• 제목/요약/키워드: upper bound limit analysis

검색결과 59건 처리시간 0.023초

후방압출공정의 corner cavity 형성에 관한 해석 (Analysis on the corner cavity formation in backward extrusion process)

  • 김영호;변홍석
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1995년도 추계학술대회 논문집
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    • pp.236-239
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    • 1995
  • In this paper,Upper bound analysis to predict the formation of corner cavity during the final stage of backward extrusion is used. The critical condition for corner cavity formation is obtained by upper bound analysis. The quantitive relationships between corner cavity formation and process parameters are studied. To broaden forming limit area, driven container and multi-step forming process is proposed. As a result of FEM, forming limit is enlarged. And this results is compared with the analytric results

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축 대칭 전방 압출의 극한 해석 (Limit Analysis of Axisymmetric Forward Extrusion)

  • 김병민;최인근;최재찬;이종수
    • 한국정밀공학회지
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    • 제8권3호
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    • pp.93-104
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    • 1991
  • Limit analysis is based on the duality theorem which equates the least upper bound to the greatest lower bound. In this study, limit analysis of axisymmetric forming problem with workhardening materials is formulated by minimizing the upper bound functional and finite element program is developed for forward estrusion. Limit loads, velocity and flow line fields are directly obtained under various process conditions and deformation characteristics such as strains, strain rates and grid distortion are obtained from the optimum velocity components by numerical calculation. The experimental observation was carried out for extrusion and compared with computed results. The good agreement between theoretical and experimental results is shown that the developed programming is very effective for the analysis of axisymmetric extrusion.

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상계해석을 이용한 보강토 사면의 해석 (Analysis on the Geo-reinforced Slope Using Upper Bound Theory)

  • 최상호;김종민;유남재
    • 한국지반공학회논문집
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    • 제20권7호
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    • pp.207-215
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    • 2004
  • 본 연구는 보강사면에 상계이론를 적용하여 실제 한계상태에 가까운 신뢰성이 높은 해석방법을 개발하는데 목적이 있으며 상계해석의 유한요소공식화를 전개하는데 있어 거시적인 관점으로부터 비등방성이면서 균질한 재료에 대한 수치해석의 기본 개념은 얻을 수 있다. 보강토는 뒷채움한 성토와 보강재 경계면의 상호작용으로 보강토의 강도가 보강재의 재료적 특성에 의존하고 있기 때문에 흙의 역학적 특성과 보강토의 전체 거동은 보강재의 기하학적인 배열과 상대적인 면적에 의해서 조절할 수 있다. 따라서, 상계이론은 보강사면의 한계상태 거동을 효과적으로 산정할 수 있어 국부적으로 발생하는 소성파괴를 예측할 수 있다.

극한해석 상계법을 이용한 편심하중하의 기초 지지력 산정 (Computation of Ultimate Bearing Capacity of Eccentrically Loaded Footing By Upper Bound of Limit Analysis Method)

  • 권오균;김명모
    • 대한토목학회논문집
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    • 제12권1호
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    • pp.187-196
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    • 1992
  • 본 연구에서는 편심 하중을 받는 기초의 지지력을 극한해석 상계법을 이용하여 산정하였다. 편심 하중이 작용하는 기초의 지지력을 산정하는 기존의 해석방법으로는 극한평형법을 이용한 Meyerhof 방법과 Saran 방법 등이 있으나, 극한해석법을 이용하여 해석하는 경우는 없다. 이에 본 연구에서는 극한해석 상계법을 이용하여 편심하중이 작용하는 기초의 지지력을 산정하였다. 극한해석 상계법으로 해석하는 경우, 적용하는 파괴메카니즘에 따라 그 결과가 달라지므로, 본 연구에서는 기존의 파괴메카니즘을 속도장 조건에 맞게 변형시킨 후, 극한해석 상계법을 적용하여 그 결과들을 상호 비교하였다. 그리고, 편심하중을 받는 기초 구조물의 지지력에 영향을 미치는 요소들을 연구하기 위하여 흙의 내부마찰각, 기초 바닥면의 마찰각, 편심량, 그리고 상재하중 등을 변화시켜 각 요소들이 기초의 지지력에 미치는 영향을 연구하였다.

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침투력을 고려한 토사터널 막장의 안정성 평가방법에 대한 고찰 (Evaluation of Tunnel Face Stability with the Consideration of Seepage Forces)

  • 남석우;이인모
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 1999년도 가을 학술발표회 논문집
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    • pp.193-200
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    • 1999
  • Since Broms and Bennermark(1967) suggested the face stability criterion based on laboratory extrusion tests and field observations, the face stability of a tunnel driven in cohesive material has been studied by several authors. And recently, more general solution for the tunnel front is given by Leca and Panet(1988). They adopted a limit state design concept to evaluate the face stability of a shallow tunnel driven into cohesionless material and showed that the calculated upper bound solution represented the actual behavior reasonably well. In this study, two factors are simultaneously considered for assessing tunnel face stability: One is the effective stress acting on the tunnel front calculated by upper bound solution; and the other is the seepage force calculated by numerical analysis under the condition of steady state ground water flow. The model tests were performed to evaluate the seepage force acting on the tunnel front and these results were compared with results of numerical analysis. Consequently, the methodology to evaluate the stability of a tunnel face including limit analysis and seepage analysis is suggested under the condition of steady state ground water flow.

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편심하중 작용시 극한해석 상계법을 이용한 얕은 기초의 지지력 분석 (Analysis on Bearing Capacity of Eccentrically Loaded Shallow Footing Using Upper Bound Method of Limit Analysis)

  • 상현규;최명진;김팔규;권오균
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2000년도 가을 학술발표회 논문집
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    • pp.261-268
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    • 2000
  • In this study the bearing capacity of the eccentrically loaded shallow footing is estimated by means of the upper bound method of limit analysis. In the case of applying the upper bound, the results depend on the failure mechanism. So the failure surface is correctly studied through the model test using sand. New method is proposed to estimate the bearing capacity of the eccentrically loaded shallow footing by means of the upper bound method to apply the failure mechanism based on the model test. The propriety of new method is verified by the results of various methods. And the influences of the variables eccentricity, embedment depth, variations of contact width factor by model test using sand are also studied in this paper

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Kinematic limit analysis of pullout capacity for plate anchors in sandy slopes

  • Yu, S.B.;Merifield, R.S.;Lyamin, A.V.;Fu, X.D.
    • Structural Engineering and Mechanics
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    • 제51권4호
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    • pp.565-579
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    • 2014
  • The pullout capacity of plate anchors has been studied extensively over the past 40 years. However, very few studies have attempted to calculate the pullout capacity of anchors in sandy slopes. In this paper, three upper bound approaches are used to study the effect of a sloping ground surface and friction angle on pullout capacity and failure of plate anchors. This includes the use of; simple upper bound mechanisms; the block set mechanism approach; and finite element upper bound limit analysis. The aim of this research is to better understand the various failure mechanisms and to develop a simple methodology for estimating the pullout capacity of anchors in sandy slopes.

Limit analysis of rectangular cavity subjected to seepage forces based on Hoek-Brown failure criterion

  • Yang, X.L.;Qin, C.B.
    • Geomechanics and Engineering
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    • 제6권5호
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    • pp.503-515
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    • 2014
  • On the basis of Hoek-Brown failure criterion, a numerical solution for the shape of collapsing block in the rectangular cavity subjected to seepage forces is obtained by upper bound theorem of limit analysis. The seepage forces obtained from the gradient of excess pore pressure distribution are taken as external loadings in the limit analysis, and the pore pressure is easily calculated with pore pressure coefficient. Thus the seepage force is incorporated into the upper bound analysis as a work rate of external force. The upper solution of the shape of collapsing block is derived by virtue of variational calculation. In order to verify the validity of the method proposed in the paper, the result when the pore pressure coefficient equals zero, and only hydrostatic pressure is taken into consideration, is compared with that of previous work. The results show good effectiveness in calculating the collapsing block shape subjected to seepage forces. The influence of parameters on the failure mechanisms is investigated.

An alternative approach to extreme value analysis for design purposes

  • Bardsley, Earl
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2016년도 학술발표회
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    • pp.201-201
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    • 2016
  • The asymptotic extreme value distributions of maxima are a natural choice when designing against future extreme events like flood peaks or wave heights, given a stationary time series. The generalized extreme value distribution (GEV) is often utilised in this context because it is seen as a convenient single expression for extreme event analysis. However, the GEV has a drawback because the location of the distribution bound relative to the data is a discontinuous function of the GEV shape parameter. That is, for annual maxima approximated by the Gumbel distribution, the data is also consistent with a GEV distribution with an upper bound (no lower bound) or a GEV distribution with a lower bound (no upper bound). A more consistent single extreme value expression for design purposes is proposed as the Weibull distribution of smallest extremes, as applied to transformed annual maxima. The Weibull distribution limit holds here for sufficiently large sample sizes, irrespective of the extreme value domain of attraction applicable to the untransformed maxima. The Gumbel, Type 2, and Type 3 extreme value distributions thus become redundant, together with the GEV, because in reality there is only a single asymptotic extreme value distribution required for design purposes - the Weibull distribution of minima as applied to transformed maxima. An illustrative synthetic example is given showing transformed maxima from the normal distribution approaching the Weibull limit much faster than the untransformed sample maxima approach the normal distribution Gumbel limit. Some New Zealand examples are given with the Weibull distribution being applied to reciprocal transformations of annual flood maxima, where the untransformed maxima follow apparently different extreme value distributions.

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Discretization technique for stability analysis of complex slopes

  • Hou, Chaoqun;Zhang, Tingting;Sun, Zhibin;Dias, Daniel;Li, Jianfei
    • Geomechanics and Engineering
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    • 제17권3호
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    • pp.227-236
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    • 2019
  • In practice, the natural slopes are frequently with soils of spatial properties and irregular features. The traditional limit analysis method meets an inherent difficulty to deal with the stability problem for such slopes due to the normal condition in the associated flow rule. To overcome the problem, a novel technique based on the upper bound limit analysis, which is called the discretization technique, is employed for the stability evaluation of complex slopes. In this paper, the discretization mechanism for complex slopes was presented, and the safety factors of several examples were calculated. The good agreement between the discretization-based and previous results shows the accuracy of the proposed mechanism, proving that it can be an alternative and reliable approach for complex slope stability analysis.