• Title/Summary/Keyword: isotropic point

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The Anisotropic Mechanical Characteristics of the Metamorphic Rocks Distributed in the Samkwang-Mine Area, Cheongyang, Chungnam (충남 청양군 운곡면 일원에 분포하는 편마암의 강도이방성 특성 - 점재하강도지수와 일축압축강도의 관계를 중심으로 -)

  • 배대석;송무영;김경수
    • The Journal of Engineering Geology
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    • v.1 no.1
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    • pp.54-67
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    • 1991
  • In geological media with anisotropic properties, the strength anisotropy in intact rock is the most important issue in engineering aspects. Point-ioad(P/L) strength test designed to estimate the uniaxial compressive strength(${\sigma}_c$) can be used to evaluate the anisotropic strength characteristics of rocks. The relationship between ${\sigma}_c$ and P/L strength indices(I$_s$), obtained from the banded gneisses distributed in the Cheongyang area, varies depend mainly on the dip angle($\beta$) of foliation. The axial P/L strength indicies(I$_{sa}$) decreases with the increment of $\beta$, whereas diametral P/L strength indices(I$_{sa}$) increase with it. However, the ${\sigma}_c$ decreases with the increments of $\beta$ below about 40$^{\circ}$, but it increases with the increments of $\beta$ over about 40$^{\circ}$ in general. The correlation between ${\sigma}_c$ and I$_s$ suggests that ${\sigma}_c$ is related to the Isa withing low angle($\beta$<40$^{\circ}$) and the I$_{sd}$ within high angle ($\beta$>40$^{\circ}$), respectively. The ratios of I$_s$ to ${\sigma}_c$ are obtained as 11 to 14 in the the gneisses in the study area. The ratio of 24, which is generally adopted value, cannot always be truthworth to the gneisses in the study area. The ratio for the dykes, however, show a good correlation as 21 to 24.5 and, the value of 24 can be used for a homogeneous and isotropic materials such as dykes.

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The Forced Motion Analyses by Using Two Dimensional 6-Node and Three Dimensional 16-Node Isoparametric Elements with Modification of Gauss Sampling Point (6절점 2차원 및 16절점 3차원 등매개변수 요소의 가우스 적분점 수정을 이용한 강제진동 해석)

  • 김정운;권영두
    • Computational Structural Engineering
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    • v.8 no.4
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    • pp.87-97
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    • 1995
  • For the same configuration of two-dimensional finite element models, 6-node element exhibits stiffer bending stiffness than 8-node element. This is true in the relation between 16-node element and 20-node element for three-dimensional model. This stiffening phenomenon comes from the elimination of several mid nodes from full-node elements. Therefore, this may be called 'relative stiffness stiffening phenomenon'. It seems that there are a couple of ways to correct the stiffening effect, however, we could find only one effective method-the method of modification of Gauss sampling points-which passes the patch test and does not alter other kinds of stiffness, such as extensional stiffness. The quantity of modification is a function of Poisson's ratios of the constituent materials. We could obtain two modification equations, one for plane stress case and the other for plane strain case. This method can be extended to 3-dimensional solid elements. Except the exact plane strain cases, most 3-dimensional plates could be modeled successfully with 16-node element modified by the equation for the plane stress case. The effectiveness of the modification method is checked by applying it to several examples with excellent improvements. In numerical examples, beams with various boundary conditions are subjected to static and time-dependent loads. Free and forced motion analyses of beams and plates are also tested. The beam and plate may be composed of isotropic multilayers as well as a single layer.

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Thermotropic Liquid Crystalline Properties of Glucose Penta(cholesteryloxycarbonyl)alkanoates (글루코오스 펜타(콜레스테릴옥시카보닐)알카노에이트들의 열방성 액정 특성)

  • Jeong, Seung-Yong;Ma, Yung Dae
    • Applied Chemistry for Engineering
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    • v.18 no.5
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    • pp.475-482
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    • 2007
  • The thermal and optical properties of glucose penta(cholesteryloxycarbonyl)alkanoates (CAGLn, n = 2~8, 10, the number of methylene units in the spacer) were investigated. All the CAGLn formed monotropic cholesteric phases with left-handed helical structures. CAGLn with n = 2 or 10, in contrast with CAGLn with $3{\leq}n{\leq}8$, did not display reflection colors over the full cholesteric range, suggesting that the helical twisting power of the cholesteryl group highly depends on the length of the spacer joining the cholesteryl group to the glucose chain. The isotropic-cholesteric transition point ($T_{ic}$) decreased with increasing n and showed no odd-even effect. The plot of transition entropy at $T_{ic}$ against n had a sharp negative inflection at n = 7. The optical pitches (${{\lambda}_m}^{\prime}$ s) of CAGLn with $3{\leq}n{\leq}8$ decreased with increasing temperature. However, the temperature dependence of the ${\lambda}_m$ of the derivatives exhibited pronounced dependence on n. The transitional properties and the temperature dependence of the ${\lambda}_m$ observed for CAGLn were discussed in terms of the differences in arrangement of the cholesteryl groups and the conformation of the molecules.

Analysis of Influencing Factors on Strength Characteristics of Cemented Sand (고결모래의 강도특성에 대한 영향요인 분석)

  • Lee, Moon-Joo;Choi, Sung-Kun;Choo, Hyun-Wook;Cho, Yong-Soon;Lee, Woo-Jin
    • Journal of the Korean Geotechnical Society
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    • v.23 no.12
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    • pp.75-82
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    • 2007
  • The effects of sitting pressure(${\sigma_{sit}}'$) during cementation, relative density and particle characteristics on the cohesion intercept due to cementation bonds and the confining stress inducing the breakage of cementation bonds ${p_i}'_{(BP)}$ are investigated from drained shear tests on the cemented sands confined under the isotropic stress up to 400 kPa. It was observed from the experimental results that the cemented sands, with the same density and gypsum content, show similar values of cohesion intercept and ${p_i}'_{(BP)}$, regardless of ${\sigma_{sit}}'$. Although the cohesion intercept and ${p_i}'_{(BP)}$ of cemented sands are observed to increase with increasing relative density and cementation level, the relative density appears to have more significant effect on ${p_i}'_{(BP)}$ than the cohesion intercept does. From analysing the test results of three different sands, it is shown that the smaller the particle size the larger the cohesion intercept and ${p_i}'_{(BP)}$, due to the increased number of contact points between the particles.