• Title/Summary/Keyword: 응력무차원화

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Derivation of Mohr Envelope of Hoek-Brown Failure Criterion Using Non-Dimensional Stress Transformation (응력무차원화 변환을 이용한 Hoek-Brown 파괴함수의 Mohr 파괴포락선 유도)

  • Lee, Youn-Kyou
    • Tunnel and Underground Space
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    • v.24 no.1
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    • pp.81-88
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    • 2014
  • In the course of performing the stability analysis of rock structures, there are times when the strength of the Hoek-Brown rock mass needs to be understood in terms of the internal friction angle and cohesion. In this case, the original Hoek-Brown criteion, giving the relationship between ${\sigma}_1$ and ${\sigma}_3$ at failure, have to be transformed to the corresponding Mohr envelope. A new approach to derive the Mohr envelope of the Hoek-Brown criterion is suggested in this study. The new method is based on the Londe's transformation making the stress components dimensionless. The correctness of the derivation leading to the new ${\tau}-{\sigma}$ relationship is confirmed by comparing the calculation results with the Bray's solution through a verification example.

Vibrational Chacacteristics of Initially Stressed Laminated Plates (초기응력을 받는 적층판의 진동특성에 관한 연구)

  • Park, Sung-Jin;Baek, Joo-Eun
    • Proceedings of the Korean Society of Disaster Information Conference
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    • 2016.11a
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    • pp.188-189
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    • 2016
  • 본 논문은 초기하중을 하중을 받는 역대칭 angle-ply 와 cross-ply 적층판의 좌굴 및 진동특성을 무재하시의 고유진동수를 이용하여 산정하는 간편법을 제시하였다. 마주보는 두변이 단순 지지된 역대칭 적층판의 운동방정식은 전단변형과 회전강성효과를 고려한 YSN 이론으로 유도하였으며 이를 선점법을 이용하여 해석하였다. 초기응력을 받는 적층판의 무차원화 고유진동수, 임계좌굴계수 및 동적 주 불안정영역 문제들을 무재하시의 무차원화 고유진동수로서 각각의 특성을 정립시켰다. 본 연구에서 제안한 진동특성에 관한 간편산정식의 정당성과 사용성을 입증하기 위하여 수치예들로서 검토하였다.

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Equation for Estimating Natural Frequencies of Initially Stressed Rectangular Plates (초기응력을 받는 직사각형판의 고유진동수 산정식 개발)

  • Park, Sung-Jin
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.18 no.1
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    • pp.150-159
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    • 2014
  • A simplified method for the calculation of buckling and vibrational characteristics of initially stressed rectangular plate and antisymmetric angle-ply laminated plates is presented in this paper using the natural frequencies under unloading state. The equation of motion of rectangular plate with two opposite edges simply supported is investigated on the basis of Rayleigh-Ritz method and Mindlin plate theory with effect of the curvature term. The relationships of the non-dimensional natural frequencies with initial stresses the coeffcients of critical buckling and the boundaries of the dynamic principal instability region can be characterized by the non-dimensional natureal frequencies under unloading state. Numerical examples are presented to verify the simplified equations and to illustrate potential applications of the analysis.

Analysis of a Branched Crack in a Semi-Infinite Plate Under Tension and Bending Moment (인장과 굽힘을 받는 반무한 평판내의 분기균열 해석)

  • 김유환;범현규;박치용
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.3
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    • pp.433-440
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    • 2002
  • A branched crack in a semi-infinite plate under uniform tension and bending moment is considered in this study By using the superposition, the stress and moment intensity factors for the branched crack subjected to uniform tension and bending moment we evaluated. The stress intensity factors we obtained by using the finite element method and the J-based mutual integral. The moment intensity factors are calculated by extrapolating the values of the moment new the crack tip. Numerical results lot the normalized stress and moment Intensity factors we shown as functions of the ratio of branched crack length to main crack length and the branching angle.

Analysis of cracks emanating from a circular hole in an orthotropic infinite plate (直交 異方性 無限平版 內部의 圓孔周圍 龜裂 解析)

  • 정성균;홍창선
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.6
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    • pp.895-903
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    • 1987
  • This paper investigates the problem of cracks emanating from a circular hole in an orthotropic infinite plate. The mixed-mode stress intensity factors are obtained by using the modified mapping-collocation method. To investigate the effect of anisotropy and circular hole boundary on crack tip singularity, stress intensity factors are considered as functions of the normalized crack length for various types of laminated composite. The results indicate a strong dependence of the stress intensity factor on the material anisotropy and geometry.

Prediction of Steady-State Stresses within Heat Affected Zone Due to Creep Mismatch in Welded Straight Pipes (직관 용접부의 크리프 특성 불균일에 따른 열영향부 정상상태 응력 예측)

  • Han, Jae-Jun;Kim, Sang-Hyun;Chung, Jin-Taek;Kim, Yun-Jae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.3
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    • pp.405-412
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    • 2013
  • This paper reports the steady-state stresses within the heat affected zone (HAZ) of a welded straight pipe subject to creep. The creep constants and exponent are varied systematically to see the effect of various mismatches in creep properties on the steady-state creep stresses, via detailed two-dimensional finite element (FE) creep analyses. The weldments consist of the base metal and weld metal with the HAZ, which are characterized using the idealized power creep laws with the same creep exponent. The internal pressure and axial loading are considered to see the effect of the loading mode. To quantify the creep stresses, a creep mismatch factor is introduced as a function of the creep constants and exponent. It is concluded that the ratio of the section-averaged stresses for a mismatched case to those for an evenmatched case are linearly dependent on the mismatch factor. The results are compared with the FE results, including the Type IV region, as well as the R5 procedure.

Liquifaction Characteristics of Saemangeum Dredged Sand Depending on Relative Density (상대밀도의 변화에 따른 새만금준설토의 액상화 특성)

  • Kim, Yoo-Seong;Seo, Se-Gwan
    • Journal of the Korean Geosynthetics Society
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    • v.8 no.1
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    • pp.25-32
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    • 2009
  • In reclaimed loose sandy layer with dredged soil, liquefaction by the small scale earthquake coud be occurred easily. A study has been carried out to investigate the Liquefaction characteristic on Saemangeum dredged sandy soil, and compared with other results from the literature investigation. A series of undrained cyclic triaxial compression tests were performed on dredged sandy soil of Seamangeum area. The tests were performed at the three different initial relative densities(namely 30%, 50%, 70%), different cyclic stress ratio and different consolidation stress condition. The results of this study showed that cyclic stresses (${\sigma}_d$) increased linearly with increase of consolidation ratio, but the stress ratios (${\sigma}_d/2{\sigma}^{\prime}{_c}$) were almost same. The stress ratios were increased almost linearly with increase of relative density. Compared with other sandy soil, Saemangeum dredged sandy soil showed relatively weak liquifaction characteristics.

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Determination of longitudinal dispersion coefficient in open channel flow with submerged vegetation (수중식생이 있는 개수로 흐름에서의 종분산계수 산정)

  • Seo, Il Won;Seo, Jinyu;Bang, Joo Young
    • Proceedings of the Korea Water Resources Association Conference
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    • 2018.05a
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    • pp.141-141
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    • 2018
  • 자연하천에 존재하는 식생은 동식물에게 주거지를 제공할 뿐만 아니라 영양염류 흡착 및 정화작용을 통해 수질을 개선시키는 역할을 한다. 이러한 식생하천에 오염물질이 유입될 경우 식생에 의한 흐름 교란 작용으로 인해 오염물의 확산거동에 큰 영향을 주게 된다. 본 연구에서는 식생하천에서의 오염물질 혼합특성을 분석하기 위해 식생모형 실험을 수행하였고, Fischer et al (1979)이 제시한 이론식을 실험결과에 적용하여 종분산계수를 산정하고자 한다. 본 연구에서는 자연하천을 재현하기 위해 실험수로에 수중식생 모형을 설치한 후 ADV-Vectrino유속계를 이용하여 유속을 측정하였으며 실험을 통해 식생흐름에서의 유속분포 자료를 취득하고 이를 바탕으로 종분산계수를 산정하였다. 먼저 수중 식생흐름에서 연직유속분포를 측정한 결과, 식생이 존재하는 바닥근처에서는 유속이 느리다가 비식생 구간으로 가면서 유속이 증가하는 분포를 나타낸다. 또한 이 설치된 테스트 구간에 밀도와 유량변화에 따른 케이스를 적용하여 비교 및 분석을 한 결과 식생 밀도를 고정시키고 유량을 증가 시켰을 때 식생구간과 식생이 없는 구간에서의 유속도 증가하는 경향을 보였으며, 유량을 고정시키고 식생의 밀도를 순차적으로 높였을 경우 식생구간에서의 유속이 점차적으로 줄어드는 경향을 보였다. 다음으로 분산계수를 결정하는 방법에는 농도자료를 이용하는 방법과 유속자료를 이용하는 방법이 있는데 본 연구에서는 유속자료를 Fischer et al. (1979)의 이론식에 적용하여 분산계수를 산정하는 방법을 적용하였다. Fischer et al. (1979)가 제시한 식에서 먼저 전단 유속 값을 산정하기 위해 벽법칙 (Karman, 1930), 레이놀즈 전단응력 그리고, 난류운동에너지 (Graf, 1998) 방법을 사용한 후 복잡한 난류 흐름에 적용하기 가장 적합하다는 난류운동에너지 방법을 적용하여 전단 응력이 가장 크게 나온 식생모델 끝단에서의 값을 사용하였다. 그 결과, 수중 식생이 존재하는 흐름에서 무차원화 시킨 종분산계수는 6.89-9.78로 나타났다, 이는 Elder (1959)의 수심 적분을 통해 제시한 종분산계수 값 5.93보다 크다. 즉, 수중 식생이 존재할 경우 종분산계수는 식생이 존재 하지 않을 때 보다 증가하는 것으로 보여 진다.

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Effect of Various Parameters on Stress Distribution around Holes in Mechanically Fastened Composite Laminates (기계적으로 체결된 복합재료 평판에서 다양한 인자의 영향에 따른 원공 주위의 응력분포)

  • Choi Jae-Min;Chun Heoung-Jae;Byun Joon-Hyung
    • Composites Research
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    • v.18 no.6
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    • pp.9-18
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    • 2005
  • With the wide applications of fiber-reinforced composite material in aero-structures and mechanical parts, the design of composite joints have become a very important research area because the joints are often the weakest areas in composite structures. This paper presents an analytical study of the stress distributions in mechanically single-fastened and multi-fastened composite laminates. The finite element models which treat the pin and hole contact problem using a contact stress analysis are described. A dimensionless stress concentration factor is used to compare the stress distributions in composite laminates quantitatively In the case of single-pin loaded composite laminate, the effects of stacking sequence, the ratio of a hole diameter and the width of a laminate (W/D ratio), the ratio of hole diameter and distance from edge to hole (E/D ratio), friction coefficient and clamping force are considered. In the case of multi-pin loaded composite laminate, the influence of the number of pins, pitch distance, number of rows, row spacing and hole pattern are considered. The results show that P/D ratio and E/D ratio affect more on stress distributions near the hole boundary than the other factors. In the case of multi-pin loaded composite laminate, the stress concentration in the double column case is better than the other cases of multi-pin loaded composite laminate.

Dynamic Characteristics of Cross-Ply Laminated Shells (CROSS-PLY 적층쉘의 동적특성에 관한 최적화 설계 연구)

  • Park, Sungjin
    • Journal of the Society of Disaster Information
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    • v.11 no.4
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    • pp.527-533
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    • 2015
  • A simplified method for the calculation of dynamic characteristics of initially stressed antisymmetric cross-ply laminated shells is presented in this paper using the natural frequencies under unloading state. The equation of motion of laminated shell with two opposite edges simply supported is investigated on the basis of Rayleigh-Ritz method and Mindlin shell theory with effect of the curvature term. The relationships of the non-dimensional natural frequencies with initial stresses the coeffcients of critical buckling and the boundaries of te dynamic principal instability region can be characterized by the non-dimensional natureal frequencies under unloading state. Numerical examples are presented t verify the simplified equations and to illustrate potential applications of the analysis.