• 제목/요약/키워드: mohr-coulomb

검색결과 268건 처리시간 0.022초

Damage identification of masonry arch bridge under blast loading using smoothed particle hydrodynamics (SPH) method

  • Amin Bagherzadeh Azar;Ali Sari
    • Structural Engineering and Mechanics
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    • 제91권1호
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    • pp.103-121
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    • 2024
  • The smoothed particle hydrodynamics (SPH) method is a numerical technique used in dynamic analysis to simulate the fluid-like behavior of materials under extreme conditions, such as those encountered in explosions or high velocity impacts. In SPH, fluid or solid materials are discretized into particles. These particles interact with each other based on certain smoothing kernels, allowing the simulation of fluid flows and predict the response of solid materials to shock waves, like deformation, cracking or failure. One of the main advantages of SPH is its ability to simulate these phenomena without a fixed grid, making it particularly suitable for analyzing complex geometries. In this study, the structural damage to a masonry arch bridge subjected to blast loading was investigated. A high-fidelity micro-model was created and the explosives were modeled using the SPH approach. The Johnson-Holmquist II damage model and the Mohr-Coulomb material model were considered to evaluate the masonry and backfill properties. Consistent with the principles of the JH-II model, the authors developed a VUMAT code. The explosive charges (50 kg, 168 kg, 425 kg and 1000 kg) were placed in close proximity to the deck and pier of a bridge. The results showed that the 50 kg charges, which could have been placed near the pier by a terrorist, had only a limited effect on the piers. Instead, this charge caused a vertical displacement of the deck due to the confinement effect. Conversely, a 1000 kg TNT charge placed 100 cm above the deck caused significant damage to the bridge.

경사지반에 인접하여 설치된 무리말뚝의 거동연구 (Behaviors of Pile Croup Installed Near Inclined Ground)

  • Chae, Kwang-Seok;Ugai, Keizo;Yoon, Gil-Lim
    • 한국지반공학회논문집
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    • 제19권3호
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    • pp.53-64
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    • 2003
  • 사면을 포함한 경사지에 설치된 송전탑, 교각, 고층빌딩 등을 지지하는 말뚝은 풍하중, 지진, 차량 등에 의한 수평하중을 고려하여 설계되어야 한다. 이러한 사면이나 경사지에 설치된 수평하중을 받는 말뚝은 편평한 지반에 비하여, 수평지지력이 감소하기 때문이다. 그러므로 이러한 구조물은 일반적으로 강성이 높고, 대구경의 기초인 피어기초가 사용된다. 수평하중을 받는 피어기초는 일반적으로 장대말뚝과 다른 거동을 한다. 즉, 수평하중에 의하여 말뚝 자체의 회전이 발생하고, 그 회전의 중심점 상부의 사면측의 수동토압에 의존하여 지반파괴가 발생한다는 측면에서 짧은 강성 말뚝과 유사한 거동을 한다. 본 논문은 모래사면의 언덕 근처에 설치된 짧은 말뚝의 수평하중의 영향에 대한 실험 및 수치해석 결과를 포함한다. 대부분을 모형실험과 3차원 탄소성 유한요소해석의 비교, 결과를 기술하였다. 먼저, 사면 언덕에서 모형말뚝까지의 거리를 3종류로 구분하여 단항의 모형실험과 군항말뚝의 수평하중 특성을 파악하기 위하여 수평지반과 사면지반(경사 30$^{\circ}$)에 대하여 말뚝중심간의 거리를 각2종류로 모형실험을 실시하였다. 동시에 3차원 탄소성 유한요소법에 의한 수치해석을 통하여 모형실험의 결과와의 비교를 시도하였다. 사용된 모래지반은 배수조건하에서 삼축압축실험으로 재현하였다. 3차원 탄소성 유한요소해석에서 완전탄소성모델의 파괴기준은 Mohr-Coulomb식, 소성 포텐셜은 Drucker-Prage식을 이용한 MC-DP모델을 적용하였다. 연구결과, 3차원탄소성 유한요소법이 사질토 지반에 설치된 짧은 말뚝의 수평거동을 파악하는데 유효하다는 것을 확인하였다.

Effect of shear zone on dynamic behaviour of rock tunnel constructed in highly weathered granite

  • Zaid, Mohammad;Sadique, Md. Rehan;Alam, M. Masroor;Samanta, Manojit
    • Geomechanics and Engineering
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    • 제23권3호
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    • pp.245-259
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    • 2020
  • Tunnels have become an indispensable part of metro cities. Blast resistance design of tunnel has attracted the attention of researchers due to numerous implosion event. Present paper deals with the non-linear finite element analysis of rock tunnel having shear zone subjected to internal blast loading. Abaqus Explicit schemes in finite element has been used for the simulation of internal blast event. Structural discontinuity i.e., shear zone has been assumed passing the tunnel cross-section in the vertical direction and consist of Highly Weathered Granite medium surrounding the tunnel. Mohr-Coulomb constitutive material model has been considered for modelling the Highly Weathered Granite and the shear zone material. Concrete Damage Plasticity (CDP), Johnson-Cook (J-C), Jones-Wilkins-Lee (JWL) equation of state models are used for concrete, steel reinforcement and Trinitrotoluene (TNT) simulation respectively. The Coupled-Eulerian-Lagrangian (CEL) method of modelling for TNT explosive and air inside the tunnel has been adopted in this study. The CEL method incorporates the large deformations for which the traditional finite element analysis cannot be used. Shear zone orientations of 0°, 15°, 30°, 45°, 60°, 75° and 90°, with respect to the tunnel axis are considered to see their effect. It has been concluded that 60° orientation of shear zone presents the most critical situation.

뒷굽이 짧은 캔틸레버 옹벽의 안정성에 관한 연구 (A Study on the Stability of Cantilever Retaining Wall with a Short Heel)

  • 유건선
    • 한국지반공학회논문집
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    • 제34권10호
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    • pp.17-28
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    • 2018
  • 캔틸레버 옹벽의 안정성 평가에서 중요한 변수는 옹벽에 작용하는 주동토압과 옹벽과 함께 움직이는 뒷굽 상부의 뒤채움토사의 무게이다. 캔틸레버 옹벽의 뒷굽 길이가 충분히 길면, 뒷굽 끝단에서의 연직면에 Rankine 토압이 작용한다고 가정하여 옹벽의 안정성을 평가해도 이론적으로 문제가 되지 않는다. 그러나 뒷굽이 짧은 캔틸레버 옹벽에 대하여 이와 같은 방법을 적용하는 것은 이론적으로 옳지 않으며, 주동토압을 실제보다 크게 산정하므로써 비경제적인 설계를 초래한다. 본 연구에서는 한계해석방법을 사용하여 캔틸레버 옹벽에 토압이 작용하는 메카니즘을 조사하고 이를 토대로 주동토압의 크기 및 합력의 위치, 뒤채움토사의 무게를 산정하였으며, 산정결과를 기존의 방법과 비교하였다. 뒷굽길이가 짧을 경우, 옹벽에 대한 안정성은 한계해석방법에 비해 기존의 Mohr원 방법은 최대 3.7%, Teng 방법은 최대 32% 크게 산정되었다.

제주도 현무암의 점착력과 내부 마찰각 (Cohesion and Internal Friction Angle of Basalts in Jeju Island)

  • 양순보
    • 한국지반공학회논문집
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    • 제31권11호
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    • pp.33-40
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    • 2015
  • 제주도 화산암은 지질학적 그리고 역학적 특성이 지역마다 큰 차이를 보일 뿐만 아니라, 특히 여러 환경적인 요인으로 인하여 크기와 분포가 다양한 기공이 많은 다공성 구조를 보이고 있다. 본 연구에서는 제주도 북동부 육해상, 남동부 해상 및 북서부 해상에서 채취한 현무암 암석에 대하여 삼축압축시험을 수행하였으며, 그 결과로부터 추정된 점착력과 내부 마찰각을 제주도 현무암의 다공성 구조를 나타내는 파라미터인 흡수율과 비교 분석하였다. 그 결과 제주도 현무암의 흡수율과 점착력의 관계는 흡수율과 비중의 상관관계에 따라 그 관계를 명확하게 구분할 수 있었으며, 흡수율이 증가함에 따라 점착력은 급격하게 감소하였다. 반면 제주도 현무암의 내부 마찰각은 흡수율과 비중의 상관관계와 관계없이 흡수율이 증가함에 따라 거의 선형적으로 감소하였다.

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 soil pile structure interaction on dynamic characteristics of jacket type offshore platforms

  • Asgarian, Behrouz;Shokrgozar, Hamed Rahman;Shahcheraghi, Davoud;Ghasemzadeh, Hasan
    • Coupled systems mechanics
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    • 제1권4호
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    • pp.381-395
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    • 2012
  • Dynamic response of Pile Supported Structures is highly depended on Soil Pile Structure Interaction. In this paper, by comparison of experimental and numerical dynamic responses of a prototype jacket offshore platform for both hinge based and pile supported boundary conditions, effect of soil-pile-structure interaction on dynamic characteristics of this platform is studied. Jacket and deck of a prototype platform is installed on a hinge-based case first and then platform is installed on eight skirt piles embedded on continuum monolayer sand. Dynamic characteristics of platform in term of natural frequencies, mode shapes and modal damping are compared for both cases. Effects of adding and removing vertical bracing members in top bay of jacket on dynamic characteristics of platform for both boundary conditions are also studied. Numerical simulation of responses for the studied platform is also performed for both mentioned cases using capability of ABAQUS and SACS software. The 3D model using ABAQUS software is created using solid elements for soil and beam elements for jacket, deck and pile members. Mohr-Coulomb failure criterion and pile-soil interface element are used for considering nonlinear pile soil structure interaction. Simplified modeling of soil-pile-structure interaction effect is also studied using SACS software. It is observed that dynamic characteristics of the system changes significantly due to soil-pile-structure interaction. Meanwhile, both of complex and simplified (ABAQUS and SACS, respectively) models can predict this effect accurately for such platforms subjected to dynamic loading in small range of deformation.

Comparison of numerical and analytical solutions for reinforced soil wall shaking table tests

  • Zarnani, Saman;El-Emam, Magdi M.;Bathurst, Richard J.
    • Geomechanics and Engineering
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    • 제3권4호
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    • pp.291-321
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    • 2011
  • The paper describes a simple numerical FLAC model that was developed to simulate the dynamic response of two instrumented reduced-scale model reinforced soil walls constructed on a 1-g shaking table. The models were 1 m high by 1.4 m wide by 2.4 m long and were constructed with a uniform size sand backfill, a polymeric geogrid reinforcement material with appropriately scaled stiffness, and a structural full-height rigid panel facing. The wall toe was constructed to simulate a perfectly hinged toe (i.e. toe allowed to rotate only) in one model and an idealized sliding toe (i.e. toe allowed to rotate and slide horizontally) in the other. Physical and numerical models were subjected to the same stepped amplitude sinusoidal base acceleration record. The material properties of the component materials (e.g. backfill and reinforcement) were determined from independent laboratory testing (reinforcement) and by back-fitting results of a numerical FLAC model for direct shear box testing to the corresponding physical test results. A simple elastic-plastic model with Mohr-Coulomb failure criterion for the sand was judged to give satisfactory agreement with measured wall results. The numerical results are also compared to closed-form solutions for reinforcement loads. In most cases predicted and closed-form solutions fall within the accuracy of measured loads based on ${\pm}1$ standard deviation applied to physical measurements. The paper summarizes important lessons learned and implications to the seismic design and performance of geosynthetic reinforced soil walls.

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.