• 제목/요약/키워드: Mohr method

검색결과 123건 처리시간 0.024초

Theoretical solutions for displacement and stress of a circular opening reinforced by grouted rock bolt

  • Zou, Jin-Feng;Xia, Zhang-Qi;Dan, Han-Cheng
    • Geomechanics and Engineering
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    • 제11권3호
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    • pp.439-455
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    • 2016
  • This paper presented solutions of displacement and stress for a circular opening which is reinforced with grouted rock bolt. It satisfies the Mohr-Coulomb (M-C) or generalized Hoek-Brown (H-B) failure criterion, and exhibits elastic-brittle-plastic or strain-softening behavior. The numerical stepwise produce for strain-softening rock mass reinforced with grouted rock bolt was developed with non-associative flow rules and two segments piecewise linear functions related to a principle strain-dependent plastic parameter, to model the transition from peak to residual strength. Three models of the interaction mechanism between grouted rock bolt and surrounding rock proposed by Fahimifar and Soroush (2005) were adopted. Based on the axial symmetrical plane strain assumption, the theoretical solution of the displacement and stress were proposed for a circular tunnel excavated in elastic-brittle-plastic and strain-softening rock mass compatible with M-C or generalized H-B failure criterion, which is reinforced with grouted rock bolt. It showed that Fahimifar and Soroush's (2005) solution is a special case of the proposed solution for n = 0.5. Further, the proposed method is validated through example comparison calculated by MATLAB programming. Meanwhile, some particular examples for M-C or generalized H-B failure criterion have been conducted, and parametric studies were carried out to highlight the influence of different parameters (e.g., the very good, average and very poor rock mass). The results showed that, stress field in plastic region of surrounding rock with considering the supporting effectiveness of the grouted rock bolt is more than that without considering the effectiveness of the grouted rock bolt, and the convergence and plastic radius are reduced.

Effect of seismic acceleration directions on dynamic earth pressures in retaining structures

  • Nian, Ting-Kai;Liu, Bo;Han, Jie;Huang, Run-Qiu
    • Geomechanics and Engineering
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    • 제7권3호
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    • pp.263-277
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    • 2014
  • In the conventional design of retaining structures in a seismic zone, seismic inertia forces are commonly assumed to act upwards and towards the wall facing to cause a maximum active thrust or act upwards and towards the backfill to cause a minimum passive resistance. However, under certain circumstances this design approach might underestimate the dynamic active thrust or overestimate the dynamic passive resistance acting on a rigid retaining structure. In this study, a new analytical method for dynamic active and passive forces in c-${\phi}$ soils with an infinite slope was proposed based on the Rankine earth pressure theory and the Mohr-Coulomb yield criterion, to investigate the influence of seismic inertia force directions on the total active and passive forces. Four combinations of seismic acceleration with both vertical (upwards or downwards) and horizontal (towards the wall or backfill) directions, were considered. A series of dimensionless dynamic active and passive force charts were developed to evaluate the key influence factors, such as backfill inclination ${\beta}$, dimensionless cohesion $c/{\gamma}H$, friction angle ${\phi}$, horizontal and vertical seismic coefficients, $k _h$ and $k_v$. A comparative study shows that a combination of downward and towards-the-wall seismic inertia forces causes a maximum active thrust while a combination of upward and towards-the-wall seismic inertia forces causes a minimum passive resistance. This finding is recommended for use in the design of retaining structures in a seismic zone.

Seismic effects of epicenter distance of earthquake on 3D damage performance of CG dams

  • Karalar, Memduh;Cavusli, Murat
    • Earthquakes and Structures
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    • 제18권2호
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    • pp.201-213
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    • 2020
  • Seismic damages that occurred by the effects of epicenter distance of the earthquake are one of the most important problems for the earthquake engineering. In this study, it is aimed to examine the nonlinear seismic behaviors of concrete gravity (CG) dams considering various epicenter distances. For this purpose, Boyabat CG dam that is one of the biggest concrete gravity dams in Turkey is selected as a numerical application. FLAC3D software based on finite difference method is used for modelling and analyzing of the dam. Drucker-Prager nonlinear material model is used for the concrete body and Mohr-Coulomb nonlinear material model is taken into account for the foundation. Special interface elements are used between dam body and foundation to represent interaction condition. Free-field and quiet non-reflecting boundary conditions are utilized for the main surfaces of 3D model. Total 5 various epicenter distances of 1989 Loma Prieta earthquake are considered in 3D earthquake analyses and these distances are 5 km, 11 km, 24 km, 85 km and 93 km, respectively. According to 3D seismic results, x-y-z displacements, principal stresses and shear strain failures of the dam are evaluated in detail. It is clearly seen from this study that the nonlinear seismic behaviors of the CG dams change depending to epicenter distance of the earthquake. Thus, it is clearly recommended in this study that when a CG dam is modelled or analyzed, distance of the earthquake fault to the dam should be strongly examined in detail. Otherwise, earthquake damages can be occurred in the concrete dam body by the effects of seismic loads.

$Er_{1-x}Sr_xFeO_{3-y}$계의 비화학양론과 전기적 성질 (Nonstoichiometry and Electrical Properties of the $Er_{1-x}Sr_xFeO_{3-y}$Systems)

  • 려철현;정성태;편웅범;이승현
    • 대한화학회지
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    • 제33권5호
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    • pp.445-451
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    • 1989
  • $Er_{1-x}Sr_xFeO_{3-y}(0.0{\leq}X{\leq}1.0)$계의 고용체들을 $1200^{\circ}C$에서 24시간 동안 가열하여 합성하였다. X-선 회절분석을 통하여 x = $0.0{\sim}0.6$의 조성은 사방정계이고 x = 0.8 및 1.0은 입방정계의 결정구조라는 것을 알았으며 Sr의 양이 증가할수록 격자체적이 증가하였다. 본 철산화물계에서 두 종류의 철이온의 혼합원자가 상태는 모어염 적정법으로 분석하였다. x = 0.0과 0.5조성의 상온에서 측정한 Mossbauer 분광분석은 자기모멘트의 정렬에 의한 미세자기장 분열을 보이고 고용체 내에 팔면체와 사면체 배위된 철이온이 존재하는 것을 지적하고 있다. 전기전도도 측정으로부터 본 시료들의 전기전도가 팔면체 자리의 철이온 간을 건너뛰는 메카니즘이라는 것을 확인하였다.

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EPB tunneling in cohesionless soils: A study on Tabriz Metro settlements

  • Rezaei, Amir H.;Shirzehhagh, Mojtaba;Golpasand, Mohammad R. Baghban
    • Geomechanics and Engineering
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    • 제19권2호
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    • pp.153-165
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    • 2019
  • A case study of monitoring and analysis of surface settlement induced by tunneling of Tabriz metro line 2 (TML2) is presented in this paper. The TML2 single tunnel has been excavated using earth pressure balanced TBM with a cutting-wheel diameter of 9.49 m since 2015. Presented measurements of surface settlements, were collected during the construction of western part of the project (between west depot and S02 station) where the tunnel was being excavated in sand and silt, below the water table and at an average axis depth of about 16 m. Settlement readings were back-analyzed using Gaussian formula, both in longitudinal and transversal directions, in order to estimate volume loss and settlement trough width factor. In addition to settlements, face support and tail grouting pressures were monitored, providing a comprehensive description of the EPB performance. Using the gap model, volume loss prediction was carried out. Also, COB empirical method for determination of the face pressure was employed in order to compare with field monitored data. Likewise, FE simulation was used in various sections employing the code Simulia ABAQUS, to investigate the efficiency of numerical modelling for the estimating of the tunneling induced-surface settlements under such a geotechnical condition. In this regard, the main aspects of a mechanized excavation were simulated. For the studied sections, numerical simulation is not capable of reproducing the high values of in-situ-measured surface settlements, applying Mohr-Coulomb constitutive law for soil. Based on results, for the mentioned case study, the range of estimated volume loss mostly varies from 0.2% to 0.7%, having an average value of 0.45%.

Nonlinear numerical modelling for the effects of surface explosions on buried reinforced concrete structures

  • Nagy, N.;Mohamed, M.;Boot, J.C.
    • Geomechanics and Engineering
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    • 제2권1호
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    • pp.1-18
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    • 2010
  • The analysis of structure response and design of buried structures subjected to dynamic destructive loads have been receiving increasing interest due to recent severe damage caused by strong earthquakes and terrorist attacks. For a comprehensive design of buried structures subjected to blast loads to be conducted, the whole system behaviour including simulation of the explosion, propagation of shock waves through the soil medium, the interaction of the soil with the buried structure and the structure response needs to be simulated in a single model. Such a model will enable more realistic simulation of the fundamental physical behaviour. This paper presents a complete model simulating the whole system using the finite element package ABAQUS/Explicit. The Arbitrary Lagrange Euler Coupling formulation is used to model the explosive charge and the soil region near the explosion to eliminate the distortion of the mesh under high deformation, while the conventional finite element method is used to model the rest of the system. The elasto-plastic Drucker-Prager Cap model is used to model the soil behaviour. The explosion process is simulated using the Jones-Wilkens-Lee equation of state. The Concrete Damage Plasticity model is used to simulate the behaviour of concrete with the reinforcement considered as an elasto-plastic material. The contact interface between soil and structure is simulated using the general Mohr-Coulomb friction concept, which allows for sliding, separation and rebound between the buried structure surface and the surrounding soil. The behaviour of the whole system is evaluated using a numerical example which shows that the proposed model is capable of producing a realistic simulation of the physical system behaviour in a smooth numerical process.

사질토를 지나 풍화암에 소켓된 매입 PHC말뚝에서 지반의 허용압축지지력 산정도표 및 산정공식 개발에 관한 연속 연구(V) - 매개변수 수치해석 자료 분석 - (Study(V) on Development of Charts and Equations Predicting Allowable Compressive Bearing Capacity for Prebored PHC Piles Socketed into Weathered Rock through Sandy Soil Layers - Analysis of Results and Data by Parametric Numerical Analysis -)

  • 박민철;권오균;김채민;윤도균;최용규
    • 한국지반공학회논문집
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    • 제35권10호
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    • pp.47-66
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    • 2019
  • 본 연구에서는 사질토층을 지나 풍화암에 4D 소켓된 매입 PHC말뚝에 대하여 PHC말뚝 직경과 길이 및 사질토 지반의 N값에 따른 매개변수 수치해석을 실시하였다. PHC말뚝과 지반은 Mohr-Coulomb의 탄 소성모델을 적용하였으며, 말뚝 주변 경계면은 가상두께의 인터페이스를 설정하였다. 10종류 직경의 PHC말뚝에 대한 수치해석 결과를 분석하여 사질토의 N값에 따른 말뚝머리 하중-침하 곡선과 말뚝의 근입길이에 따른 축하중 분포도 곡선을 구하였다. 또한 이들 결과로부터 각 하중 성분과 침하 사이의 관계 곡선을 구하였으며, 하중 성분은 전체 하중, 전체 주면마찰하중, 사질토의 주면마찰하중, 풍화암의 주면마찰하중 및 풍화암의 선단하중으로 구분하였다. 수치해석으로부터 구한 하중-침하 곡선에서 변곡상태가 나타나는 하중을 분석한 결과, 대체로 변곡상태를 나타내는 하중 단계는 말뚝 직경의 약 5~7% 수준의 침하량으로 나타났으며, 안전측으로 말뚝직경의 5% 침하량에 해당하는 하중으로 평가하였다. 이 하중 단계를 동원지지력($Q_m$)으로 정의하였으며, 본 연구의 지지력 분석에 사용하였다. 매개변수 수치해석 결과, PHC 말뚝 직경, 상대근입길이 및 사질토의 N값에 관계없이 SRF는 평균적으로 70% 이상으로 나타났다. 또한 전체마찰지지력에서 사질토의 주면마찰지지력이 평균 80% 이상으로 나타났다. 이러한 결과는 매입 PHC말뚝의 지지력 산정에 이용할 수 있으며, 또한 새로운 지지력 산정방법 제안을 위한 연구에도 활용할 수 있을 것으로 판단된다.

제조-공급자간 갈등 원인과 거래조정 방식의 갈등관리 효과 (The Causes of Conflict and the Effect of Control Mechanisms on Conflict Resolution between Manufacturer and Supplier)

  • 이진화
    • 한국유통학회지:유통연구
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    • 제17권4호
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    • pp.55-80
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    • 2012
  • 다른 기업과 거래관계를 형성하고 유지하는 것은 빠르게 변화하는 치열한 환경에서 대부분의 기업에게 불가피한 전략적 선택이다. 유통망 안의 모든 기업들도 결국 독립적 기업 간의 이러한 거래 계약으로 맺어져 있다. 하지만 모든 기업 간의 거래가 하나의 목표를 가지고 공동의 이익 창출을 위해 노력하여, 모두 효과적이고 효율적인 성과만을 낼 수는 없다. 대리인 이론에 따르면, 기업들은 모두 독립적 주체로서 각자의 이해를 추구하고, 위험을 회피하려하며, 제한된 합리성을 가지고 불충분한 정보를 처리하게 된다. 즉, 기업 간 거래관계는 그 속에서 신뢰와 협력을 기대하는 동시에, 갈등과 기회주의적 행위도 예측해야 한다. 이에 본 연구는 기업 간 거래의 갈등 원인을 확인하고, 실제 기업이 주로 활용하는 거래조정 방식의 갈등관리 효과를 밝히고자 한다. 이를 위해 관련된 기존 연구와 대리인 이론을 활용하여, 제조업자와 공급업자 간 갈등이 관계성과에 미치는 영향과 거래 위험요인(환경동태성, 자산특유화 수준)의 갈등 유발 효과, 그리고 국내 기업거래 연구에서 잘 다루어지지 않은 거래 조정방식의 갈등관리 효과를 가정하였다. 더불어 국내 중소기업 데이터 329개를 대상으로 연구모델을 검증하였다. 연구 결과, 구매기업(제조업자)의 환경 동태성과 자산 특유화 수준이 높을수록 더 큰 갈등이 유발되었으며, 이러한 B2B 갈등은 기업 간 관계질과 재무성과에 부정적 영향을 끼쳤다. 또한 사회적 조정방식과 법적 조정방식은 갈등의 관계질에 대한 부정적 영향을 매우 유의한 수준에서 완화시키는 조절효과가 검증되었다. 이러한 결과를 바탕으로 본 연구는 B2B갈등의 원인과 관리기법에 대하여 실증적으로 확인하였다는 의의가 있으며, 특히 국내 거래관리 연구에서 소홀히 다루어졌던 법적 계약 방식의 긍정적이고 유의한 효과를 확인하였다는 의의가 있다.

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마그마관입에 의한 상부퇴적층의 변형에 관한연구 (A Study on the Structural Deformations in the Sedimentary Layer Resulted from Magma Intrusion)

  • 민경덕;김원영
    • 자원환경지질
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    • 제10권1호
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    • pp.37-48
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    • 1977
  • The earth's crust is unceasingly undergoing deformations because of the forces acting upon it. The relationship between the tectonic forces and the resulting deformations are found from the states of stresses in the earth's crust induced by these forces. The study has been attempted to analyze the deformations of the overlying sedimentary layers, which are deformed by the magma intrusion along its lower boundary. The elastic model is constructed to analyze the geologic structures, by means of the theory of elasticity, and then the appropriate boundary conditions are given. The solution of the Airy stress function which satisfies the given boundary conditions is derived from the analytic method. The internal stress distributions of the deformed elastic model layer are portrayed by principal stress trajetories, and then the corresponding potential faults and joints systems are predicted from the Coulomb-Mohr failure criterion. The internal displacement distributions are shown by the calculated displacement components vectors, namely horizontal, vertical and net components. Results of the numerical calculations show the developments of some geologic structures as follows; (1) one set of shear joints and or two sets of shear joints which are oppisite directions, and one set of extension joints parallel to the ${\sigma}_1$ direction, (2) one set of high angle thrusts and normal faults, (3) symmetric fold; both limbs are dipping in opposite direction with low angle. The field work at the Wall-A San area, located near Jinju City, in southern Korea, had accomplished to compare the field structures with the predicted ones. The results of the comparison exhibits the developments of joint and fault systems satisfactorily consistent with each others. But the area does not show any type of folding, in spite of the intrusion of a granodiorite massif, this fact is one of the important features of the whole Kyungsang sedimentary basins of Mesozoic age distributed at the south-eastern parts of Korea. For this reason, it is thought that the magma intrusion had occurred with extremly low pressure. The geologic structures have been modified by the erosion and weathering throughout the geologic time, and the conditions of the sedimentary layers (width, thickness and radius of magma) are not the same as before, being intruded by the magma. To enlighten this, it is preferable to study these geologic structures with analyses of various types of rheological models.

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Assessing 3D seismic damage performance of a CFR dam considering various reservoir heights

  • Karalar, Memduh;Cavusli, Murat
    • Earthquakes and Structures
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    • 제16권2호
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    • pp.221-234
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    • 2019
  • Today, many important concrete face rockfill dams (CFRDs) have been built on the world, and some of these important structures are located on the strong seismic regions. In this reason, examination and monitoring of these water construction's seismic behaviour is very important for the safety and future of these dams. In this study, the nonlinear seismic behaviour of Ilısu CFR dam which was built in Turkey in 2017, is investigated for various reservoir water heights taking into account 1995 Kobe near-fault and far-fault ground motions. Three dimensional (3D) finite difference model of the dam is created using the FLAC3D software that is based on the finite difference method. The most suitable mesh range for the 3D model is chosen to achieve the realistic numerical results. Mohr-Coulomb nonlinear material model is used for the rockfill materials and foundation in the seismic analyses. Moreover, Drucker-Prager nonlinear material model is considered for the concrete slab to represent the nonlinearity of the concrete. The dam body, foundation and concrete slab constantly interact during the lifetime of the CFRDs. Therefore, the special interface elements are defined between the dam body-concrete slab and dam body-foundation due to represent the interaction condition in the 3D model. Free field boundary condition that was used rarely for the nonlinear seismic analyses, is considered for the lateral boundaries of the model. In addition, quiet artificial boundary condition that is special boundary condition for the rigid foundation in the earthquake analyses, is used for the bottom of the foundation. The hysteric damping coefficients are separately calculated for all of the materials. These special damping values is defined to the FLAC3D software using the special fish functions to capture the effects of the variation of the modulus and damping ratio with the dynamic shear-strain magnitude. Total 4 different reservoir water heights are taken into account in the seismic analyses. These water heights are empty reservoir, 50 m, 100 m and 130 m (full reservoir), respectively. In the nonlinear seismic analyses, near-fault and far-fault ground motions of 1995 Kobe earthquake are used. According to the numerical analyses, horizontal displacements, vertical displacements and principal stresses for 4 various reservoir water heights are evaluated in detail. Moreover, these results are compared for the near-fault and far-faults earthquakes. The nonlinear seismic analysis results indicate that as the reservoir height increases, the nonlinear seismic behaviour of the dam clearly changes. Each water height has different seismic effects on the earthquake behaviour of Ilısu CFR dam. In addition, it is obviously seen that near-fault earthquakes and far field earthquakes create different nonlinear seismic damages on the nonlinear earthquake behaviour of the dam.