• 제목/요약/키워드: Slip-line solution

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Determination of stress state in chip formation zone by central slip-line field

  • Andrey Toropov;Ko, Sung-Lim
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2003년도 춘계학술대회 논문집
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    • pp.577-580
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    • 2003
  • Stress state of chip formation zone is one of the main problems in metal cutting mechanics. In two-dimensional case this process is usually considered as consistent shears of work material along single of several shear surfaces. separating chip from workpiece. These shear planes are assumed to be trajectories of maximum shear stress forming corresponding slip-line field. This paper suggests new approach to the constriction of slip-line field, which Implies uniform compression in chip formation zone. On the base of given model it has been found that imaginary shear line in orthogonal cutting is close to the trajectory of maximum normal stress and the problem about its determination have been considered. It has been shown that there is a second central slip-line field inside chip, which corresponds well to experimental data about stress distribution on tool rake face and tool-chip contact length. The suggested model could be useful in solution of various problems of machining.

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Analysis of slope stability based on evaluation of force balance

  • Razdolsky, A.G.;Yankelevsky, D.Z.;Karinski, Y.S.
    • Structural Engineering and Mechanics
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    • 제20권3호
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    • pp.313-334
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    • 2005
  • The paper presents a new approach for the analysis of slope stability that is based on the numerical solution of a differential equation, which describes the thrust force distribution within the potential sliding mass. It is based on the evaluation of the thrust force value at the endpoint of the slip line. A coupled approximation of the slip and thrust lines is applied. The model is based on subdivision of the sliding mass into slices that are normal to the slip line and the equilibrium differential equation is obtained as the slice width approaches zero. Opposed to common iterative limit equilibrium procedures the present method is straightforward and gives an estimate of slope stability at the value of the safety factor prescribed in advance by standard requirements. Considering the location of the thrust line within the soil mass above the trial slip line eliminates the possible development of a tensile thrust force in the stable and critical states of the slope. The location of the upper boundary point of the thrust line is determined by the equilibrium of the upper triangular slice. The method can be applied to any smooth shape of a slip line, i.e., to a slip line without break points. An approximation of the slip and thrust lines by quadratic parabolas is used in the numerical examples for a series of slopes.

도시철도차량 차륜슬립 문제 해결에 관한 연구 (A study on solution of bogie wheel slip problem)

  • 조동식;정상범;조성원;손영진
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2010년도 춘계학술대회 논문집
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    • pp.954-957
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    • 2010
  • Line 2 is being operated in 10 cities and it composed the amount of rolling stock combination. Line 2 rails have more curved than straight rails. So, wheels and rails were damaged. Accidents or delays caused many social problems. so it is important that wheel and rail are efficiently managed. Here, find out the cause of wheel-slip characteristics and workarounds were studying. Chapter 1 Background and Purpose. Chapter 2 about wheel slip problem and seek way improving adhesiveness. Chapter 3 Conclusion.

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Determination of stress state in formation zone by central slip-line field chip

  • Toropov Andrey;Ko Sung Lim
    • International Journal of Precision Engineering and Manufacturing
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    • 제6권3호
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    • pp.24-28
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    • 2005
  • Stress state of chip formation zone is one of the main problems in metal cutting mechanics. In two-dimensional case this process is usually considered as consistent shears of work material along one of several shear surfaces, separating chip from workpiece. These shear planes are assumed to be trajectories of maximum shear stress forming corresponding slip-line field. This paper suggests a new approach to the constriction of slip-line field, which implies uniform compression in chip formation zone. Based on the given model it has been found that imaginary shear line in orthogonal cutting is close to the trajectory of maximum normal stress and the problem about its determination has been considered as well. It has been shown that there is a second central slip-line field inside chip, which corresponds well to experimental data about stress distribution on tool rake face and tool-chip contact length. The suggested model would be useful in understanding mechanistic problems in machining.

소성 붕괴하중 및 변형거동 해석(1) (Simulation of Plastic Collapsing Load and Deformation Behaviours(I))

  • 김영석
    • 대한기계학회논문집
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    • 제19권9호
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    • pp.2165-2172
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    • 1995
  • Optimization of mesh discretization has been proposed to improve the accuracy of limit analysis solution of collapse load by using the Rigid Body Spring Model(R. B. S. M) under the plane strain condition. Moreover, the fracture behaviour of materials was investigated by employing the fracture mechanism of a spring connecting the triangular rigid body element. It has been clarified that the collapse load and the geometry of slip boundary for optimized mesh discretization were close to those of the slip line solution. Further, the wedge-shaped fracture of a cylinder under a lateral load and the central fracture of a strip in the drawing process were well simulated.

양력선(揚力線) 이론(理論)에 의한 추진기(推進器) 초기설계(初期設計)에 대하여 (On the Preliminary Design of Marine Propellers by Lifting Line Theory)

  • 이진태;김재근;이창섭
    • 대한조선학회지
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    • 제17권3호
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    • pp.5-17
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    • 1980
  • A basic procedure to design marine propellers by a curved lifting line theory was shown. By adapting discrete singularity method, it became possible to take into account of skew, rake and the contraction of slip stream in the early stage of preliminary design procedure. It is also shown that lifting line theory based on the discrete singularity method converges to a common solution obtained by induction factor method with a relatively small number of discrete elements. Lifting the blade geometry more accurately on the basis of hydrodynamic principles. A number of numerical results from lifting line calculation are presented for the purpose of comparison with the previous method, and with these results two sample designs are carried out, which are wake-adapted optimum and wake-adapted non-optimum propellers.

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NUMERICAL SIMULATION OF PLASTIC FLOW BY FINITE ELEMENT LIMIT ANALYSIS

  • Hoon-Huh;Yang, Wei-H.
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1992년도 춘계학술대회 논문집 92
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    • pp.159-176
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    • 1992
  • Limit analysis has been rendered versatile in many problems such as structural problems and metal forming problems. In metal forming analysis, a slip-line method and an upper bound method approach to limit solutions is considered as the most challenging areas. In the present work, a general algorithm for limit solutions of plastic flow is developed with the use of finite element limit analysis. The algorithm deals with a generalized Holder inequality, a duality theorem, and a combined smoothing and successive approximation in addition to a general procedure for finite element analysis. The algorithm is robust such that from any initial trial solution, the first iteration falls into a convex set which contains the exact solution(s) of the problem. The idea of the algorithm for limit solution is extended from rigid/perfectly-plastic materials to work-hardening materials by the nature of the limit formulation, which is also robust with numerically stable convergence and highly efficient computing time.

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Assessment of seismic stability of finite slope in c-ϕ soils - a plasticity approach

  • Shibsankar, Nandi;G., Santhoshkumar ;Priyanka, Ghosh
    • Geomechanics and Engineering
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    • 제31권5호
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    • pp.439-452
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    • 2022
  • A forecast of slope behavior during catastrophic events, such as earthquakes is crucial to recognize the risk of slope failure. This paper endeavors to eliminate the significant supposition of predefined slip surfaces in the slope stability analysis, which questions the relevance of simple conventional methods under seismic conditions. To overcome such limitations, a methodology dependent on the slip line hypothesis, which permits an automatic generation of slip surfaces, is embraced to trace the extreme slope face under static and seismic conditions. The effect of earthquakes is considered using the pseudo-static approach. The current outcomes developed from a parametric study endorse a non-linear slope surface as the extreme profile, which is in accordance with the geomorphological aspect of slopes. The proposed methodology is compared with the finite element limit analysis to ensure credibility. Through the design charts obtained from the current investigation, the stability of slopes can be assessed under seismic conditions. It can be observed that the extreme slope profile demands a flat configuration to endure the condition of the limiting equilibrium at a higher level of seismicity. However, a concurrent enhancement in the shear strength of the slope medium suppresses this tendency by offering greater resistance to the seismic inertial forces induced in the medium. Unlike the traditional linear slopes, the extreme slope profiles mostly exhibit a steeper layout over a significant part of the slope height, thus ensuring a more optimized solution to the slope stability problem. Further, the susceptibility of the Longnan slope failure in the Huining-Wudu seismic belt is predicted using the current plasticity approach, which is found to be in close agreement with a case study reported in the literature. Finally, the concept of equivalent single or multi-tiered planar slopes is explored through an example problem, which exhibits the appropriateness of the proposed non-linear slope geometry under actual field conditions.

CEL 기법을 이용한 유한 요소 해석에서 지반의 극한 파괴 상태 감지를 위한 정량적 물리량 기준 (A Quantitative Physical Parameter for Detection of Ultimate Failure State of Soil Using CEL Method in Finite Element Analysis)

  • 김성민;이주형;정영훈
    • 한국지반공학회논문집
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    • 제34권12호
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    • pp.59-69
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    • 2018
  • 한계평형법 이론들을 사용하기 위해서는 극한 파괴 상태에서 나타나는 파괴 전단면을 찾아야 한다. 강도 감소법에서는 유한요소해석의 수치해가 일정 반복 횟수 이내에 수렴하지 못하는 시점을 극한 파괴 상태로 정의한다. 하지만 Coupled Eulerian-Lagrangian (CEL)기법을 유한요소해석에서 사용하면 극한 파괴 상태에 도달하여도 수치해의 비수렴 상황이 발생하지 않으므로 이러한 정의는 사용하기 어렵다. 본 연구에서는 CEL 기법을 이용한 유한요소해석에서 지반의 극한 파괴 상태를 감지할 수 있는 객관적인 물리량 기준을 제시하였다. 비배수 조건의 연약지반이 연속기초 하중을 받는 경우 극한 파괴 상태에 해당하는 이론적 하중에서 소성 소산 에너지의 변화속도가 민감하게 변화함을 찾을 수 있었다.

한반도 남동부 제4기 단층의 대자율이방성(AMS): 단층의 운동감각과 고응력장 해석 (Anisotropy of Magnetic Susceptibility (AMS) of the Quaternary Faults, SE Korea: Application to the Determination of Fault Slip Sense and Paleo-stress Field)

  • 조형성;김민철;김현정;손문
    • 암석학회지
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    • 제23권2호
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    • pp.75-103
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    • 2014
  • 한반도 남동부 일원에는 주요 지질구조선(양산단층대, 울산단층, 연일구조선, 오천단층계 등)을 따라 제4기 단층들이 도처에 분포하고 있으며, 이들의 기하와 운동학적 특징은 한반도의 제4기 지각변형사와 현생응력상태 등을 이해하는 데 중요한 정보들을 제공한다. 이번 연구에서는 진티단층, 모화단층, 수성지2단층 그리고 왕산단층을 대상으로 대자율이방성 방법을 적용하여 단층가우지의 미세구조를 분석하고 단층의 운동감각을 해석하였으며, 그 결과를 바탕으로 단층암의 미세구조 발달과정과 제4기 응력장에 대해 논의하였다. 대자율이방성 측정을 통해 구해진 자기미세구조로부터 단층의 운동감각을 분석한 결과, 왕산단층을 제외한 나머지 세 단층은 모두 역이동성이 우세한 단층운동에 의한 미세구조가 발달되어 있다. 단층면에 거의 평행한 편평형의 미세구조가 발달하는 점과 이방성정도가 클수록 편평형의 정도가 증가하는 특징에 근거할 때, 단층가우지의 미세구조는 점진적인 변형에 의한 최종응력변형이 기록된 것으로 해석된다. 또한, 최후기에 재활된 역단층운동으로 기존의 단층가우지 내에 존재하는 미세구조들은 모두 지워지고 최후기의 운동에 의한 미세구조만이 기록된 것으로 판단된다. 단층가우지의 자기미세구조 분석을 통해 유추된 운동감각으로부터 구해진 고응력장은 동북동-서남서 방향의 압축력이며, 이 응력장은 지진원 메커니즘, 수압파쇄시험 그리고 단층 지구조분석결과를 통해 구해진 한반도 남동부의 고응력장과 부합된다. 결론적으로 한반도 일원은 제4기 동안 동-서 내지 동북동-서남서 방향의 압축성 응력장이 지배적이었던 것으로 해석된다.