• 제목/요약/키워드: mohr-coulomb

검색결과 267건 처리시간 0.024초

Calculation model for the shear strength of unsaturated soil under nonlinear strength theory

  • Deng, Dongping;Wen, Shasha;Lu, Kuan;Li, Liang
    • Geomechanics and Engineering
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    • 제21권3호
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    • pp.247-258
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    • 2020
  • The shear strength of unsaturated soils, a research hotspot in geotechnical engineering, has great guiding significance for geotechnical engineering design. Although kinds of calculation models for the shear strength of unsaturated soil have been put forward by predecessors, there is still need for new models to extensively consider the nonlinear variation of shear strength, particularly for the nonlinear effect of the net normal stress on the shear strength of unsaturated soil. Here, the shear strength of unsaturated soils is explored to study the nonlinear effects of net normal stress with the introduction of a general nonlinear Mohr-Coulomb (M-C) strength criterion, and the relationship between the matric suction (or suction stress) and degree of saturation (DOS) constructed by the soil-water characteristics curve (SWCC) of van Genuchten is also applied for unsaturated soil. Then, two calculation models (i.e., an envelope shell model and an effective stress model) are established for the shear strength of unsaturated soils under the nonlinear strength theory. In these two models, the curve of the shear strength of unsaturated soils versus the net normal stress exhibits a tendency to gently. Moreover, the proposed formulas have flexibility and convenience with five parameters (for the effective stress model) or six parameters (for the envelope shell model), which are from the M-C strength parameters of the saturated soil and fitting parameters of SWCC of van Genuchten. Thereafter, by comparison with the classical theory of the shear strength of unsaturated soils from some actual cases, the rationality and accuracy of the present models were verified.

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.

냉간 단조 공정의 유한 요소 해석에 기반한 WC-Co 초경 금형의 파손 위험 영역 평가 (Potential Damage Region Investigation of WC-Co Cemented Carbide Die Based on Finite Element Analysis of Cold Forging Process)

  • 류성현;정선호;정헌영;김경일;조규섭;노우람
    • 소성∙가공
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    • 제31권6호
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    • pp.376-383
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    • 2022
  • The potential damage region of a WC-Co cemented carbide die is investigated for cold forging process of a wheel-nut by numerical simulation with its chemical composition considered. Numerical simulation is utilized to calculate internal stress, especially for the WC-Co die, during the forging process. Finite element model is established, in which the elasto-plastic properties are applied to the work-piece of bulk steel, and elastic properties are considered for the lower die insert of the WC-Co alloy. This stress analysis enables to distinguish the potential damage regions of the WC-Co die. The regions from calculation are comparatively analyzed along with the crack area observed in the die after repetitive manufacturing. Effect of chemical composition of the WC-Co is also evaluated on characteristics of potential damage region of the die with variance of mechanical properties considered. Derived from Mohr-Coulomb fracture model, furthermore, a new stress index is presented and used for die stress analysis. This index inherently considers hydrostatic pressure and is then capable of deducing wide range of its distribution for representing stress state by modification of its parameter implying pressure sensitivity.

Theoretical model for the shear strength of rock discontinuities with non-associated flow laws

  • Galindo, Ruben;Andres, Jose L.;Lara, Antonio;Xu, Bin;Cao, Zhigang;Cai, Yuanqiang
    • Geomechanics and Engineering
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    • 제24권4호
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    • pp.307-321
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    • 2021
  • In an earlier publication (Serrano et al. 2014), the theoretical basis for evaluating the shear strength in rock joints was presented and used to derive an equation that governs the relationship between tangential and normal stresses on the joint during slippage between the joint faces. In this paper, the theoretical equation is applied to two non-linear failure criteria by using non-associated flow laws, including the modified Hoek and Brown and modified Mohr-Coulomb equations. The theoretical model considers the geometric dilatancy, the instantaneous friction angle, and a parameter that considers joint surface roughness as dependent variables. This model uses a similar equation structure to the empirical law that was proposed by Barton in 1973. However, a good correlation with the empirical values and, therefore, Barton's equation is necessary to incorporate a non-associated flow law that governs breakage processes in rock masses and becomes more significant in highly fractured media, which can be induced in a rock joint. A linear law of dilatancy is used to assess the importance of the non-associated flow to obtain very close values for different roughness states, so the best results are obtained for null material dilatancy, which considers significant changes that correspond to soft rock masses or altered zones of weakness.

Experimental study for application of the punch shear test to estimate adfreezing strength of frozen soil-structure interface

  • Park, Sangyeong;Hwang, Chaemin;Choi, Hangseok;Son, Youngjin;Ko, Tae Young
    • Geomechanics and Engineering
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    • 제29권3호
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    • pp.281-290
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    • 2022
  • The direct shear test is commonly used to evaluate the shear behavior of frozen soil-structure interfaces under normal stress. However, failure criteria, such as the Mohr-Coulomb failure criterion, are needed to obtain the unconfined shear strength. Hence, the punch shear test, which is usually used to estimate the shear strength of rocks without confinement, was examined in this study to directly determine the adfreezing strength. It is measured as the shear strength of the frozen soil-structure interface under unconfined conditions. Different soils of silica sand, field sand, and field clay were prepared inside the steel and concrete ring structures. Soil and ring structures were frozen at the target temperature for more than 24 h. A punch shear test was then conducted. The test results show that the adfreezing strength increased with a decrease in the target temperature and increase in the initial water content, owing to the increase in ice content. The adfreezing strength of field clay was the smallest when compared with the other soil specimens because of the large amount of unfrozen water content. The field sand with the larger normalized roughness showed greater adfreezing strength than the silica sand with a lower normalized roughness. From the experiment and analysis, the applicability of the punch shear test was examined to measure the adfreezing strength of the frozen soil-structure interface. To find a proper sample dimension, supplementary experiments or numerical analysis will be needed in further research.

Effect of relative stiffness on seismic response of subway station buried in layered soft soil foundation

  • Min-Zhe Xu;Zhen-Dong Cui;Li Yuan
    • Geomechanics and Engineering
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    • 제36권2호
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    • pp.167-181
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    • 2024
  • The soil-structure relative stiffness is a key factor affecting the seismic response of underground structures. It is of great significance to study the soil-structure relative stiffness for the soil-structure interaction and the seismic disaster reduction of subway stations. In this paper, the dynamic shear modulus ratio and damping ratio of an inhomogeneous soft soil site under different buried depths which were obtained by a one-dimensional equivalent linearization site response analysis were used as the input parameters in a 2D finite element model. A visco-elasto-plastic constitutive model based on the Mohr-Coulomb shear failure criterion combined with stiffness degradation was used to describe the plastic behavior of soil. The damage plasticity model was used to simulate the plastic behavior of concrete. The horizontal and vertical relative stiffness ratios of soil and structure were defined to study the influence of relative stiffness on the seismic response of subway stations in inhomogeneous soft soil. It is found that the compression damage to the middle columns of a subway station with a higher relative stiffness ratio is more serious while the tensile damage is slighter under the same earthquake motion. The relative stiffness has a significant influence on ground surface deformation, ground acceleration, and station structure deformation. However, the effect of the relative stiffness on the deformation of the bottom slab of the subway station is small. The research results can provide a reference for seismic fortification of subway stations in the soft soil area.

삼량진-밀양 지역에 위치한 도로 절취사면에 대한 사면안정 연구 (Rock Slope Stability Investigations Conducted on the Road Cut in Samrangjin-Miryang Area)

  • 엄정기;강태승;황진연
    • 자원환경지질
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    • 제38권3호
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    • pp.305-317
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    • 2005
  • 본 연구는 도로 절취사면에 대한 사면안정 연구로서 삼량진과 밀양을 연결하는 1022호 지방도 중 천태산 부근에 위치한 약 4km의 연속적인 절취사면에서 수행되었다. 연구지역은 유문암질 회류응회암, 강하응회암, 유문암 및 안산암 등의 백악기 화산암류로 구성되어 있으며, 거의 전 구간에 걸쳐 $70^{\circ}$이상의 사면각으로 형성된 절취암반은 높은 빈도의 불연속면을 포함하고 있다. 암반사면의 불안정 요인으로 작용하는 불연속면의 기하학적 분포특성을 파악하기 위하여 8개 지점에서 선형조사선 조사를 실시하였으며, 조사 자료에 대하여 운동학적 해석 및 블록이론해석을 적용하여 대상 도로절취사면의 안정성을 검토하였다. 각각의 선형조사선에서 조사된 개별 불연속면에 대한 중력 재하의 평면 파괴, 쐐기 파괴, 및 전도 파괴 등에 대한 최대안전사면각을 산정한 결과, 평면파괴에 대한 최대안전사면각은 대부분의 개별 불연속면에서 $65^{\circ}$이상으로 나타났으며, 쐐기파괴에 대한 최대안전사면각은 $45^{\circ}$이상으로 산정되었다. 또한, 전도파괴에 대해서는 대부분의 개별 불연속면에서 $80^{\circ}$이상으로 산정되었다. 블록이론을 적용한 결과 SL4, SL5, SL6 및 SL8 지점에 존재하는 잠재적 키블록(Type II)을 확인하였다. 블록이론에 의해 구분된 잠재적 키블록에 대하여 한계평형해석을 수행한 결과 중력재하에서는 1보다 큰 안전율이 확보되었으나 집중호우 시 나타날 수 있는 간극수압과 같은 외적 사면 불안정 요인에 따라 안전율이 크게 저하될 수 있음을 도출하였다. 또한, 한계평형해석 시 적용되는 Mohr-Coulomb 및 Barton 등의 전단강도 기준식에 따른 안전율의 변화를 제시하였다.

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.

연속체 암반비탈면의 강도정수 산정 연구 (A Study on Estimating Shear Strength of Continuum Rock Slope)

  • 김형민;이수곤;이벽규;우재경;허익;이준기
    • 한국지반공학회논문집
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    • 제35권5호
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    • pp.5-19
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    • 2019
  • 암반으로 구성되어 있는 급경사($65^{\circ}{\sim}85^{\circ}$)비탈면이 장기간 안정한 상태로 유지되고 있는 자연현상을 고려할 때, 설계 및 초기 시공 단계에서 위와 유사한 지반 상태로 이루어진 깎기 암반비탈면에 대해 1:0.5(발파암 경사 기준)보다 급한 경사를 적용할 수 있을 것이다. 급경사로 설계 가능한 양호한 연속체 암반비탈면의 안정성을 검토하는 과정에서, 설계실무 측면에서 범용적인 암반강도정수 산정방법이 필요하게 되었다. Hoek 등(2002)이 수정 보완하여 발표한 Hoek-Brown 파괴기준과 GSI분류는 불연속구조의 영향을 충분히 고려한 암반특성화 시스템으로 평가되었으며, 응력변화에 따라 등가 Mohr-Coulomb 강도정수(등면적법)를 산출하는 방법을 제안하였다. 비탈면에서는 등가 M-C 강도정수가 최대구속응력(${{\sigma}^{\prime}}_{3max}$ 또는 수직응력)변화에 따라 민감하게 변화하므로 실무적으로 활용하기에 어려운 점이 있다. 이 연구에서는 양호한 연속체 암반비탈면에 대해 최대구속응력 범위이내에서 범용적으로 적용할 수 있는 강도정수산정방법(등각분할법)을 H-B 파괴기준을 응용하여 제안한다. 등각분할법 강도정수(A)의 타당성 및 적용성을 평가하기 위해, 연구대상 암반비탈면을 기존 실시설계 현장 인근에 있는 급경사 비탈면에서 암석종류별(화성암, 변성암, 퇴적암)로 선정하고, Hoek이 제시한 등가 M-C 강도정수(등면적법)들과 비교 분석하였다. 등면적법 및 등각분할법 등가 M-C 강도정수는 기본적인 자료인 기존 실시설계 현장의 실내 암석 삼축압축시험과 연구대상 암반비탈면의 불연속구조의 특성조사(Face Mapping)를 통해 RocLab 프로그램(H-B 파괴기준을 기본으로 전산화된 지반정수 산정 소프트웨어)을 활용하여 산정하였다. 산정된 등면적법 등가 M-C 강도정수는 상호 연동되어 점착력과 내부마찰각이 아주 크거나($45^{\circ}$ 이상) 작게 나타났다. 등각분할법 등가 M-C 강도정수는 등면적법 등가 M-C 강도정수의 중간 정도이며, 내부마찰각은 $30^{\circ}{\sim}42^{\circ}$의 범위를 보인다. 연구대상 암반비탈면의 등각분할법 강도정수(A)와 기존 실시 설계 현장에서 연구대상 암반비탈면과 유사한 암반상태(동일 등급 RMR)에 적용한 강도정수(B)와 비교 분석하고, 이 지반정수들로 적용한 비탈면 안정해석(한계평형해석과 유한요소해석) 결과를 통해 제안한 등각분할법의 적용성을 간접적으로 평가하였다. A와 B의 강도정수 차이는 10% 정도이다. 한계평형해석 결과(우기 기준), A적용 안전율(Fs)=14.08~58.22(평균 32.9), B적용 안전율(Fs)=18.39~60.04(평균 32.2)이며, 각 동일한 암석종류에 따라 상호 유사하게 나타났다. 유한요소 해석 결과, A적용 변위=0.13~0.65mm(평균 0.27mm), B적용 변위=0.14~1.07mm(평균 0.37mm)으로 매우 유사하다. H-B 파괴기준을 응용하여 등각분할법으로 산출한 지반 정수를 실무적인 전단강도로 적용할 수 있는 적용성 평가에서 유의미한 결과를 확인할 수 있었다.