• 제목/요약/키워드: Principal Stress Direction

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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.

Shear response estimate for squat reinforced concrete walls via a single panel model

  • Massone, Leonardo M.;Ulloa, Marco A.
    • Earthquakes and Structures
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    • 제7권5호
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    • pp.647-665
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    • 2014
  • Squat reinforced concrete walls require enough shear strength in order to promote flexural yielding, which creates the need for designers of an accurate method for strength prediction. In many cases, especially for existing buildings, strength estimates might be insufficient when more accurate analyses are needed, such as pushover analysis. In this case, estimates of load versus displacement are required for building modeling. A model is developed that predicts the shear load versus shear deformation of squat reinforced concrete walls by means of a panel formulation. In order to provide a simple, design-oriented tool, the formulation considers the wall as a single element, which presents an average strain and stress field for the entire wall. Simple material constitutive laws for concrete and steel are used. The developed models can be divided into two categories: (i) rotating-angle and (ii) fixed-angle models. In the first case, the principal stress/strain direction rotates for each drift increment. This situation is addressed by prescribing the average normal strain of the panel. The formation of a crack, which can be interpreted as a fixed principal strain direction is imposed on the second formulation via calibration of the principal stress/strain direction obtained from the rotating-angle model at a cracking stage. Two alternatives are selected for the cracking point: fcr and 0.5fcr (post-peak). In terms of shear capacity, the model results are compared with an experimental database indicating that the fixed-angle models yield good results. The overall response (load-displacement) is also reasonable well predicted for specimens with diagonal compression failure.

구조해석을 통한 안전블록 설계 최적화 (Optimization of Design of Safety Block by Structural Analysis)

  • 남기우;권효성;손창석
    • 동력기계공학회지
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    • 제14권3호
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    • pp.71-76
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    • 2010
  • The safety block which prevents drop of laborers at high altitude was analyzed by finite element method. Elastic analysis was done by Ansys ver. 11.0. and tetrahedral meshing was used. As load applied more vertically at the fixed face of saw tooth, the stress concentration became smaller and the load distributed broader. When load worked at saw tooth and the shape was more straight to the direction of load, most stresses except principal stress became smaller. When the area of the load increased, principal stress and equivalent stress could be decreased simultaneously. A principal stress and other various stresses occurred in 3D shape, therefore revised model which has smaller equivalent stress than other models shows excellence on the stability and the credibility.

유한요소법에 의한 공구인선의 응력분포에 관한 연구

  • 김정두
    • 한국정밀공학회지
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    • 제1권1호
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    • pp.50-58
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    • 1984
  • In the present paper are calculated and compared the stresses on the normal tools and the restricted tools which have three various rake angles by Least Square Method. The results obtained are summerized as follows. The tool displacement at rake angle .alpha. = 12 .deg. and .alpha. = 0 .deg. is positive value in the principal cutting direction and negative value in the feed direction. At rake angle .alpha. = -12 .deg. the displacement is negative value in both of directions. The principal stress of the restricted and normal tool is maximum at the tip of the tool, the shear stress is maximum after a certain distance from the tip. The result of FEM and P.E method shows that in the range of rapid decreasing of normal stress of the tool edge, the shear stress is maintaining a certain value. This is due to the friction characteristic of the chip.

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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.

Hydraulic fracturing experiments of highly deviated well with oriented perforation technique

  • Zhu, Hai Y.;Deng, Jin G.;Liu, Shu J.;Wen, Min;Peng, Cheng Y.;Li, Ji R.;Chen, Zi J.;Hu, Lian B.;Lin, Hai;Guang, Dong
    • Geomechanics and Engineering
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    • 제6권2호
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    • pp.153-172
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    • 2014
  • In order to investigate the effect of different perforation angles (the angle between the perforation direction and the maximum horizontal principal stress) on the fracture initiation and propagation during hydraulic fracturing of highly deviated well in oil & gas saturated formation, laboratory experiments of the hydraulic fracturing had been carried out on the basis of non-dimensional similar criteria by using 400^3 $mm^3$ cement cubes. A plane fracture can be produced when the perforations are placed in the direction of the maximum horizontal principal stress. When the perforation angle is $45^{\circ}$, the fractures firstly initiate from the perforations at the upper side of the wellbore, and then turn to the maximum horizontal principal stress direction. When the well deviation angle and perforation angle are both between $45^{\circ}$ and $90^{\circ}$, the fractures hardly initiate from the perforations at the lower side of the wellbore. Well azimuth (the angle between the wellbore axis and the maximum horizontal principal stress) has a little influence on the fracture geometries; however it mainly increases the fracture roughness, fracture continuity and the number of secondary fractures, and also increases the fracture initiation and propagation pressure. Oriented perforating technology should be applied in highly deviated well to obtain a single plane fracture. If the well deviation angle is smaller, the fractures may link up.

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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Influence of elastic T-stress on the growth direction of two parallel cracks

  • Li, X.F.;Tang, B.Q.;Peng, X.L.;Huang, Y.
    • Structural Engineering and Mechanics
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    • 제34권3호
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    • pp.377-390
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    • 2010
  • This paper studies fracture initiation direction of two parallel non-coplanar cracks of equal length. Using the dislocation pile-up modelling, singular integral equations for two parallel cracks subjected to mixed-mode loading are derived and the crack-tip field including singular and non-singular terms is obtained. The kinking angle is determined by using the maximum hoop stress criterion, or the ${\sigma}_{\theta}$-criterion. Results are presented for simple uniaxial tension and biaxial loading. The biaxiality ratio has a noticeable influence on crack growth direction. For the case of biaxial tension, when neglecting the T-stress the crack branching angle is overestimated for small crack inclination angles relative to the largest applied principal stress direction, and underestimated for large crack inclination angles.

A stress field approach for the shear capacity of RC beams with stirrups

  • Domenico, Dario De;Ricciardi, Giuseppe
    • Structural Engineering and Mechanics
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    • 제73권5호
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    • pp.515-527
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    • 2020
  • This paper presents a stress field approach for the shear capacity of stirrup-reinforced concrete beams that explicitly incorporates the contribution of principal tensile stresses in concrete. This formulation represents an extension of the variable strut inclination method adopted in the Eurocode 2. In this model, the stress fields in web concrete consist of principal compressive stresses inclined at an angle θ combined with principal tensile stresses oriented along a direction orthogonal to the former (the latter being typically neglected in other formulations). Three different failure mechanisms are identified, from which the strut inclination angle and the corresponding shear strength are determined through equilibrium principles and the static theorem of limit analysis, similar to the EC-2 approach. It is demonstrated that incorporating the contribution of principal tensile stresses of concrete slightly increases the ultimate inclination angle of the compression struts as well as the shear capacity of reinforced concrete beams. The proposed stress field approach improves the prediction of the shear strength in comparison with the Eurocode 2 model, in terms of both accuracy (mean) and precision (CoV), as demonstrated by a broad comparison with more than 200 published experimental results from the literature.

응력장을 고려한 프리스플리팅 공법의 균열발생 원리에 대한 연구 (A Study on the Crack-propagation Mechanism of Pre-splitting Method with Consideration of Stress Field)

  • 윤지선;우택규;김민우;장영민
    • 화약ㆍ발파
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    • 제27권2호
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    • pp.1-11
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    • 2009
  • 본 연구에서는 프리스플리팅 적용 시 심발 발파를 통해 먼저 자유면을 확보한 후 이에 따른 응력변화를 관찰함으로서 최 외곽영역에서 균열형성을 함에 있어서의 유리함을 판단하고자 하며 균열형성이 용이한 조건을 찾고자 한다. 수치해석에서는 터널 내 최소주응력 방향을 고려했으며 수치해석 결과 응력의 방향변화는 가압하중의 크기변화에 큰 영향이 있음을 확인할 수 있었고, 차응력이 증가할수록 균열이 증가하는 경향을 확인하였다. 모형실험결과 응력장을 고려한 프리스플리팅공법 적용으로 기존 프리스플리팅 공법에 비해 균열 제어가 용이하고, 이를 통해 이완영역 축소를 기대할 수 있으며 또한 새로운 개념의 프리스플리팅 공법의 적용성을 판단하였다.