• Title/Summary/Keyword: elastic rock

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Mathematical Understanding of the Saint-Venant Approximation in Analysis of a Transverse Isotropy (평면이방성 분석에서 Saint-Venant 근사식의 수학적 해석)

  • Park, Chulwhan;Park, Chan;Park, Jung-Wook;Jung, Yong-Bok
    • Tunnel and Underground Space
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    • v.26 no.5
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    • pp.363-374
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    • 2016
  • All five independent elastic constants of a transversely isotropic rock sometimes need to be determined from a single specimen. Saint-Venant approximation has been widely used for a long time in the analysis of single specimen test. This paper has proven how this empirical equation can be mathematically transformed into a form of the apparent Young's modulus based on theory of elasticity. The transformed equation is a monotonous function on anisotropic angle and can be useful in the analysis of the in-situ stress measurement in an anisotropic rock mass. The estimations of data in literatures have shown that the measured values of $G^2$ are uniform on anisotropic angles and smaller than that of Saint-Venant's case. This decrement may be caused by sliding of the interface of strata and the decrement rate is inferred to relate well with the combination of bonding condition of strata and strength of rock material. Accumulation of these kinds of studies in the future enables to define the decrement and to determine elastic constants of a transversely isotropic rock from a single specimen from modifying Saint-Venant approximation.

Interpretation of Geophysical and Engineering Geology Data from a Test Site for Geological Field Trip in Jeungpyung, Chungbuk (충북 증평 지질학습장 시험부지에 대한 물리탐사 및 지질공학 자료의 해석)

  • Kim, Kwan-Soo;Yun, Hyun-Seok;Sa, Jin-Hyeon;Seo, Yong-Seok;Kim, Ji-Soo
    • The Journal of Engineering Geology
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    • v.26 no.3
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    • pp.339-352
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    • 2016
  • The best way of investigating the physical and mechanical properties of subsurface materials is the combined interpretation of data from borehole geophysical surveys and geotechnical experiments with rock samples. In this study two surface seismic surveys with refraction and surface-wave method are alternatively conducted for downhole seismic surveys in test site for geological field trip in Jeungpyung, Chungbuk. P- and S-wave velocity structures are delineated by refraction and MASW (multichannel analysis of shear waves) methods, respectively. Possion's ratio section, reconstructed from P- and S-wave velocities, is correlated to the outcrop geological features consisting of reddish sedimentary rock, gray volcanic rock, and joints/fractures. In addition, rock samples representative for reddish sedimentary and gray volcanic features are geotechnically analyzed to provide physical, mechanical properties, and elastic modulus. Dynamic elastic moduli estimated from geophysical data is found to be higher than the one from geotechnical data. Reddish sedimentary rock characterized with low porosity and moisture content corresponds to the zone of low electrical resistivities and their small variations in the resistivity sections between the rainy and dry days. This trend suggests that the weathered gray volcanic rock and the nearby fractures with higher low porosity and moisture content are interpreted to be good carrier especially in rainy season.

Predicting Uniaxial Compressive Strength and Elastic Modulus Using Brazilian Test (Brazilian시험을 이용한 일축압축강도, 탄성계수의 추정 (I))

  • Min, Tuk-Ki;Moon, Jong-Kyu;Ro, Jai-Sool
    • Journal of the Korean Geotechnical Society
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    • v.24 no.10
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    • pp.131-146
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    • 2008
  • Many attempts have been made to determine the uniaxial compressive strength and elastic modulus of regular specimens of rock indirectly. But little experimental work has been done to find above two parameters using Brazilian test value up to date. This paper employs Brazilian test value to estimate uniaxial compressive strength and elastic modulus of sedimentary (sand stone, shale) and metamorphic (gneiss) rocks. High reliability of Brazilian test has been supported by the established conclusions drawn from point load test and Schmidt hammer strike values. It has also been found that this method can be applied easily and rapidly to the estimation of uniaxial compressive strength and elastic modulus of rock cores when direct tests are not available.

A Study on the Characteristics of Dynamic Elastic Modulus in GyeongGi Gneiss Complex by Down Hole Test (하향식 탄성파를 통한 경기 편마암의 동탄성 특성연구)

  • Lee, Byok-Kyu;Lee, Su-Gon
    • The Journal of Engineering Geology
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    • v.18 no.4
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    • pp.371-379
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    • 2008
  • In this study, seismic elastic wave and dynamic elastic modulus properties are investigated by down-hole seismic tests that were applied to the 11 gneiss area. The research results show that the realtionship between the two properties are $V_s=0.5589{\times}V_p$ in gneiss. The relationship between the two properties are separated into two groups. Group 1 is influenced mainly by the specific gravity of rock, but group 2 is influenced mainly by the joint aperture. As weathering progresses, group 1 clearly shows a decreasing tendency. In fresh and slightly weathered rock-mass, correlations between $V_p$ and dynamic elastic modulus is expressed in linear line but in moderately-highly weathered rock-mass, correlations between $V_p$ and dynamic elastic modulus is expressed curve as a quadratic function. Correlations between $V_s$ and dynamic elastic modulus are analyzed similar with a $V_p$ case.

Theoretical explanation of rock splitting based on the micromechanical method

  • Huang, Houxu;Li, Jie;Hao, Yiqing;Dong, Xin
    • Geomechanics and Engineering
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    • v.14 no.3
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    • pp.225-231
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    • 2018
  • In this paper, in order to explain the splitting of cylindrical rock specimen under uniaxial loading, cracks in cylindrical rock specimen are divided into two kinds, the longitudinal crack and the slanting crack. Mechanical behavior of the rock is described by elastic-brittle-plastic model and splitting is assumed to suddenly occur when the uniaxial compressive strength is reached. Expression of the stresses induced by the longitudinal crack in direction perpendicular to the major axis of the crack is deduced by using the Maxwell model. Results show that the induced stress is tensile and can be greater than the tensile strength even before the uniaxial compressive strength is reached. By using the Inglis's formula and simplifying the cracks as slender ellipse, the above conclusions that drawn by using the Maxwell model are confirmed. Compared to shearing fracture, energy consumption of splitting seems to be less, and splitting is most likely to occur when the uniaxial loading is great and quick. Besides, explaining the rock core disking occurred under the fast axial unloading by using the Maxwell model may be helpful for understanding that rock core disking is fundamentally a tensile failure phenomenon.

A Study on the Characteristics of Dynamic Elastic Modulus in Granite (화강암 암반의 암질에 따른 동탄성 특성치에 관한 연구(경기, 경남지역 중심으로))

  • Lee, Byok-Kyu;Lee, Su-Gon;Lim, Bak-Man
    • Tunnel and Underground Space
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    • v.18 no.5
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    • pp.386-392
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    • 2008
  • Recently, an earthquake-resistant has become essential to the large-scale structures at Gyeonggi and Gyeongsangnam province in Korea, but it is generally compared the measured data with foreign references because of the lack of the research data. It will be presented the characteristics of suitable dynamic elastic modulus in Korean geology, which characteristics are characterized the seismic wave velocities($V_p,\;V_s$) and correlation with dynamic elastic modulus($E_d,\;G_d\;K_d$) by each rock type of Korean granite, because it is very different between the values of foreign references and Korean geological characteristics.

Micro/macro properties of geomaterials: a homogenization method for viscoelastic problem

  • Ichikawa, Yasuaki;Wang, Jianguo;Jeong, Gyo-Cheol
    • Structural Engineering and Mechanics
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    • v.4 no.6
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    • pp.631-644
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    • 1996
  • Geomaterials such as soil and rock are composed of discrete elements of microstructures with different grains and microcracks. The studies of these microstructures are of increasing interest in geophysics and geotechnical engineering relating to underground space development We first show experimental results undertaken for direct observation of microcrack initiation and propagation by using a newly developed experimental system, and next a homogenization method for treating a viscoelastic behavior of a polycrystalline rock.

Direct frequency domain analysis of concrete arch dams based on FE-BE procedure

  • Lotfi, Vahid
    • Structural Engineering and Mechanics
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    • v.26 no.4
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    • pp.363-376
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    • 2007
  • A FE-BE procedure is presented for dynamic analysis of concrete arch dams. In this technique, dam body is discretized by finite elements, while foundation rock is handled by three dimensional boundary element formulation. This would allow a rigorous inclusion of dam-foundation rock interaction, with no limitations imposed on geometry of canyon shape. Based on this method, a previously developed program is modified, and the response of Morrow Point arch dam is studied for various ratios of foundation rock to dam concrete elastic moduli under an empty reservoir condition. Furthermore, the effects of canyon shape on response of dam, is also discussed.

Comprehensive Monitoring System for the Prediction of Failure Behavior and the Ground Control of Large Scale Underground Excavation (대규모 지하공동의 파괴거동 예측 및 지반제어를 위한 종합시스템)

    • Tunnel and Underground Space
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    • v.8 no.2
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    • pp.130-138
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    • 1998
  • Comprehensive monitoring system for the safe and economical excavation of underground opening has been established by employing the 3 independent models each of which can i) predict the ultimate convergence, ii) assess the in-situ stresses and the elastic modulus of excavating rock, iii) calculate the time-dependent opening behavior with respect to the face advance rate and support pressure at the equilibrium state. Accuracy of each model has been verified through illustrative examples. The step-by-step procedures of comprehensive monitoring system for analyzing the rock behavior and the optimum support installation has been explained. The capability and applicability of this system to the practical excavation also has been discussed.

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Improvement Effect on Design Parameters by Pressure Grouting Applied on Micro-piling for Slope Reinforcement (가압식 마이크로파일로 보강된 사면의 설계인자 개량효과)

  • Hong, Won-Pyo;Han, Hyun-Hee;Choi, Yong-Ki;Hong, Ik-Pyo
    • Proceedings of the Korean Geotechical Society Conference
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    • 2005.03a
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    • pp.163-170
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    • 2005
  • In this paper, the rock bolts, soil nails with filling grout and the micro-piling with injecting grout by pressure were applied for the stabilization of the cut slopes consisting of sedimentary rocks, igneous rocks and metamorphic rocks respectively. The field measurements and 3-D FEM analyses to find out mobilized tensile stresses of the grouted-reinforcing members installed in the drilled holes were executed on each site. With assuming the increments of the cohesive strength in the improved ground, the back analysis using direct calibration approach of changing the elastic modulus of the ground was used to find out the improved elastic modulus which yields the same tensile stresses from field measurements. The results of back analysis show that the elastic modulus of the improved ground were 4 to 6 times as large as the elastic modulus of original ground. Consequently, the design for slope reinforcement to be more rational, it is proposed that not only the improved cohesive strength is to be used in the incremental ranges on well-known previous proposed data, but also the increased elastic modulus which is about 5 times as large as the original elastic modulus is to be considered in design.

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