• 제목/요약/키워드: Equivalent cohesion

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Quantitative assessment of depth and extent of notch brittle failure in deep tunneling using inferential statistical analysis

  • Lee, Kang-Hyun;Lee, In-Mo;Shin, Young-Jin
    • Geomechanics and Engineering
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    • 제21권2호
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    • pp.201-206
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    • 2020
  • A stress-induced brittle failure in deep tunneling generates spalling and slabbing, eventually causing a v-shaped notch formation. An empirical relationship for the depth of the notch to the maximum tangential stress assuming an equivalent circular cross-section was proposed (Martin et al. 1999). While this empirical approach has been well recognized in the industry and used as a design guideline in many projects, its applicability to a non-circular opening is worth revisiting due to the use of equivalent circular profile. Moreover, even though the extent of the notch also contributes to notch failure, it has not been estimated to date. When the estimate of both the depth and the extent of notch are combined, a practical and economically justifiable support design can be achieved. In this study, a new methodology to assess the depth as well as the extent of notch failure is developed. Field data and numerical simulations using the Cohesion Weakening Frictional Strengthening (CWFS) model were collected and correlated with the three most commonly accepted failure criteria (σ13, Dismaxc, σdevcm). For the numerical analyses, the D-shaped tunnel was used since most civil tunnels are built to this profile. Inferential statistical analysis is applied to predict the failure range with a 95% confidence level. Considering its accuracy and simplicity, the new correlation can be used as an enhanced version of failure assessment.

Water-induced changes in mechanical parameters of soil-rock mixture and their effect on talus slope stability

  • Xing, Haofeng;Liu, Liangliang;Luo, Yong
    • Geomechanics and Engineering
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    • 제18권4호
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    • pp.353-362
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    • 2019
  • Soil-rock mixture (S-RM) is an inhomogeneous geomaterial that is widely encountered in nature. The mechanical and physical properties of S-RM are important factors contributing towards different deformation characteristics and unstable modes of the talus slope. In this paper, the equivalent substitution method was employed for the preparation of S-RM test samples, and large-scale triaxial laboratory tests were conducted to investigate their mechanical parameters by varying the water content and confining pressure. Additionally, a simplified geological model based on the finite element method was established to compare the stability of talus slopes with different strength parameters and in different excavation and support processes. The results showed that the S-RM samples exhibit slight strain softening and strain hardening under low and high water content, respectively. The water content of S-RM also had an effect on decreasing strength parameters, with the decrease in magnitude of the cohesive force and internal friction angle being mainly influenced by the low and high water content, respectively. The stability of talus slope decreased with a decrease in the cohesion force and internal friction angle, thereby creating a new shallow slip surface. Since the excavation of toe of the slope for road construction can easily cause a landslide, anti-slide piles can be used to effectively improve the slope stability, especially for shallow excavations. But the efficacy of anti-slide piles gradually decreases with increasing water content. This paper can act as a reference for the selection of strength parameters of S-RM and provide an analysis of the instability of the talus slope.

Physical and numerical modelling of the inherent variability of shear strength in soil mechanics

  • Chenari, Reza Jamshidi;Fatahi, Behzad;Ghoreishi, Malahat;Taleb, Ali
    • Geomechanics and Engineering
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    • 제17권1호
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    • pp.31-45
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    • 2019
  • In this study the spatial variability of soils is substantiated physically and numerically by using random field theory. Heterogeneous samples are fabricated by combining nine homogeneous soil clusters that are assumed to be elements of an adopted random field. Homogeneous soils are prepared by mixing different percentages of kaolin and bentonite at water contents equivalent to their respective liquid limits. Comprehensive characteristic laboratory tests were carried out before embarking on direct shear experiments to deduce the basic correlations and properties of nine homogeneous soil clusters that serve to reconstitute the heterogeneous samples. The tests consist of Atterberg limits, and Oedometric and unconfined compression tests. The undrained shear strength of nine soil clusters were measured by the unconfined compression test data, and then correlations were made between the water content and the strength and stiffness of soil samples with different consistency limits. The direct shear strength of heterogeneous samples of different stochastic properties was then evaluated by physical and numerical modelling using FISH code programming in finite difference software of $FLAC^{3D}$. The results of the experimental and stochastic numerical analyses were then compared. The deviation of numerical simulations from direct shear load-displacement profiles taken from different sources were discussed, potential sources of error was introduced and elaborated. This study was primarily to explain the mathematical and physical procedures of sample preparation in stochastic soil mechanics. It can be extended to different problems and applications in geotechnical engineering discipline to take in to account the variability of strength and deformation parameters.

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.

로우터리 맥류파종기 경운날의 개량시험 (Improvement of Rotary Tine for Barley Seeder Attached to Rotary Tiller)

  • 김성래;김문규;김기대;허윤근
    • Journal of Biosystems Engineering
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    • 제4권1호
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    • pp.1-23
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    • 1979
  • The use of barley seeder attached to rotary tiller in the rural area has a significant meaning not only for the solution of labor peak season, but also for the increase of land utilization efficiency. The facts that presently being used barley seeders are all based on the mechanical principles of the reverse rotation, center drive and are all using forward rotating tine, which is used to be easily and heavily worn out when it rotates reversely, raise problem of recommending them to rural area in Korea. Therefore, the main objective of the study was to develop new type of rotary tine attachable to barley seeders. To attain the objective the following approaches were applied. (1) The kinematic analysis of reverse rotating barley seeders. (2) The studies on the soil bin and artificial soil. (3) The comparative experiment on the power requirement of prototype tine. The results obtained from the studies are summarized as follow: 1. The kinematic analysis of barley seeder attached to rotary tiller: The following results were obtained from the kinematic analysis for deriving general formulae of the motion and velocity characterizing the rotary tine of barley seeders presently being used by farmers. a) The position vector (P) of edge point (P) in the rotary tine of reverse rotating, center drive was obtained by the following formula. $$P=(vt+Rcos wt)i+Rsin wt j+ \{ Rcos \theta r sin \alpha cos (wt- \beta +\theta r) +Rsin \theta r sin \alpha sin (wt-\beta + \theta r) \} lk $$ b) The velocity of edge point $(P^')$ of reverse rotating, center drive rotary tine was obtained by the following formula. $$(P^')=(V-wR sin wt)i+(w\cdot Rcoswt)j + \{ -w\cdot Rcos \theta r\cdot sin \alpha \cdot sin (wt-\beta +\theta r) + w\cdot Rsin \theta r\cdot sin \alpha \cdot cos (wt- \beta + \theta r \} k $$ c) In order to reduce the power requirement of rotary tine, the angle between holder and edge point was desired to be reduced. d) In order to reduce the power requirement, the edge point of rotary tine should be moved from the angle at the begining of cutting to center line of machine, and the additional cutting width should be also reduced. 2. The studies on the soil bin and artificial soil: In order to measure the power requirement of various cutting tines under the same physical condition of soil, the indoor experiments Viere conducted by filling soil bin with artificially made soil similar to the common paddy soil and the results were as follows: a) When the rolling frequencies$(x)$ of the artificial soil were increased, the densIty$(Y)$ was also increased as follows: $$y=1.073200 +0.070780x - 0.002263x^2 (g/cm^3)$$ b) The absolute hardness $(Y)$ of soil had following relationship with the rolling frequencies$(x)$ and were increased as the rolling frequencies were increased. $$Y=37.74 - \frac {0.64 + 0.17x-0. 0054x^2} {(3.36-0.17x + 0.0054x^2)^3} (kg/cm^3)$$ c) The density of soil had significant effect on the cohesion and angle of internal friction of soil. For instance, the soil with density of 1.6 to 1.75 had equivalent density of sandy loam soil with 29.5% of natural soil moisture content. d) The coefficient of kinetiic friction of iron plate on artificial soil was 0.31 to 0.41 and was comparable with that of the natural soil. e) When the pulling speed of soil bin was the 2nd forward speed of power tiller, the rpm of driving shaft of rotary was similar to that of power tiller, soil bin apparatus is indicating the good indoor tester. 3. The comparative experiment on the power requirement of prototype tine of reverse rotating rotary: According to the preliminary test of rotary tine developed with various degrees of angle between holder and edge pcint due to the kinematic analysis, comparative test between prototype rotary tine with $30 ^\circ $ and $10 ^\circ$ of it and presently being used rotary tine was carried out 2nd the results were as follows: a) The total cutting torque was low when the angle between holder and edge point was reduced. b) $\theta r$ (angle between holder and edge point) of rotary tine seemed to be one: of the factors maximizing the increase of torque. c) As the angle between holder and edge point ($\theta r$) of rotary tine was $30 ^\circ $ rather than $45 ^\circ $, the angle of rotation during cutting soil was reduced and the total cutting torque was accordingly reduced about 10%, and the reduction efficiency of total cutting torque was low when the angle between holder and edge point ($\theta r$) of rotary tine was $10 ^\circ $, which indicates that the proper angle between holder and edge point of rotary tine should be larger than $10 ^\circ $ and smaller than $30 ^\circ $ . From above results, it could be concluded that the use of the prototype rotary tine which reduced the angle between holder and edge point to $30 ^\circ $, insted of $45 ^\circ $, is disirable not only decreasing the power requirements, but also increasing the durabie hour of it. Also forward researches are needed, WIlich determine the optimum tilted angle of rotary brocket, and rearrangement of the rotary tine on the rotary boss.

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