• Title/Summary/Keyword: Hoek-Brown

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Pseudostatic analysis of bearing capacity of embedded strip footings in rock masses using the upper bound method

  • Saeed Shamloo;Meysam Imani
    • Geomechanics and Engineering
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    • v.34 no.4
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    • pp.381-396
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    • 2023
  • The present paper evaluates seismic bearing capacity of rock masses subjected to loads of strip footings using the upper bound method. A general formula was proposed to evaluate the seismic bearing capacity considering both the horizontal and vertical accelerations of the earthquake and the effects of footing embedment depth simultaneously. Modified Hoek-Brown failure criterion was employed for the rock mass. Some comparisons were made with the available solutions and the finite element numerical models to show the accuracy of the developed upper bound formulations. The obtained results show significant improvement compared to the other available solutions. By increasing the horizontal earthquake acceleration from 0.1 to 0.3, the bearing capacity was reduced by up to 39%, while the effect of the vertical earthquake acceleration depends on its direction. An upward acceleration in the range of zero to 0.2 results in an increase in the bearing capacity by up to 24%, while the downward earthquake acceleration has an adverse effect. Also, by increasing the embedment depth of the footing from zero to 5 times the footing width, the value of seismic bearing capacity was raised about 86%. The obtained results were presented as design tables for use in practical applications.

Tunnel Stability Assessment Considering Rock Damage from Blasting Near to Excavation Line (굴착선 주변공 발파의 암반손상을 고려한 터널 안정성 검토)

  • 이인모;윤현진;이형주;이상돈;박봉기
    • Journal of the Korean Geotechnical Society
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    • v.19 no.4
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    • pp.167-178
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    • 2003
  • Damage and overbreak of the remaining rock induced by blasting can not be avoided during tunnel construction which may result in either short-term or long-term tunnel instability. Therefore, in this paper, a methodology to take into account the effect of blast-induced damage in tunnel stability assessment is proposed. Dynamic numerical analysis was executed to evaluate damage and overbreak of the remaining rock for the most common blasting pattern in road tunnel. Rock damage was quantified by utilizing the damage variable factor which is adopted proposed in continuum damage mechanics. The damaged rock stiffness and the damaged failure criteria are used to consider the effect of rock damage in tunnel stability analysis. The damaged geological strength index of the damaged rock was newly proposed from the relationship between deformation modulus and geological strength index. Also the Hoek-Brown failure criteria of the damaged rock was obtained using the damaged geological strength index. Analysing the tunnel stability with the consideration of the blast-induced damage of remaining rock, it was found that the extend of plastic zone and deformation increased compared to the undamaged rock. Therefore the short-term or long-term tunnel stability will be threatened when the rock damage from blasting is ignored in the tunnel stability analysis.

터널

  • 김교원;김학준;노병돈;이현범
    • Proceedings of the KSEG Conference
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    • 2004.03a
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    • pp.21001-21090
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    • 2004
  • 지반에 터널을 굴착하는 경우 지중 응력은 교란되게 되며 굴착면 근처에서는 응력이 재분포하게 된다. 그러므로 굴착면 주변의 응력분포를 알기 위해서는 굴착 전의 지중 응력을 측정하거나 예측해야 한다. Hoek과 Brown(1980)은 여러 지역에서 수집한 지중 응력의 실측자료를 그림2.1-1과 그림 2.1-2와 같이 나타내었다. 그림2.1-1에 의하면 다음 식에서 수직응력 ($\sigma_z$)이 단위 중량($\gamma$)과 심도(z)에 의해서 예측하는 값과 잘 일치하고 있음을 보여준다. (중략)

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암석의 파괴거동 모형화에 대한 고찰

  • 김문겸;장정범;오금호;이필규
    • Proceedings of the Korean Society for Rock Mechanics Conference
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    • 1995.03a
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    • pp.67-81
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    • 1995
  • 암반 구조체를 해석하기 위해서는 파괴전의 응력-변형률 거동뿐만 아니라 파괴를 구성하는 삼차원 응력 상태를 알아야 한다. 암반의 파괴를 지배하는 조건을 결정하기 위해서는 일반적인 삼차원 파괴기준이 필요하다. 암반의 파괴를 이루는 응력상태를 파악하기 위해 많은 실험적 연구가 수행되었으며 특히 장비의 사용에 있어서 하중 메카니즘과 시료의 경계조건의 개선에 많은 연구가 진행되었다. 암반의 파괴조건을 설명하는 데에는 이러한 기본적인 기준들 이외에도 경험적인 기준들이 사용되어 왔다. Hoek 와 Brown 은 비등방성 재료의 강도에 대해 연구하였고 순수암(intact rock)의 강도에 대한 경험적인 기준을 제안하였다. (중략)

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A Study on the Characteristics of Rock Mass by GSI in Limestone Mine (석회석 광산에서의 GSI 분류법에 의한 암반특성연구)

  • ;Kaynnam U. M. Rao
    • Tunnel and Underground Space
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    • v.14 no.2
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    • pp.86-96
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    • 2004
  • Rock mass classification methods such as RMR, Q system and GSl have been widely adopted with certain modifications for the design of mine openings. The GSI system is the only rock mass classification system that is related to Mohr-Coulomb and Hoek-Brown strength parameters and gives a simple method to calculate the engineering properties of rock masses which can be useful input parameters for a numerical analysis. A detailed surveying for GSI mapping as well as far calculating RMR values was undertaken at Daesung and Pyunghae underground limestone mining sites. RQD values were determined for row locations in these two mining sites. Based on GSI values and intact rock strength properties, the rock mass strength modulus of elasticity as well as the Mohr-Coulomb strength parameter c$_{m}$ and $\phi$$_{m}$ were determined. GSI and RMR are correlated.

Estimation of elastic and plastic zones near a tunnel considering in situ rock mass conditions and the damage induced by excavation (원지반의 암반조건과 시공으로 인한 손상을 고려한 터널주변 탄·소성영역의 산정)

  • Sagong, Myung;Paik, Kyuho
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.6 no.3
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    • pp.227-235
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    • 2004
  • Tunneling in rock mass produces two types of damages in the vicinity of a tunnel: structural and constructional damages. Structural damage represents the damage induced by the unbalance of geostatic stress caused by the tunneling, and constructional damage is the damage produced during the construction. In this study, formulations of tangential and radial stresses in the elastic and plastic zones near a tunnel, and the calculation of radius of plastic zone surrounding a tunnel are introduced by modifying the Hoek-Brown criterion of 2002 edition, which has capability of considering in situ rock mass characteristics and construction damage. From the parametric study, influences of rock mass quality, uniaxial compressive strength of intact rock, and the dimension of the tunnel on the plastic zone are investigated. The accuracy of the proposed approach is evaluated by comparing with results from the previous study.

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Damage-controlled test to determine the input parameters for CWFS model and its application to simulation of brittle failure (CWFS모델변수 결정을 위한 손상제어시험 및 이를 활용한 취성파괴모델링)

  • Cheon, Dae-Sung;Park, Chan;Jeon, Seok-Won;Jung, Yong-Bok
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.9 no.3
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    • pp.263-273
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    • 2007
  • When a tunnel or an underground structure is excavated in deep geological environments, the failure process is affected and eventually dominated by stress-induced fractures growing preferentially parallel to the excavation boundary. This fracturing is generally referred to as brittle failure by spatting and slabbing. Continuum models with traditional failure criteria such as Hoek-Brown or Mohr-Coulomb criteria have not been successful in prediction of the extent and depth of brittle failure. Instead cohesion weakening and frictional strengthening (CWFS) model is known to predict brittle failure well. In this study, CWFS model was applied to predict the brittle failure around a circular opening observed in physical model experiments. To obtain the input parameters for CWFS model, damage-controlled tests were carried out. The predicted depth and extent of brittle failure using CWFS model were compared to the results of the physical model experiment and numerical simulation using traditional model.

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Study on a 3-Dimensional Rock Failure Criterion Approximating to Mohr-Coulomb Surface (Mohr-Coulomb 파괴곡면에 근사하는 암석의 3차원 파괴조건식 고찰)

  • Lee, Youn-Kyou
    • Tunnel and Underground Space
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    • v.21 no.2
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    • pp.93-102
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    • 2011
  • In spite of being unable to take into the effect of intermediate principal stress, Mohr-Coulomb and Hoek-Brown criteria are very popular as rock failure criteria. The recent researches reveal that the influence of intermediate principal stress on the failure strength of rock is substantial, so that 3-D failure criteria in which the intermediate principal stress could be considered is necessary for the safe design of the important rock structures. In this study, the likely application of the 3-D failure criterion proposed by Jiang & Pietruszczak (1988) to the prediction of the true triaxial strength of rock materials is discussed. The failure condition is linear in the meridian plane of principal stress space and it is represented by the smooth surface contacting the corners of the Mohr-Coulomb surface. The performance of the Jiang & Pietruszczak's criterion is demonstrated by simulating the actual true triaxial tests on the rock samples of three different rock types.

The Mechanical Properties of Limestones Distributed in Jecheon (제천지역 석회암의 역학적 특성에 관한 연구)

  • Kim, Jong Woo;Kim, Min Sik;Kim, Pyoung Gi;Nor, Seung Jae;Park, Chan;Jo, Young Do;Park, Sam Gyu
    • Tunnel and Underground Space
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    • v.22 no.5
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    • pp.354-364
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    • 2012
  • In order to evaluate the physical properties of rock which might serve as a database for both mining and civil works, a lot of laboratory tests for Jecheon limestones were conducted to find unit weight, absorption ratio, porosity, elastic wave velocity, uniaxial compressive strength, Young's modulus, poisson's ratio, tensile strength, shore hardness, friction angle and cohesion. On investigation of the mechanical properties of both the gray limestone and the clayey limestone distributed in the studied region, the clayey limestone turned out to have more weak mechanical properties which might come from low unit weight, high absorption ratio and high porosity of rocks. The failure criteria of Jecheon limestones were discussed by means of both Mohr-Coulomb criterion and Hoek-Brown criterion. Regression analyses of the physical properties obtained from a lot of laboratory tests were also conducted by means of both linear and multiple regression analyses.

The Mechanical Properties of Rocks Distributed at a Metal Mine in Jeongseon (정선지역 철광산에 분포하는 암석의 역학적 특성)

  • Kim, Jong-Woo;Park, Chan;Kim, Ju-Hwan;Heo, Seok;Kim, Dong-Kyu;Lee, Dong-Kil;Jo, Young-Do;Park, Sam-Gyu
    • Tunnel and Underground Space
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    • v.25 no.3
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    • pp.231-243
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    • 2015
  • In this study, both in-situ stress measurements and a lot of laboratory rock tests were conducted at a metal mine in Jeongseon, Korea. The stress ratio obtained from in-situ stress measurements showed a tendency to decrease according to depth below surface and its average value was 1.10. The mechanical properties such as unit weight, absorption ratio, porosity, elastic wave velocity, uniaxial compressive strength, Young's modulus, Poisson's ratio, tensile strength, shore hardness, friction angle and cohesion were investigated for the four different rocks mainly distributed at a studied mine, which were dolomite, felsite, granite and magnetite. The mechanical properties of the four different rocks were compared by means of statistical analyses, whereupon the felsite and the granite turned out to have more strength characteristics than the magnetite. The correlation of mechanical properties was also investigated, whereupon a few results against the general correlation were found out. The failure criteria of the four different rocks were finally discussed by means of both Mohr-Coulomb criterion and Hoek-Brown criterion.