• Title/Summary/Keyword: Continuum numerical analysis

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A Numerical Study on Thermo-hydro-mechanical Coupling in Continuum Rock Mass Based on the Biot′s Consolidation Theory (Biot의 압밀 이론에 근거한 연속체 암반의 열-수리-역학 상호작용의 수치적 연구)

  • 이희석;양주호
    • Proceedings of the Korean Society for Rock Mechanics Conference
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    • 2000.09a
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    • pp.105-115
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    • 2000
  • As large underground projects such as radioactive waste disposal, hot water and heat storage, and geothermal energy become influential, the study, which consider all aspects of thermics, hydraulics and mechanics would be needed. Thermo Hydro-Mechanical coupling analysis is one of the most complex numerical technique because it should be implemented with the combined three governing equations to analyze the behavior of rock mass. In this study, finite element code, which is based on Biot's consolidation theory, was developed to analyze the thermo-hydro-mechanical coupling in continuum rock mass. To verify the implemented program, one-dimensional consolidation model under the isothermal and non-isothermal conditions was analyzed and was compared with the analytic solution. The parametric study on two-dimensional consolidation was also performed and the effects of several factors such as poisson's ratio and hydraulic anisotropy on rock mass behavior were investigated. In the future, this program would be revised to be used for analysis of general discontinuous media with incorporating discrete joint model.

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A Numerical Study on Thermo-hydro-mechanical Coupling in Continuum Rock Mass Based on the Biot's Consolidation Theory (Biot의 압밀 이론에 근거한 연속체 암반의 열-수리-역학 상호작용의 수치적 연구)

  • 이희석;양주호
    • Tunnel and Underground Space
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    • v.10 no.3
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    • pp.355-365
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    • 2000
  • As large underground projects such as radioactive waste disposal, hot water and heat storage, and geothermal energy become influential, the study, which consider all aspects of thermics, hydraulics and mechanics would be needed. Thermo-Hydro-Mechanical coupling analysis is one of the most complex numerical technique because it should be implemented with the combined three governing equations to analyze the behavior of rock mass. In this study, finite element code, which is based on Biot's consolidation theory, was developed to analyze the thermo-hydro-mechanical coupling in continuum rock mass. To verify the implemented program, one-dimensional consolidation model under the isothermal and non-isothermal conditions was analyzed and was compared with the analytic solution. The parametric study on two-dimensional consolidation was also performed and the effects of several factors such as poisson's ratio and hydraulic anisotropy on rock mass behavior were investigated. In the future, this program would be revised to be used for analysis of general discontinuous media with incorporating discrete joint model.

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Numerical Analysis of Fusible Filler Behavior for Self-Interconnection Process (자기 접속 프로세스에 대한 볼륨 입자 거동에 대한 수치해석 연구)

  • Gwon, Hyeok-Rok;Lee, Jeong-Hui;Kim, Jong-Min;Lee, Seong-Hyeok
    • Proceedings of the KWS Conference
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    • 2006.10a
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    • pp.178-180
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    • 2006
  • The present article aims to develop a numerical method for numerical analysis of fusible filler behavior for self-interconnection process. The CIP(Cubic Interpolated Propagation) method is used for determination of interfaces and the CSF(Continuum Surface Force) model is adopted for evaluation of curvature. To validate these models, first, the present study performs the numerical simulation for a droplet formation and it simulates the interactions among fusible fillers inside resin under the operating condition. As a result, similar tendency is found compared to the experimental observation. This study would be a first step towards finding the optimum condition for self-interconnection process.

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A Study on the Stability Evaluation and Numerical Simulation of Toppling Failure on a Cut-Slope (절토사면의 전도파괴에 대한 안정성 평가 및 수치해석적 고찰)

  • Choi, Ji-Yong;Kim, Seung-Hyun;Koo, Ho-Bon
    • The Journal of Engineering Geology
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    • v.20 no.1
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    • pp.13-23
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    • 2010
  • Toppling failure of a slope is defined as failure behavior accompanying the rotation of rock block which is different from other failure such as sliding along with discontinuities and so on. It generally occurs in the region that discontinuities were developed with inverse dip direction to a slope and it could play a critical role in judging stability of slope. In this study, the stability evaluation was performed about toppling failure on a jointed road cut-slope. To check the deformation behavior, numerical analysis is widely used. However common analysis programs are based on continuum model. Recently, many methods that discontinuity properties can be considered in continuum analysis are suggested. In this study, numerical analysis based on FEM(Finite Element Method) was performed using interface element applied in heterogeneous boundary to simulate effects of discontinuities.

A Study on Continous and Discontinous Analysis of Tunnels in Jointed Rock Mass (절리 암반터널의 불연속체해석과 연속체해석에 관한 고찰)

  • Lee Joung-Sun;Kim Si-Kyeok;Kim Do-Hoon;Jung Jae-Dong
    • Journal of the Korean Society for Railway
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    • v.8 no.1
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    • pp.82-86
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    • 2005
  • Numerical methods to estimate behaviors of jointed rock mass can be roughly divided into two methods : continuous and discontinuous model. Generally, distinct element method(DEM) is applied in discontinuous model, and finite element method(FDM) or finite difference method(FDM) is utilized in continuum model. To predict a behavior of discontinuous model by DEM, it is essential to understand characteristics of joints developed in rock mass through field tests. However, results of field tests can not provide full information about rock mass because field tests are conducted in limited area. In this paper, discontinuous analysis by UDEC and continuous analysis by FLAC are utilized to estimate a behavior of a tunnel in jointed rock mass. For including discontinuous analysis in continuous analysis, joints in rock mass is considered by reducing rock mass properties obtained by RMR and decreasing shear strength of rock mass. By comparing and revising two analysis results, analysis results similar with practical behavior of a tunnel can be induced and appropriate support system is decided.

A Study on the Validity of 2-Dimensional Analysis of Rock Bolt (록볼트의 2차원 수치해석에 대한 타당성 검토)

  • Seok Jeong Hyeon;Kim Bo Byun;Sik Yang Hyung
    • Tunnel and Underground Space
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    • v.14 no.6 s.53
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    • pp.423-428
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    • 2004
  • The stability of tunnels is usually analyzed as plain strain condition and rock bolts are assumed as 2 dimensional equivalent continuum structures. In this study, 2 and 3 dimensional numerical analyses were conducted to verify the validity of 2 dimensional analysis of rock bolts. Since the results of 2 dimensional analysis showed more than $10\%$ differences in poor rocks, it seems that 3 dimensional analysis is required in poor rocks.

Orthotropic Beam Analogy for Analysis of Shear Stresses in Framed-Tube Structures (구형등가보 원리에 의한 튜브 구조물의 전단응력 해석)

  • 이강건;이리형
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.10a
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    • pp.393-400
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    • 2001
  • A simple numerical modelling technique is proposed for estimating the shear stress distribution in beams of framed tube structures with multiple internal tubes. The structures are analysed using a continuum approach in which each tube is individually modelled by a tube beam that accounts for the flexural and shear deformations, as well as the shear lag effects. The method idealises the discrete tubes-in-tube structures as an assemblage of equivalent multiple beams, each composed of orthotropic plate panels. The numerical analysis of shear stress is based on the elastic theory in conjunction with the minimum potential energy principle. By simplifying assumptions regarding the form of strain distributions in external and internal tubes, the shear stress distributions are expressed in terms of a series of linear functions of the second moments of area of the structures and the corresponding geometric and material properties, as well as the applied loads. The simplicity and accuracy of the proposed method are demonstrated through the solutions of three numerical examples.

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Differential quadrature method for free vibration analysis of coupled shear walls

  • Bozdogan, K.B.
    • Structural Engineering and Mechanics
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    • v.41 no.1
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    • pp.67-81
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    • 2012
  • Differential Quadrature Method (DQM) is a powerful method which can be used to solve numerical problems in the analysis of structural and dynamical systems. In this study the governing equation which represents the free vibration of coupled shear walls is solved using the DQM method. A one-dimensional model has been used in this study. At the end of study various examples are presented to verify the accuracy of the method.

Nonlinear static analysis of functionally graded porous beams under thermal effect

  • Akbas, Seref D.
    • Coupled systems mechanics
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    • v.6 no.4
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    • pp.399-415
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    • 2017
  • This paper deals with the nonlinear static deflections of functionally graded (FG) porous under thermal effect. Material properties vary in both position-dependent and temperature-dependent. The considered nonlinear problem is solved by using Total Lagrangian finite element method within two-dimensional (2-D) continuum model in the Newton-Raphson iteration method. In numerical examples, the effects of material distribution, porosity parameters, temperature rising on the nonlinear large deflections of FG beams are presented and discussed with porosity effects. Also, the effects of the different porosity models on the FG beams are investigated in temperature rising.

A Numerical Analysis of Dynamic Behavior of Rock Mass with Intense Discontinuities (절리의 방향성을 고려한 암반의 동적거동 수치해석)

  • Ha, Tae-Wook;Yang, Hyung-Sik
    • Tunnel and Underground Space
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    • v.16 no.5 s.64
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    • pp.394-404
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    • 2006
  • Dynamic behavior of rock structures depends largely on the dynamic characteristics of ground and input earthquake wave. For blocky rocks with intense discontinuities, the mechanical characteristics of blocks and structural and mechanical characteristics of discontinuities affect overall behavior. In this study, UDEC was adopted to evaluate the dynamic behavior of rocks with various structural characteristics. Obtained results were compared to those of $FLAC^{2D}$, a continuum analysis, and the validity of the method was examined for dynamic analysis of discontinuous rocks for earthquake. Analysis considering the discontinuity showed significant changes in structural shape by the influence of joint behavior, and the behavior by continuum analysis was overestimated.