_{2}$ plane as the magnitude of ${\sigma}_{2}$ is raised.

Mohr-Coulomb 파괴곡면에 근사하는 암석의 3차원 파괴조건식 고찰 (Study on a 3-Dimensional Rock Failure Criterion Approximating to Mohr-Coulomb Surface)

  • 이연규
    • 터널과지하공간
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    • 제21권2호
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    • pp.93-102
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    • 2011
  • 암석의 파괴조건식으로 Mohr-Coulomb 및 Hoek-Brown 함수가 널리 이용되고 있으나 이들 함수는 중간주 응력을 고려할 수 없다는 단점이 있다. 최근의 연구결과에 의하면 암석의 파괴강도는 중간주응력의 크기에 많은 영향을 받는 것으로 나타났다. 따라서 주요 암반구조물의 안전설계를 위해서는 중간주응력이 고려된 3차원 암석파괴조건식이 도입될 필요성이 있다. 이 연구에서는 주응력좌표계의 자오면에서 선형으로 나타나며 또한 Mohr-Coulomb 파괴곡면의 모서리에 부드럽게 접하는 3차원 파괴함수인 Jiang & Pietruszczak(1988) 함수가 암석의 진삼축압축강도 예측에 활용될 수 있는 가능성에 대하여 논의하였다. Jiang & Pietruszczak 함수를 이용하여 실제 진삼축압축시험 결과를 모사함으로써 이 함수의 성능을 평가하였다.

중간주응력(中間主應力)이 과압밀점토(過壓密粘土)의 거동(擧動)에 미치는 영향(影響) (Influence of the Intermediate Principal Stress on Behavior of Overconsolidated Clay)

  • 홍원표
    • 대한토목학회논문집
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    • 제8권2호
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    • pp.99-107
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    • 1988
  • 과압밀점토(過壓密粘土)에 대한 일련의 입방형삼축시험(立方型三軸試驗)이 실시되었다. 삼축시험(三軸試驗)은 세 주응력(主應力)을 서로 독립적으로 제어시킬 수 있는 입방체형삼축시험기(立方體型三軸試驗機)를 사용하여 실시되었다. 점토공시체(粘土供試體)로는 현장(現場)에서 직접 채취된 자연시료(自然試料)를 삼축(三軸) chamber 내(內)에서 과압밀비(過壓密比)가 5가 되게 만든 입방체형공시체(立方體型供試體)가 사용되었으며 본연구결과(本硏究結果), 중간주응력(中間主應力)은 과압밀점토(過壓密粘土)의 응력변형률(應力變形率), 비배수강도(非排水强度), 유효강도(有效强度), 유효내부마찰각(有效內部摩擦角) 및 간극압(間隙壓)에 큰 영향을 미치고 있음이 구명(究明)되었다. 중간주응력(中間主應力)이 최소주응력(最小主應力)과 같지 않은 경우의 과압밀점토파괴강도(過壓密粘土破壞强度)는 Mohr-Coulomb 파괴규준(破壞規準)에 의하여 과소평가(過小評價)되나 Lade규준(規準)에 의하여는 대단히 양호하게 산정된다. 또한 과압밀점토(過壓密粘土)의 비배수강도(非排水强度)는 Tresca규준(規準)에 일치하지 않는다.

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304 스테인리스 박강판 IB형 점용접이음재의 피로강도 평가 Part 1 : 최대 주응력에 의한 평가 (Fatigue Strength Evaluation on the IB-Type Spot-welded Lap Joint of 304 Stainless Steel Part 1 : Maximum Principal Stress)

  • 손일선;오세빈;배동호
    • Journal of Welding and Joining
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    • 제17권6호
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    • pp.25-31
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    • 1999
  • Stainless steel sheets are commonly used for vehicles such as the bus and the train. These are mainly fabricated by spot-welding. By the way, its fatigue strength is lower than base metal due to high stress concentration at the nugget. edge of the spot-welding. By the way, its fatigue strength is lower than base metal due to high stress concentration at the nugget edge of the spot-welding point. Especially, it is influenced by welding conditions as well as geometrical factors of spot welded joint. Therefore, it is not too much to say that structural rigidity and strength of spot-welded structures is decided by fatigue strength of spot welded lap joint. Thus, it is necessary to establish a reasonable and systematic long life design criterion for the spot-welded structure. In this study, numerical stress analysis was performed by using 3-dimensional finite element model on IB-type spot-welded lap joint of 304 stainless steel sheet under tension-shear load. Fatigue tests were also conducted on them having various thickness, joint angle, lapped length, and width of the plate. From the results, it was found that fatigue strength of IB-type spot-welded lap joints was influenced by its geometrical factors, however, could be systematically rearranged by maximum principal stress ({TEX}$σ_{1max}${/TEX}) at the nugget edge of the spot-welding point.

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Brittle Deformation History Based on the Analyses of Dikes and Faults within Sedimentary Rocks on Geoje Island, SE Korea

  • Hategekimana, Francois;Kim, Young-Seog
    • 지질공학
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    • 제31권3호
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    • pp.239-255
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    • 2021
  • Kinematic analyses of magmatic intrusions and faults can provide useful information on stress conditions and chronological relationships between dike emplacement and brittle deformation events. We studied structures in rocks exposed on a coastal platform in Geoje Island off the southern Korean Peninsula because of its well-developed dikes and faults. The geology of the study area includes the Cretaceous Seongpo-ri Formation, which is composed mostly of shale, sandstone, and hornfels intruded by magmatic dikes. Most of the dikes are developed along pre-existing structural features (faults and fractures), indicating that their emplacements were structurally controlled. Because dikes commonly open along the direction of the minimum principal stress, the direction of this stress can be obtained from dike geometry and orientation through the matching of piercing points on either side of a dike. In addition, the deformed dikes can give information regarding later deformation. On the basis of the kinematic analyses, we identified five deformation events in the study area, which are kinematically related to changes of the regional maximum principal stress. Results indicate that the structures in the study area have been controlled predominantly by episodes of reactivation of the NNE-trending Yangsan strike-slip fault, located to the northeast of the study area, under different stress regimes. In a wider tectonic context, the brittle deformation of the rocks of Geoje Island was probably induced by interactions among the Philippine Sea, Pacific, and Eurasian plates, including changes in subduction parameters with respect to the latter two plates over time.

응력이 공내 변형률에 미치는 영향 (The Effect of Stress on Borehole Deformability)

  • 윤건신
    • 한국지반공학회지:지반
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    • 제14권5호
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    • pp.219-234
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    • 1998
  • 초기수평 응력상태를 모사하여 응력이 변형계수에 미치는 영향을 검토 하기 위하여 암석 시료에 대하여 공내재하 변형 실내시험을 했다. 실험은 수평 응력의 크기, 응력비, 측정지점을 변화 시켜서 변형계수를 측정하였다. 측정결과 응력의 크기가 증가함에 따라 변형계수가 증가하며 최대 최소응력비가 커짐에 따라 변형계수는 최소응력 방향에서는 증가하고, 최대응력 방향에서는 감소하는 경향을 보였다. 이는 측정 위치에서 접선음력의 크기 변화에 따른 것으로 초기응력의 크기, 방향 및 내압의 크기에 따라 응력이 압축, 인장 또는 압축-인장상태로 바뀌기 때문이다. 따라서 변형 계수 측정시 이들의 영향을 분석한 후 결과치를 해석하여야 한다. 이와 같은 해석은 공내재하 변형 측정 결과 뿐만 아니라 내압이 있는 가스 저장 또는 압축터널 설계 및 터널 계측 결과 해석에도 적용 되어야 한다.

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노면에 접촉된 자동차 타이어의 응력 해석 (Stress Analysis of Automotive Tire at Contact on Road Surface)

  • 조재웅;한문식
    • 한국기계가공학회지
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    • 제8권2호
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    • pp.40-45
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    • 2009
  • This study is analyzed by stress contour of automotive tire at contact on road surface. Maximum equivalent stress as 61200Pa is shown on the lower mid part in case of tire contacted on road surface. As the air pressure of tire increases, maximum total deformation as 5mm is shown on the side part of tire. It can be shown that the side part of tire is unstabilized. There is no load effect on tire at its upper and lower directions. When the moment applied on the side of tire is increased 1.4 times as its value, the value of maximum principal stress is increased 1.4 times. The stress at the tire is in proportion to the moment applied on the its side. The tire tends to incline toward its side by this moment.

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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.

3차원 유한요소법을 이용한 나노압입에 의한 균열발생 하한계 해석 (Cracking Threshold Analysis for Nanoindetation Using 3D Finite-Element Method)

  • 구재민
    • 대한기계학회논문집A
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    • 제28권3호
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    • pp.304-310
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    • 2004
  • In this paper, cracking threshold for nanoindentation is analyzed by using 3D finited-element method. The analysis by maximum principal stress criterion can obtain the reliable results for determining to crack initiation location and load. Because the ratio of maximum principal stress to indentation depth for Victors indentation is smaller than flat-plane-column indentation and cracking for Victors indentation occurs from the inner part of specimen difficult to measure crack length, the nanoindentation facture test for flat-plane-column indentation is more effective.