• Title/Summary/Keyword: Coulomb 응력

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Applications of Interface Elements to Contact Problems in Reinforced Concrete Structures (경계면 요소를 이용한 철근콘크리트 접촉면의 응력해석)

  • 최완철;정일영
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1992.10a
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    • pp.90-96
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    • 1992
  • 경계면 요소를 이용하여 철근콘크리트 구조물의 접촉면 문제를 유한 요소법으로 해석하는 기법에 대하여 연구한다. 본 연구에서는 경계면 요소의 수치해석의 이론과정을 전개하고, 실험 관찰된 부착 시험체에 적용하여 이형철근과 콘크리트 부착기구의 접촉면을 해석한다. 경계면은 특별한 연결요소를 이용하여 재현하며 Mohr-Coulomb의 마찰 이론을 응응한다. 해석의 주요점으로 하중상태에 따라 변화되는 경계면의 접촉상태, 즉 고정(stick), 미끄러짐(slide), 분리(separation)를 묘사하여 경계면 재료의 비선형 거동을 관찰한다. 부착모델의 해석결과는 실험실의 결과와 대체로 일치되며 따라서 철근콘크리트 접촉면의 응력해석을 위해 경계면 요소가 활용될 수 있음을 보여준다.

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Passive Earth Pressure Transition Behind Retaining Walls (옹벽의 변위에 따른 정지토압에서 수동토압까지의 변화)

  • 김홍택
    • Geotechnical Engineering
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    • v.3 no.2
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    • pp.55-70
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    • 1987
  • An analytical solution procedure is described to estimate the developed passive lateral earth Pressures behind a vertical rigid retaintng wall rotating about its toe into a mass of cohesionless soil. Various stases of wall rotation, starting from an at-rest state to an initial Passive state to a full Passive state, are considered in the analysis. Condition of failure defined by a modified Mohr-coulomb criterion, together with equilibrium conditions, is used to obtain the necessary equations for the solution. Using methods of stress characteristics and numerical finite difference, a complete solution within and on the boundaries of the entire solution domain is made possible. The variations of the soil shear strength and the wall friction at various depths and stages of wall rotation are also taken into account in the analysis. The results predicted by the developed method of analysis are compared with those obtained from the experimental model tests on loose and dense sand. The comparisons show good agreements at various stages of retaining wall rotation Fin- ally, results of analytical parametric study are presented to demonstrate the effects of wall fric- tion on the resultant thrust and distribution of developed lateral earth pressures.

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Stress Analysis of Arctic Thaw Settlement with Gas Pipeline using Finite Element Method (유한요소해석을 활용한 극한지 융해침하에 따른 천연가스배관의 응력해석)

  • Kim, Kyung Il;Yeom, Kyu Jung;Kim, Young-Pyo;Kim, Woo Sik;Oh, Kyu Hwan
    • Journal of the Korean Institute of Gas
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    • v.18 no.5
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    • pp.78-84
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    • 2014
  • It is important to secure the supply of gas in arctic region which is not developed recently due to depleting of fossil fuel. It is competing in order to secure the arctic region. The need for the occurring the pipeline design in arctic region is essential for development. In this study, we develop the model of thaw settlements for analysis the stress and displacement which applied with pipe in arctic region between $-40^{\circ}C$ to $20^{\circ}C$. The soil was applied with Mohr-coulomb theory and pipe was elasto-plastic method.

Determination of Steel-concrete Interface Parameters: Me chanical Properties of Interface Parameters (강-콘크리트 계면의 계면상수 결정 : 계면상수의 역학적 성질)

  • Lee, Ta;Joo, Young-Tae;Lee, Yong-Hak
    • Journal of the Korea Concrete Institute
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    • v.21 no.6
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    • pp.781-788
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    • 2009
  • Mechanical properties of steel-concrete interface were evaluated on the basis of experimental observations. The properties included bond strength, unbounded and bonded friction angles, residual level of friction angle, mode I fracture energy, mode II bonded fracture energy and unbonded slip-friction energy under different levels of normal stress, and shape parameters to define geometrical shape of failure envelope. For this purpose, a typical type of constitutive model of describing steel-concrete interface behavior was presented based on a hyperbolic three-parameter Mohr-Coulomb type failure criterion. The constitutive model depicts the strong dependency of interface behavior on bonding condition of interface, bonded or unbounded. Values of the interface parameters were determined through interpretation of experimental results, geometry of failure envelope and sensitivity analysis. Nonlinear finite element analysis that incorporates steel-concrete interface as well as material nonlinearities of concrete and steel were performed to predict the experimental results.

Analysis of Steep Cuts and Slopes in Cemented Sand Using Fracture Mechanics (파괴역학을 이용한 경화모래로 이루어진 사면의 해석)

  • Kim, Tae-Hoon;Kang, Kwon-Soo;Lee, Jong-Cheon
    • Journal of the Korean Geotechnical Society
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    • v.19 no.6
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    • pp.161-168
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    • 2003
  • Most natural deposits of sandy soil possess some degree of cementation resulting from the deposition and precipitation of cementing agents. The presence of cementation can have a significant influence on the stiffness and volume change behavior, and the strength of soils. An important feature of deposits of cemented sandy soils is their ability to remain stable in surprisingly high and almost vertical man-made cuts as well as natural slopes. Numerous field observations and studies of failures in slopes of cemented soils have reported that application of conventional analysis techniques of slope stability is inadequate. That is not only due to the fact that the failure surface of the slope is not circular, but also the fact that the average shear stress along the failure surface is much smaller than the shear strength measured in laboratory shear experiments. This observation alerts us to the fact that a mechanism different from conventional Mohr-Coulomb shear failure takes place, which may be related to fracture processes, which in turn are governed by fracture mechanics concepts and theory. In this study, steep slopes in cemented sand were assessed using fracture mechanics concepts. The results showed that FEM coupled with fracture mechanics concepts provides an excellent alternative in the design and safety assessment of earth structures in cemented soils.

Ductile Fracture of a Marine Structural Steel based on HC-DSSE Combined Fracture Strain Formulation (HC-DSSE 조합 파단 변형률 정식화에 기반한 선박해양 구조물용 강재의 연성 파단 예측)

  • Park, Sung-Ju;Lee, Kangsu;Cerik, Burak Can;Kim, Younghyn;Choung, Joonmo
    • Journal of the Society of Naval Architects of Korea
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    • v.56 no.1
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    • pp.82-93
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    • 2019
  • In this paper, the ductile fracture criteria for a marine structural steel (EH36) are presented and validated. The theoretical background of the recently developed Hosford-Coulomb (HC) fracture strain model and the DSSE fracture strain model which was developed to apply to the shell elements is described. In order to accurately estimate the flow stress in the large strain range up to the fracture, the material constants for the combined Swift-Voce constitutive equation were derived by the numerical analyses of the smooth and notched specimens made from the EH36 steel. As a result of applying the Swift-Voce flow stress to the other notched specimen model, a very accurate load - displacement curve could be derived. The material constants of the HC fracture strain and DSSE fracture strain models were independently calibrated based on the numerical analyses for the smooth and notch specimen tests. The user subroutine (VUMAT of Abaqus) was developed to verify the accuracy of the combined HC-DSSE fracture strain model. An asymmetric notch specimen was used as verification model. It was confirmed that the fracture of the asymmetric specimen can be accurately predicted when a very small solid elements are used together with the HC fracture strain model. On the other hand, the combined HC-DSSE fracture strain model can predict accurately the fracture of shell element model while the shell element size effect becomes less sensitive.

A Feasibility Study of Earthquake Monitoring Using a High-resolution Borehole Strainmeter (고분해능 시추공 변형률계 활용을 통한 지진 연구 가능성)

  • Soh, Inho;Chang, Chandong
    • The Journal of Engineering Geology
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    • v.26 no.2
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    • pp.177-185
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    • 2016
  • This work investigates whether stress changes induced by an earthquake can be estimated using the deformation measured by high-resolution borehole strainmeters. We estimate the changes in the orientation and magnitude of the principal compression stresses using borehole strainmeter data recorded before and after the M7.2 El Mayor-Cucapah earthquake on April 4, 2010. Clear differences in the stress orientations and magnitudes are apparent before and after the event. The change in stress orientation appears related to subtle increases of stress in the tectonic maximum principal orientation, which is in agreement with the earthquake focal mechanism solution. The sudden stress drop at the onset of the earthquake was 10−3-10−2 MPa in the principal orientations. The Coulomb stress transfer model, which can estimate stress transfer, predicts a shear stress increase of (0.1-0.6) × 10−2 MPa at the strainmeter site, which is in line with the measured data (0.3-0.8) × 10−2 MPa. Overall, our results suggest that borehole strainmeter data reflect the subtle stress changes associated with earthquake occurrence, and that such data can be utilized for earthquake-related research.

A Study on Dynamic Analyses of Cut and Cover Tunnel during Earthquakes (개착터널에 대한 지진 시 동적수치해석에 관한 연구)

  • Park, Sung-Sik;Moon, Hong-Duk;Park, Si-Hyun
    • The Journal of Engineering Geology
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    • v.25 no.2
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    • pp.237-250
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    • 2015
  • Underground structures such as a tunnel have been considered as safer than structures on the ground during earthquake. However, severe damages of underground structures occurred at subway tunnel during 1995 Kobe Earthquake and such damages are gradually increased. In this study, a dynamic behavior of a cut and cover tunnel surrounded by weathered soils is investigated using Mohr-Coulomb Model. Parametric study was carried out for boundary conditions, tensile strength, and earthquake magnitudes. The results of numerical analyses in terms of ground deformations and stresses acting on the lining were quite dependent on the side boundary condition (free or fix conditions) and tensile strength of surrounding soils. The ground was deformed upward at the end of earthquake when the side boundary condition was fixed, whereas residual deformations were not predicted when it was free. When the tensile strength of a soil was set to the same as its cohesion, residual deformation was less than 1cm, regardless of side boundary conditions or input accelerations. In addition to that, stress conditions at the maximum deformation and end of earthquake were within an allowable range and considered as safe. Proper boundary conditions and material properties such as tensile strength are quite important because they may significantly impact on the results of dynamic analyses.

Voronoi Grain-Based Distinct Element Modeling of Thermally Induced Fracture Slip: DECOVALEX-2023 Task G (Benchmark Simulation) (Voronoi 입자기반 개별요소모델을 이용한 암석 균열의 열에 의한 미끄러짐 해석: 국제공동연구 DECOVALEX-2023 Task G(Benchmark simulation))

  • park, Jung-Wook;Park, Chan-Hee;Lee, Changsoo
    • Tunnel and Underground Space
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    • v.31 no.6
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    • pp.593-609
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    • 2021
  • We proposed a numerical method for the thermo-mechanical behavior of rock fracture using a grain-based distinct element model (GBDEM) and simulated thermally induced fracture slip. The present study is the benchmark simulation performed as part of DECOVALEX-2023 Task G, which aims to develop a numerical method to estimate the coupled thermo-hydro-mechanical processes within the crystalline rock fracture network. We represented the rock sample as an assembly of Voronoi grains and calculated the interaction of the grains (blocks) and their interfaces (contacts) using a distinct element code, 3DEC. Based on an equivalent continuum approach, the micro-parameters of grains and contacts were determined to reproduce rock as an elastic material. Then, the behavior of the fracture embedded in the rock was characterized by the contacts with Coulomb shear strength and tensile strength. In the benchmark simulation, we quantitatively examined the effects of the boundary stress and thermal stress due to heat conduction on fracture behavior, focusing on the mechanism of thermally induced fracture slip. The simulation results showed that the developed numerical model reasonably reproduced the thermal expansion and thermal stress increment, the fracture stress and displacement and the effect of boundary condition. We expect the numerical model to be enhanced by continuing collaboration and interaction with other research teams of DECOVALEX-2023 Task G and validated in further study experiments.

Failure Function of Transversely Isotropic Rock Based on Cassini Oval (Cassini 난형곡선을 활용한 횡등방성 암석 파괴함수)

  • Lee, Youn-Kyou
    • Tunnel and Underground Space
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    • v.27 no.4
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    • pp.243-252
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    • 2017
  • Since the failure behavior of transversely isotropic rocks is significantly different from that of isotropic rocks, it is necessary to develop a transversely isotropic rock failure function in order to evaluate the stability of rock structures constructed in transversely isotropic rock masses. In this study, a spatial distribution function for strength parameters of transversely isotropic rocks is proposed, which is based on the Cassini oval curve proposed by 17th century astronomer Giovanni Domenico Cassini to model the orbit of the Sun around the Earth. The proposed distribution function consists of two model parameters which could be identified through triaxial compression tests on transversely isotropic rock samples. The original Mohr-Coulomb (M-C) failure function is extended to a three-dimensional transversely isotropic M-C failure function by employing the proposed strength parameter distribution function for the spatial distributions of the friction angle and cohesion. In order to verify the suitability of the transversely isotropic M-C failure function, both the conventional triaxial compression and true triaxial compression tests of transversely isotropic rock samples are simulated. The predicted results from the numerical experiments are consistent with the failure behavior of transversely isotropic rocks observed in the actual laboratory tests. In addition, the simulated result of true triaxial compression tests hints that the dependence of rock strength on intermediate principal stress may be closely related to the distribution of the microstructures included in the rock samples.