• Title/Summary/Keyword: 변형집중계수

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Seismic analysis of tunnel considering the strain-dependent shear modulus and damping ratio of a Jointed rock mass (절리암반의 변형률 의존적 전단탄성계수 및 감쇠비 특성을 고려한 터널의 내진 해석)

  • Song, Ki-Il;Jung, Sung-Hoon;Cho, Gye-Chun;Lee, Jeong-Hark
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.12 no.4
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    • pp.295-306
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    • 2010
  • Contrary to an intact rock, the jointed rock mass shows strain-dependent deformation characteristics (elastic modulus and damping ratio). The maximum elastic modulus of a rock mass can be obtained from an elastic wave-based exploration in a small strain level and applied to seismic analyses. However, the assessment and application of the non-linear characteristics of rock masses in a small to medium strain level ($10^{-4}{\sim}0.5%$) have not been carried out yet. A non-linear dynamic analysis module is newly developed for FLAC3D to simulate strain-dependent shear modulus degradation and damping ratio amplification characteristics. The developed module is verified by analyzing the change of the Ricker wave propagation. Strain-dependent non-linear characteristics are obtained from disks of cored samples using a rock mass dynamic testing apparatus which can evaluate wave propagation characteristics in a jointed rock column. Using the experimental results and the developed non-linear dynamic module, seismic analyses are performed for the intersection of a shaft and an inclined tunnel. The numerical results show that vertical and horizontal displacements of non-linear analyses are larger than those of linear analyses. Also, non-linear analyses induce bigger bending compressive stresses acting on the lining. The bending compressive stress concentrates at the intersection part. The fundamental understanding of a strain-dependent jointed rock mass behavior is achieved in this study and the analytical procedure suggested can be effectively applied to field designs and analyses.

Stress Measurement around a Circular Role in a Cantilever Beam under Bending Moment Using Strain Gage and Reflective Photoelasticity (스트레인 게이지와 반사형 광탄성법을 이용한 굽힘을 받는 외팔보 시편 구멍 주위의 응력측정)

  • Baek, Tae-Hyun;Park, Tae-Geun;Yang, Min-Bok
    • Journal of the Korean Society for Nondestructive Testing
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    • v.26 no.5
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    • pp.329-335
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    • 2006
  • It is necessary to study on the stress concentration experimentally, which is the main reason to avoid mechanical dilapidation and failure, when designing a mechanical structure. Stress concentration factor of a specimen of cantilever beam with a circular hole in the center was measured using both strain gage and photoelastic methods in this paper. In strain-gage measurement, three strain gages along the line near a hole of the specimen were installed and maximum strain was extrapolated from three measurements. In photoelastic measurement, two methods were employed. First, the Babinet-Soleil compensation method was used to measure the maximum strain. Secondly, photoelastic 4-step phase shilling method was applied to observe the strain distribution around the hole. Measurements obtained by different experiments were comparable within the range of experimental error.

Deformation Behaviors around Tunnel in Anisotropic Rocks Considering Joint Orientation and Rock Pressure Condition Using Scaled Model Tests (이방성 암반의 방향성과 측압조건을 고려한 터널 모형실험 연구)

  • Jung, Hyung-Rae;Kim, Jong-Woo
    • Tunnel and Underground Space
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    • v.16 no.4 s.63
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    • pp.313-325
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    • 2006
  • In this study, scaled model tests were performed to investigate the deformation behaviors around tunnels located in anisotropic rocks. Fifteen types of test models which had respectively different joint angles and rock pressure conditions were made, where the modelling materials were the mixture of sand, plaster and water. All of the tested models showed the shear failure mechanism at the stress-concentrated regions and sliding phenomena according to the joint planes. The direction of joint inclination turned out to have great effect on the tunnel deformation behaviors. The models of joint inclination less than $30^{\circ}$ showed considerable floor heavings. The model of $50^{\circ}$ joint inclination showed the least tunnel convergence among the tested models regardless of rock pressure condition, so that it was thought as the most stable model. Furthermore, the failure mechanisms and deformation behaviors of tunnel models were strongly dependent on the coefficient of rock pressure.

A Study on the Stress Analysis and Parameters of Bucking in Spherical Shell (반 구형 각의 좌굴현상에 대한 응력해석 및 영향인자에 관한 연구)

  • Kim, Yeong-Su;An, Du-Seong
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.21 no.2
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    • pp.142-150
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    • 1985
  • In this paper, stress distribution were given in consideration of bending effects in hemi-spherical shell and a modified equation of buckling load was represented with implicating the effects of plastic deformations and shape parameters. Especially, the distributions of shell near it's vertex were analyzed numerically, according to several cases of loading. For the sake of more good estimation of plastic dissipating energy, we used the yield-line method from plate theory. The modified criterion of bucking, P super(*) sub(cr), that was suggested in this study, was applied to SUS 302 stain-less steel hemi-spherical shell which had it's Poisson's ratio and Young's modulus with 0.33 and 19700 kg/mm$^2$. From some experiments and comparisons with other results, 재 suggested the critical buckling-load-equation with P super(*) sub(cr)=2E super(*).(t super(2)/a super(2)).{3(1-ν super(*2)} and computed the buckling initiation load with this equation. Because these result from modified criterion have more coincidence than previous one, we prospect this equation can be magnified it's utilities to the other materials.

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Simplistic Beam Theory-based Structural Safety Evaluation Method for Block Structure on the A-Carrier (블록 구조물 적치용 지지대의 빔 이론 기반 구조 안전성 평가법)

  • Myung-Su Yi;Joo-Shin Park
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.30 no.4
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    • pp.358-364
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    • 2024
  • Type A carrier structures that support blocks or equipment gradually deform over time with load changes, reducing the area in contact with the block and changing the load pattern from distributed to concentrated during construction work in the shipyard. This phenomenon has the potential to misrepresent actual service loads. In particular, A carriers are often used by small manufacturers, who often do not have specialized engineering capabilities, necessitating the development of a method for easy calculation of carrier safe working load. This study proposes a quick evaluation method for the long-term safe working load of Type A carriers, to predict the plastic deformation and safety issues resulting from changes in load distribution. Based on the results of finite element analysis (beam and shell modeling) of the centralized load, beam-theory was modified to propose a method for determining the distributed load conditions of the A-carrier. In beam modeling, the theoretical value was multiplied by a correction factor of 0.73 for concentrated loads and 0.69 for distributed loads to obtain a safe working load. For shell modeling, a correction factor of 0.75 can be used for concentrated loads and 0.69 for distributed loads. This study can serve as a basis for improving the safety of shipbuilding, enabling quick and effective decisions for determining safe working loads in actual working environments.

Hydraulic and Morphometric Characteristics of the Channel Bends (유로 만곡부의 수리 및 계량형태학적 특성)

  • Song, Jai Woo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.12 no.3
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    • pp.173-180
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    • 1992
  • A feature typical of natural rivers is the bend. The purpose of this study is to examine hydraulic and morphometric characteristics in channel bend reach by the deterministic approach. Cross section shape factor, "As" is suggested for a new cahracteristic factor of channel bend reach analysis. The variation of this new factor along the river reach showed the location of the concentration of the force due to the current all over the reach, that is curved or not. Some general meander factors are used for correlation with new factor suggested, and the applicability of "As" is verified. The range R/W values are concentrated 2~4, the meanning of this value can be regarded to the warning for bank erosion or breaking. And this paper dealt with prediction of cross section bed shape variation.

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Fatigue Crack Initiation and Propagation From Two Micro Hole Defects (두개의 미소원공결함에서의 피로크랙발생과 전파에 관한 연구)

  • Song, Sam-Hong;Bae, Joon-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.5
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    • pp.842-849
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    • 1997
  • The aim of this study is an investigation of the interaction of two micro hole defects affecting fatigue crack initation life and propagation behavior. The locatio of two micro hole defects was considered as an angle of alignment and the distance between the centers of two micro hole defects. The fatigue cracking behavior is experimented under bending. When micro defects are located close to each other, the fatigue crack initiation lives are varied with their relative locations. In the experiments, the area of local plastic strain strongly played a role in the fatigue crack initiation lives. Therefore we introduce a parameter which contains the plastic deformation area at stress concentrations and propose a fatigue crack initiation life prediction curve. In addition, the directions and propagation rates of fatigue cracks initiated at two micro hole defects are studied experimentally.

Deformation Characteristics of Coal Ash due to Repeated Compressive Loading (석탄회(石炭灰)의 반복재하(反復載荷)에 의한 변형특성( 變形特性))

  • Chun, Byung Sik;Park, Heung Gyu
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.10 no.1
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    • pp.125-134
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    • 1990
  • In order to utilize coal ash, which we go to great expense to scrap, as subba se course material, this study attempts to examine the deformation characteristics of coal ash with the addition of some cement when repeated loads are applied. The material of coal ash is obtained from Young dong and Youngwol thermal power plant. The results are : Unconfined compression strength shows rectilineal increase in propotion to the cement addition ratio. Within the scope of repeated loads of experimental condition, modulus of elasticity tends to decrease while compression strength shows about 21% increase.

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Three-Dimensional Virtual Crack Closure Technique Based on Anisoparametric Model for Stress Intensity Factors of Patch Repaired Plates with Cracks at Notches (접착 보강된 노치 균열판의 응력확대계수 산정을 위한 비등매개변수 모델 기반의 3차원 가상균열닫힘법)

  • Ahn, Jae-Seok;Woo, Kwang-Sung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.32 no.1A
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    • pp.39-48
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    • 2012
  • This study deals with numerical determination of stress intensity factors of adhesively patch-repaired plates with cracks at V-shaped or semicircular notches. The p-convergent anisoparametric model are considered and then three-dimensional virtual crack closure technique is presented using formulations of anisoparametric elements. In assumed displacement fields of an element, strain-displacement relations and three-dimensional constitutive equations are derived with three-dimensional hierarchical shape functions expanded from one-dimensional Lobatto functions. Transfinite mapping technique is used to represent a circular boundary. The present model provides accuracy and simplicity in terms of stress concentration factor, stress distribution, the number of degrees of freedom, and non-dimensional stress intensity factor as compared with previous works in literatures. Stress intensity factors obtained by the three-dimensional virtual crack closure technique are estimated with respect to the variation of width of finite plate, radius of notch root, angular inclination of V-shaped notch, and crack length.

A Development of Seepage Analysis Model for Unsaturated Soil during Rainfall (강우시 불포화지반의 침투해석모형 개발)

  • Lee, Jung-Sik;Han, Heui-Soo;Jang, Jin-Uk
    • Proceedings of the Korea Water Resources Association Conference
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    • 2009.05a
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    • pp.796-800
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    • 2009
  • 토목구조물 및 사면의 붕괴는 집중호우가 내리는 경우 많이 발생하고 있으며, 특히 사면에서는 붕괴까지의 변형이 급속히 진행되어 이를 사전에 예방하기는 매우 어려운 현실이다. 침투 및 배수과정에서의 사면 붕괴는 강우침투로 인한 지반의 물리적 특성변화가 직접적으로 사면의 안전계수 변화에 영향을 주는 것으로 판단되며, 이때 발생하는 물리적 특성변화로는 침투시 사면 내 지반의 단위 중량은 증가하여 전단응력의 증가 및 전단강도 감소현상이 발생하며, 이와 반대로 사면 내 배수로 인하여 전단응력의 감소 및 전단강도의 증가현상이 발생한다. 따라서 본 연구에서는 강우침투로 발생하는 지반의 포화도 변화를 지반 내 투수계수의 함수로 설명하여 강우로 인한 지반의 침투 및 배수과정을 규명하고자 한다. 일반적으로 지반 내 지하수의 침투과정은 라플라스 공식을 적용한다. 그러나 라플라스 공식은 정상 상태(Steady State)일 경우에만 사용할 수 있고, 강우 등으로 인한 지하수의 수두 변화가 발생한 비정상 상태(Unsteady State)의 경우에는 부적합하므로 사면과 옹벽 등의 토질구조물에서는 안전성 변화를 계산할 수 없다. 이를 위해 사면 내 지반의 침투 및 배수과정을 투수계수의 함수로 나타내어, 강우의 침투과정을 Fourier Series, 변수분리법 및 섭동함수를 사용하여 식으로 유도함으로서 강우에 의한 지반의 침투 및 배수과정에 따른 사면 내 지하수의 분포를 예측한다. 침투과정 해석을 위하여 지표에서 포화대까지의 깊이 10m의 모델사면 및 지표부터 포화대까지의 포화도는 직선으로 비례한다는 가정을 적용한다. 먼저 푸리에 급수를 이용, 시간에 따른 온도를 열전달에 관하여 편미분하여 발생하는 열확산계수를 투수계수로 변환함에 따라 지하수의 시간과 수직방향거리에 대한 지반의 포화도를 산정한다. 변수분리법은 산정된 포화도에 지반의 초기조건과 경계조건를 고려하기 위해 적용하며, 변수분리법에 의해 산정된 지하수 분포를 섭동함수법으로 과도 및 정상상태로 분류한다. 본 연구의 수행으로 인해 얻어진 결과를 요약하면 다음과 같다. 첫째, Fourier Series와 변수분리법, 섭동함수를 이용하여 강우에 의한 지반의 포화도 변화를 수식적으로 나타낼 수 있으며 둘째, 지반에서의 강우침투과정을 식으로 표현함으로서, 깊이별 시간에 따른 포화도의 영역이 상부로부터 하부로 전이되는 과정을 알 수 있다. 셋째, 푸리에 급수를 이용한 지반의 침투계산으로 강우로 인한 지반의 포화영역 및 불포화영역을 명확히 구분할 수 있으며, 각 깊이별 포화도를 계산하여 각 구간에서 불포화구간의 전단강도에 대한 보다 정확한 계산이 가능하리라 판단된다.

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