• Title/Summary/Keyword: equilibrium factor

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The expanded LE Morgenstern-Price method for slope stability analysis based on a force-displacement coupled mode

  • Deng, Dong-ping;Lu, Kuan;Wen, Sha-sha;Li, Liang
    • Geomechanics and Engineering
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    • v.23 no.4
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    • pp.313-325
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    • 2020
  • Slope displacement and factor of safety (FOS) of a slope are two aspects that reflect the stability of a slope. However, the traditional limit equilibrium (LE) methods only give the result of the slope FOS and cannot be used to solve for the slope displacement. Therefore, developing a LE method to obtain the results of the slope FOS and slope displacement has significance for engineering applications. Based on a force-displacement coupled mode, this work expands the LE Morgenstern-Price (M-P) method. Except for the mechanical equilibrium conditions of a sliding body adopted in the traditional M-P method, the present method introduces a nonlinear model of the shear stress and shear displacement. Moreover, the energy equation satisfied by a sliding body under a small slope displacement is also applied. Therefore, the double solutions of the slope FOS and horizontal slope displacement are established. Furthermore, the flow chart for the expanded LE M-P method is given. By comparisons and analyses of slope examples, the present method has close results with previous research and numerical simulation methods, thus verifying the feasibility of the present method. Thereafter, from the parametric analysis, the following conclusions are obtained: (1) the shear displacement parameters of the soil affect the horizontal slope displacement but have little effect on the slope FOS; and (2) the curves of the horizontal slope displacement vs. the minimum slope FOS could be fitted by a hyperbolic model, which would be beneficial to obtain the horizontal slope displacement for the slope in the critical state.

Determination of Bioconcentration Factor in Some Pesticides (일부 농약의 생물농축계수의 측정)

  • 민경진;차춘근
    • Journal of Food Hygiene and Safety
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    • v.14 no.2
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    • pp.146-152
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    • 1999
  • The present study was performed to investigate the bioconcentration of BPMC, chlorothalonil, dichlorvos and methidathion. The BCFs(bioconcentration factors) and depuration rate constants for four pesticides in zebrafish(brachydanio rerio) were measured under semi-static conditions(OECD guideline 305-B) in a concentration of one-hundredth of the 96 hours LC50 of each pesticide at the equilibrium condition. The results obtained are summarized as follows : The BCFs of BPMC, chlorothalonil, dichlorvos and methidathion were 1.44$\pm$0.09, 2.223$\pm$0.063, 0.81$\pm$0.08 and 5.53$\pm$0.13, respectively. Depuration rate constants of BPMC, chlorothalonil, dichlorvos and methidathion were 0.028, 0.015, 0.220 and 0.152, respectively. The concentrations of BPMC, dichlorovs and methidathion in zebrafish reached an equilibrium in 3 days, and the equilibrium of chlorothalonil was reached after 14 days. Depuration rate of dichlorvos was the fastest followed by methidathion, BPMC and chlorothalonil. The lower BCF of BPMC was due to its relatively high KOW, slow KDEP, and low SW and VP, compared to chlorothalonil and methidathion. The BCF of chlorothalonil was much lower than that excepted on the basis of high KOW, slow KDEP, SW and VP. The reason is that the experimental concentration for chlorothalonil is 1/100~1/1000 lower than that of BPMC, dichlorvos and methidathion. The BCF of dichlorvos was lower than that of other pesticides due to its very rapid KDEP, very high VP and SW, and very low KOW. The BCF of methidathion was higher than that of other pesticides due to its very low VP and SW. Therefore, these data suggest that physicochemical properties of pesticides may be important in the bioconcentration.

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Reinforcing Effect of a Soil Nailing on Plane Failure of a Slope by Comparing Finite Difference Analysis with Limit Equilibrium Analysis (유한차분해석과 한계평형해석의 비교를 통한 평면파괴 사면 쏘일네일링 보강효과 연구)

  • You, Kwang-Ho
    • Journal of the Korean Geotechnical Society
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    • v.30 no.11
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    • pp.5-15
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    • 2014
  • It is very important to design and construct slopes safely because damage cases are increasing due to slope failure. Recently, Limit Equilibrium Method (LEM) based programs are commonly used for slope designs. Though LEM can give factors of safety through simple calculation, it has a disadvantage that the sliding surface should be assumed in advance. On the other hand, the use of Finite Difference Method (FDM) is increasing since the factor of safety can be easily estimated by using shear strength reduction technique. Therefore the purpose of this study is to present a reasonable slope design methodology by comparing the two commonly used analysis approaches; LEM and FDM. To this end, the reinforcement effects of the two methods were compared in terms of the support pattern of soil nailing reinforced in the section where plane failure is anticipated. As a result, the reinforcement effects by nail angle and nail spacing turned out to be equal. Also it was found that the factor of safety increased in LEM, but not changed in FDM when the nail length increased.

Coupled Effect of Pile/Slope Systems (억지말뚝-사면의 상호작용 효과)

  • 정상섬;유광호;이선근
    • Journal of the Korean Geotechnical Society
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    • v.19 no.5
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    • pp.163-173
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    • 2003
  • In this paper, a numerical comparison of predictions by limit equilibrium analysis and 3D analysis is presented for slope/pile system. Special attention is given to the coupled analysis based on the explicit finite difference code, FLAC 3D. To this end, an internal routine (FISH) was developed to calculate a factor of safety for a file reinforced slope according to shear strength reduction technique. The case of coupled analyses was performed for stabilizing piles in slope in which the pile response and slope stability are considered simultaneously. In this study, by using these methods, the failure surfaces and factors of safety were compared and analyzed in several cases, such as toe, middle and top of the slope, respectively. Furthermore, the coupled method based on shear strength reduction technique was verified by the comparison with other analysis results.

Prediction of the Rhelolgical of Soybean Curd during Storage by using WLF equation (저장중의 두부에 WLF식을 이용한 물성 변화 예측에 관하여)

  • Jang, Won-Young;Kim, Byung-Yong;Kim, Myoung-Hwan
    • Korean Journal of Food Science and Technology
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    • v.27 no.2
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    • pp.193-198
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    • 1995
  • The changes in the rheological properties of soybean curd upon the various storage temperatures ($5{\sim}25^{\circ}C$) were measured by the stress-relaxation test and analysed by time-temperature superposition theory. As the storage temperature was lower, higher initial and equilibrium stress of soybean curd were observed. When the stress-relaxation curves were moved horizontally by using the shift-factor on the basis of reference temperature, the master curve was obtained. By applying master curve and shift-factor to the WLF (Williams-Landel-Ferry) equation, activation energy (30kcal/mol) was calculated and storage time at the specific temperature could be predicted, suggesting the equivalent shelf-life of soybean curd texture.

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A Comarative study on slope stability modeling of highly fractured rock slopes (절리암반사면의 안정해석 방법에 관한 비교연구)

  • Yoo, Chung-Sik;Kim, Sun-Bin;Yang, Ki-Ho;Jung, Ha-Seung
    • Proceedings of the Korean Geotechical Society Conference
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    • 2009.03a
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    • pp.434-443
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    • 2009
  • Slope stability analysis is an essential part of rock slope design. For highly fractured rock, the limit equilibrium method (LEM) based slope stability analysis with a circular failure surface is often carried out assuming the rock mass behaves more or less as a continuum. This paper examines first, the applicability of the finite-element method (FEM) based shear strength reduction (SSR) technique for highly fractured rock slope, and second the use of Mohr-Coulomb (MC) failure criterion in conjunction with generalized Hoek-Brown (HB) failure criterion. The numerical results on a number of cases are compared in terms of the factor of safety (FS). The results indicated that the FEM-based SSR technique yields almost the same FSs from LEM, and that the MC and HB failure criteria yield almost identical FSs when the strength parameters for MC failure criterion are obtained based on the modified HB failure criterion if and only if value of the Hoek-Brown constant $m_i$ is smaller than 10 and slope angle is smaller than 1:1, otherwise MC failure criteria over-estimate the factor of safety.

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Adaptive Cooperative Spectrum Sharing Based on Fairness and Total Profit in Cognitive Radio Networks

  • Chen, Jian;Zhang, Xiao;Kuo, Yonghong
    • ETRI Journal
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    • v.32 no.4
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    • pp.512-519
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    • 2010
  • A cooperative model is presented to enable sharing of the spectrum with secondary users. Compared with the optimal model and competitive model, the cooperative model could reach the maximum total profit for secondary users with better fairness. The cooperative model is built based on the Nash equilibrium. Then a conceding factor is introduced so that the total spectrum required from secondary users will decrease. It also results in a decrease in cost which the primary user charges to the secondary users. The optimum solution, which is the maximum total profit for the secondary users, is called the collusion state. It is possible that secondary users may leave the collusion state to pursue the maximum of individual profit. The stability of the algorithm is discussed by introducing a vindictive factor to inhabit the motive of deviation. In practice, the number of secondary users may change. Adaptive methods have been used to deal with the changing number of secondary users. Both the total profit and fairness are considered in the spectrum allocating. The shared spectrum is 11.3893 with a total profit of 65.2378 in the competitive model. In the cooperative model, the shared spectrum is 8.5856 with the total profit of 73.4963. The numerical results reveal the effectiveness of the cooperative model.

LOCATIONS OF OUT-OF-PLANE EQUILIBRIUM POINTS IN THE ELLIPTIC RESTRICTED THREE-BODY PROBLEM UNDER RADIATION AND OBLATENESS EFFECTS

  • HUDA, IBNU NURUL;DERMAWAN, BUDI;WIBOWO, RIDLO WAHYUDI;HIDAYAT, TAUFIQ;UTAMA, JUDHISTIRA ARYA;MANDEY, DENNY;TAMPUBOLON, IHSAN
    • Publications of The Korean Astronomical Society
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    • v.30 no.2
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    • pp.295-296
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    • 2015
  • This study deals with the generalization of the Elliptic Restricted Three-Body Problem (ER3BP) by considering the effects of radiation and oblate spheroid primaries. This may illustrate a gas giant exoplanet orbiting its host star with eccentric orbit. In the three dimensional case, this generalization may possess two additional equilibrium points ($L_{6,7}$, out-of-plane). We determine the existence of $L_{6,7}$ in ER3BP under the effects of radiation (bigger primary) and oblateness (small primary). We analytically derive the locations of $L_{6,7}$ and assume initial approximations of (${\mu}-1$, ${\pm}\sqrt{3A_2}$), where ${\mu}$ and $A_2$ are the mass parameter and oblateness factor, respectively. The fixed locations are then determined. Our results show that the locations of $L_{6,7}$ are periodic and affected by $A_2$ and the radiation factor ($q_1$).

Case Study of Slope Investigation on the Cretaceous Sedimentary Rocks Using the Geological Cross-Sections

  • Ihm, Myeong-Hyeok;Kim, Woo-Seok;Kwon, Oil
    • The Journal of Engineering Geology
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    • v.31 no.4
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    • pp.463-478
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    • 2021
  • The subjects of the study are the sedimentary rock slope of the Mesozoic Gyeongsang Supergroup, which has a high risk of failure. The orientation of the slope-face represents a variety of changing characteristics. The rocks of the slope shall be sandstone, siltstone and dacite, and discontinuities shall develop beddings, shear joints, extension joints, and dacite dyke boundary planes. The type and scale of failure varies depending on the type of rock and the strike/dip of the discontinuities, but the toppling failure prevails. Based on the face-mapping data, SMR, physical and mechanical testing of rocks, analysis and review of the stereonet projections and the critical equilibrium analysis, all four representative sections required a countermeasure method because the acceptable safety factor during dry and rainy seasons were far below Fs = 1.5 and Fs = 1.2. After applying the countermeasure method, both the dry and wet conditions of the slope exceeded the allowable safety factor. In particular, the face-mapping data of the slope-face, the geological cross-sections of several representative sections perpendicular to the slope-face, and the critical equilibrium analysis and the presentation of countermeasure methods that have been reviewed based on them are expected to be reasonable tools for the slope stability. In addition, it will be possible to use it as basic data for performance evaluation for slope maintenance.

Analysis of Factors Affecting the Slope Stability of Uncontrolled Waste Landfill (비위생 폐기물 매립지 사면의 안정성에 관한 영향인자 분석)

  • Yoo, Han-Kyu;Choi, Bong-Hyuck
    • Journal of the Korean GEO-environmental Society
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    • v.3 no.1
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    • pp.5-12
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    • 2002
  • The effects of ground water level, shear strength parameters of refuse, and geological condition of ground on the slope stability of uncontrolled waste landfill were studied. The Janbu method of slices based on the limit equilibrium method was used to calculate the minimum factor of safety with respect to slope stability of landfill. The analytical results showed that the factor of safety for a fully dried condition of landfill increased 2.4~2.8 times as great as that for a fully saturated condition of landfill. Under the condition of actual ground water level, the factor of safety linearly increased with increasing both cohesion and internal friction angle of refuse. Also, when the potential failure surface passed through the underlying layer, the factor of safety and shape of potential failure surface were found to depend on geological conditions of underlying layer.

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