• 제목/요약/키워드: stress of the principal

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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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A new extended Mohr-Coulomb criterion in the space of three-dimensional stresses on the in-situ rock

  • Mohatsim Mahetaji;Jwngsar Brahma;Rakesh Kumar Vij
    • Geomechanics and Engineering
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    • 제32권1호
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    • pp.49-68
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    • 2023
  • The three-dimensional failure criterion is essential for maintaining wellbore stability and sand production problem. The convenient factor for a stable wellbore is mud weight and borehole orientation, i.e., mud window design and selection of borehole trajectory. This study proposes a new three-dimensional failure criterion with linear relation of three in-situ principal stresses. The number of failure criteria executed to understand the phenomenon of rock failure under in-situ stresses is the Mohr-Coulomb criterion, Hoek-Brown criterion, Mogi-Coulomb criterion, and many more. A new failure criterion is the extended Mohr-Coulomb failure criterion with the influence of intermediate principal stress (σ2). The influence of intermediate principal stress is considered as a weighting of (σ2) on the mean effective stress. The triaxial compression test data for eleven rock types are taken from the literature for calibration of material constant and validation of failure prediction. The predictions on rock samples using new criteria are the best fit with the triaxial compression test data points. Here, Drucker-Prager and the Mogi-Coulomb criterion are also implemented to predict the failure for eleven different rock types. It has been observed that the Drucker-Prager criterion gave over prediction of rock failure. On the contrary, the Mogi-Coulomb criterion gave an equally good prediction of rock failure as our proposed new 3D failure criterion. Based on the yield surface of a new 3D linear criterion it gave the safest prediction for the failure of the rock. A new linear failure criterion is recommended for the unique solution as a linear relation of the principal stresses rather than the dual solution by the Mogi-Coulomb criterion.

평면변형률 조건에서 다짐화강토의 변형과 강도특성 (Deformation and Strength Characteristics of Compacted Weathered Granite Soil under Pland Strain Condition)

  • 정진섭
    • 한국농공학회지
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    • 제41권2호
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    • pp.70-79
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    • 1999
  • The lower ground of structure, in which the strip loads, such as earth dams and embankments , are signiificantly working on , is required to be interpreted as a state of plane strain where the strain of intermediated principal stress direction is put '0' . The plane strain state is frquently observed in actural soil engineering case. For those case, drained stress-strain and strength behavior of Iksan weathered granite soil prepared in cubical specimens with cross-anisotropic fabric was studied by conventional triaxial compression, plane strain and cubial triaxial tests with independent control of the three principal stress. All specimens were loaded under conditions of principl stress directions fixed and aligned with the directions of the material axes. As a result of research , when a ground condition is analyzed under plane strain state, the shear strength obtained from the conventional triaxial compression test can be understimated.

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AJM을 이용한 HDM에 의한 잔류응력 계측에 관한 연구 1

  • 이택순
    • Journal of Welding and Joining
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    • 제6권3호
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    • pp.37-42
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    • 1988
  • The Hole Drilling Method(HDM) is widely used to measure residual stresses in the welded structures. The purpose of this study is to evaluate the accuracy fo measuring residual stresses when drilling the hole by Air-abrasive Jet machine(AJM). Simulated residual stresses wre introduced by applying known stresses to steel bars. These known streses were then compared with measured stresses relaxed from hole drilling. the obtained results are summarized as follows; 1) It was possible to obtain well defined holes with the nozzle designed for this study. 2) If the hole shape is not cylindrical, critical may occur. 3) In the uniaxial strain field, the measurement error of the maximum principal stress was within .+-.10 percent. The orientation angle of the maximum principal stress was within 8.deg. from the given directioin. 4) meausrements were made varying hole depths. Little or no change of stresses occurs since holse were drilled more than the depth of the 0.6 times diameter. 5) The air-abrasive jet machining for drilling holse does not cause appreciable apparent stresses which si critical to measure residual stresses.

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체적의 변화를 통한 방광벽 두께와 기계적 재료상수 변화가 배뇨근 활동에 미치는 영향 (Effect of Bladder Wall Thickness Through Change of Bladder Volume and Material Properties on Detrusor activity Study)

  • 전수민;이문규;최범규
    • 한국정밀공학회지
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    • 제29권5호
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    • pp.584-590
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    • 2012
  • The structural and functional disorder of a detrusor induces a bladder hypertrophy and degenerates a bladder muscle gradually by preventing normal urination. Thus, the thickness of the bladder wall has been increased in proportion to the degree of bladder outlet obstruction. In this study, the mechanical characteristics of the detrusor is analyzed for the physical properties and the thickness changes of the bladder muscle using a mathematically analytic method. In order to obtain the mechanical property of the bladder muscle, the tensile test of porcine bladder tissue is performed because its property is similar to that of human. The result of tensile test is applied to the mathematically model as Mooney Rivlin coefficients which represent the hyperelastic material. The model of the bladder is defined as the spherical shape with the initial volume of 50ml. The principal stress and strain according to the thickness are analyzed. Also, computer simulations for three types of the material property for the model of the bladder are performed based on the fact that the stiffness of the bladder is weakened as the progress of the benign prostatic hyperplasia. As a result, the principal stress is 341kPa at the initial thickness of 2.2mm, and is 249kPa at 6.5mm. As the bladder wall thickness increases, the principal stress decreases. The principal stress and strain decrease as the stiffness of the bladder decreases under the same thinkness.

Fatigue life evaluation of socket welded pipe with incomplete penetration defect: I-test and FE analysis

  • Lee, Dong-Min;Kim, Seung-Jae;Lee, Hyun-Jae;Kim, Yun-Jae
    • Nuclear Engineering and Technology
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    • 제53권11호
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    • pp.3852-3859
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    • 2021
  • This paper presents experimental and numerical analysis results regarding the effects of an incomplete penetration defect on the fatigue lives of socket welded pipes. For the experiment, four-point bending fatigue tests with various defect geometries (defect depth and circumferential length) were performed, and test results are presented in terms of stress-life data. The results showed that for circumferentially short defects, the fatigue life tends to increase with increasing crack depth, but for longer defects, the trend becomes the opposite. Finite element analysis showed that for short defects, the maximum principal stress decreases with increases in crack depth. For a longer defect, the opposite trend was found. Furthermore, the maximum principal stress tends to increase with an increase in defect length regardless of the defect depth.

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.

Analytical solution for undrained plane strain expansion of a cylindrical cavity in modified cam clay

  • Silvestri, Vincenzo;Abou-Samra, Ghassan
    • Geomechanics and Engineering
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    • 제4권1호
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    • pp.19-37
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    • 2012
  • This paper presents the results of analytical and numerical analyses of the effects of performing a pressuremeter test or driving a pile in clay. The geometry of the problem has been simplified by the assumptions of plane strain and axial symmetry. Pressuremeter testing or installation of driven piles has been modelled as an undrained expansion of a cylindrical cavity. Stresses, pore water pressures, and deformations are found by assuming that the clay behaves like normally consolidated modified Cam clay. Closed-form solutions are obtained which allow the determination of the principal effective stresses and the strains around the cavity. The analysis which indicates that the intermediate principal stress at critical state is not equal to the mean of the other two principal stresses, except when the clay is initially isotropically consolidated, also permits finding the limit expansion and excess pore water pressures by means of the Almansi finite strain approach. Results are compared with published data which were determined using finite element and finite difference methods.

비선형 암석 파괴조건식의 접선 마찰각과 점착력의 중간주응력 의존성 (Dependency of Tangential Friction Angle and Cohesion of Non-linear Failure Criteria on the Intermediate Principal Stress)

  • 이연규;최병희
    • 터널과지하공간
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    • 제23권3호
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    • pp.219-227
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    • 2013
  • Mohr-Coulomb 파괴조건식은 암반구조물의 설계에 활발히 이용되고 있지만 암석의 비선형 강도특성과 중간주응력이 강도에 미치는 영향을 고려할 수 없다는 단점을 가지고 있다. 이러한 단점을 극복하기 위하여 Hoek-Brown 파괴조건식이 제안되었으며 최근 중간주응력의 영향을 고려할 수 있는 여러 3-D 파괴조건식들이 제안되고 있다. 그러나 아직까지도 많은 암반공학적 설계과정에서 Mohr-Coulomb 파괴조건식을 이용하여 암반의 파괴 가능성이 평가되고 있고 대부분의 현장 기술자들도 내부마찰각과 점착력으로 암반의 강도특성을 이해하는데 익숙하다. 그러므로 Mohr-Coulomb 파괴조건식에 비해 개선된 비선형 혹은 3-D 파괴조건식의 접선마찰각 및 접선점착력이 구해지면 기존의 Mohr-Coulomb 파괴조건식을 활용하는 틀 안에서 개선된 파괴조건식들의 장점을 이용하는 것이 가능하다. 본 연구에서는 접선마찰각과 접선점착력을 응력불변량으로 표시하는 방법을 제시하고 이를 일반화된 Hoek-Brown 파괴조건식과 Hoek-Brown 파괴조건식을 3-D로 확장시킨 HB-WW 파괴조건식에 적용하였다. 또한 파괴조건식의 중간주응력 의존성을 3차원 주응력 공간에서 기하학적으로 해석하는 새로운 접근법을 제안하였다. 제안된 방법의 실행 사례를 통해 HB-WW 파괴함수의 접선마찰각과 접선점착력은 2-D 파괴함수의 경우와 달리 중간주응력의 크기에 상당한 영향을 받음을 보였다.

강자성 박판소재의 잔류응력 측정 시스템의 설계 및 제작 (System Design and H/W Development of the Residual Stress Measurement for Ferromagnetic thin Sheet)

  • 김상원;양충진
    • 한국자기학회지
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    • 제11권2호
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    • pp.50-57
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    • 2001
  • 강자성 극박소재에 유기된 잔류응력을 검출하기 위하여 자기유도형 탐촉자(probe)를 설계·제작하였으며, 이를 장착한 잔류음력 평가시스템은 박판내에 유기된 잔류응력의 주응력 방향과 크기를 효과적으로 결정하여 준다. 이 시스템을 반도체 칩 팩키지(package)용으로 사용하는 Fe-42Ni계 lead frame 판재의 잔류응력 검출에 적용한 결과, 양호재 및 잔류응력과다 불량재에 대한 출력전압은 명확히 구별되었고, 잔류응력이 축적된 판재는 양호재와 비교하여 응력의 분포 및 크기에 있어 항상 차이를 나타내었다. 이러한 차이는 탐촉자에 투입하는 전류와 주파수의 함수로 잘 분해되어질 수 있음을 확인하였다.

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