• 제목/요약/키워드: 3-D continuum numerical analysis

검색결과 32건 처리시간 0.021초

Design of initial support required for excavation of underground cavern and shaft from numerical analysis

  • Oh, Joung;Moon, Taehyun;Canbulat, Ismet;Moon, Joon-Shik
    • Geomechanics and Engineering
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    • 제17권6호
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    • pp.573-581
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    • 2019
  • Excavation of underground cavern and shaft was proposed for the construction of a ventilation facility in an urban area. A shaft connects the street-level air plenum to an underground cavern, which extends down approximately 46 m below the street surface. At the project site, the rock mass was relatively strong and well-defined joint sets were present. A kinematic block stability analysis was first performed to estimate the required reinforcement system. Then a 3-D discontinuum numerical analysis was conducted to evaluate the capacity of the initial support and the overall stability of the required excavation, followed by a 3-D continuum numerical analysis to complement the calculated result. This paper illustrates the application of detailed numerical analyses to the design of the required initial support system for the stability of underground hard rock mining at a relatively shallow depth.

시공과정 및 현장계측을 고려한 NATM 터널의 수치해석적 연구 (A Study on the Numerical Analysis of A NATM Tunnel with Consideration of Construction Procedure and Field Measurement)

  • 박춘식;강만호
    • 터널과지하공간
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    • 제20권1호
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    • pp.28-38
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    • 2010
  • 본 연구는 NATM 터널의 천단변위, 내공변위, 숏크리트 응력, 록볼트 축력 등의 현장 계측치를 분석하고, 2D 3D 연속체 수치해석 및 2D 불연속체 불연속면 변형 해석을 실시, 그 결과를 비교 검토하여 각 구간의 시공과정에 따른 전반적인 변위와 거동의 경향성 및 수치해석적 접근의 적용성을 검토하고자 하였다. 그 결과 전단면 굴착 구간(지보패턴 P1~P3)에서 터널의 천단 및 내공변위를 예측하고자 할 시에는 2D 연속체 수치해석만으로도 가능하나, 상 하 반단면 구간(지보패턴 P4~P6)에서 터널의 천단 및 내공변위를 예측하고자 할 시에는 반드시 2D 불연속 수치해석을 수행하여야 한다. 한편, 2D 연속체 수치해석만으로도 전 구간에 대한 터널 내 숏크리트 응력 및 록볼트 축력의 예측이 가능하다. 그리고 시공 단계에 따른 거동 및 경향성을 확인하고자 할 시에는 3D 연속체 수치해석을 수행하여야 하며, 대형 대피소 등의 접속부의 경우도 반드시 3D 연속체 수치해석을 수행하여야 한다.

하향력을 받는 말뚝-지반 접촉면의 슬립 효과 (Slip Effect at the Pile-soil Interface on Dragload)

  • Jeong, Sang-Seom;Lee, Cheol-Ju
    • 한국지반공학회논문집
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    • 제19권3호
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    • pp.65-74
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    • 2003
  • 본 연구에서는 말뚝이 근입된 연약지반의 탄소성 해석을 수행하여 말뚝에 작용하는 하향력을 산정하였다. 이때 단독말뚝과 군말뚝(3$\times$3, 5$\times$5)을 대상으로 각각 2차원과 3차원 유한요소해석을, 말뚝주면에서 slip의 유무에 따라 수행하여 그 영향정도를 파악하였다. 하향력의 발생정도는 말뚝주면에서의 마찰계수, 지표면과 말뚝두부에 작용하는 상재하중에 큰 영향을 받는다. 이와 같은 영향인자를 토대로 수치해석 결과, 하향력은 no-slip의 경우가 slip의 경우에 비해서 상당히 과대하게 산정되었으며, 또한 말뚝두부에 하중이 증가함에 따라 하향력은 감소하는 것을 알 수 있었다. 한편 그룹효과가 있는 군말뚝의 하향력은 단독말뚝의 하향력에 비해서 크게 감소 하는 것으로 나타났으며, 수치 및 사례분석을 통해 slip 해석의 적절함을 확인하였다.

A non-dimensional theoretical approach to model high-velocity impact on thick woven plates

  • Alonso, L.;Garcia-Gonzalez, D.;Navarro, C.;Garcia-Castillo, S.K.
    • Steel and Composite Structures
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    • 제38권6호
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    • pp.717-737
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    • 2021
  • A theoretical energy-based model to capture the mechanical response of thick woven composite laminates, which are used in such applications as maritime or aerospace, to high-velocity impact was developed. The dependences of the impact phenomenon on material and geometrical parameters were analysed making use of the Vaschy-Buckingham Theorem to provide a non-dimensional framework. The model was divided in three different stages splitting the physical interpretation of the perforation process: a first where different dissipative mechanisms such as compression or shear plugging were considered, a second where a transference of linear momentum was assumed and a third where only friction took place. The model was validated against experimental data along with a 3D finite element model. The numerical simulations were used to validate some of the new hypotheses assumed in the theoretical model to provide a more accurate explanation of the phenomena taking place during a high-velocity impact.

Large deflection analysis of laminated composite plates using layerwise displacement model

  • Cetkovic, M.;Vuksanovic, Dj.
    • Structural Engineering and Mechanics
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    • 제40권2호
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    • pp.257-277
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    • 2011
  • In this paper the geometrically nonlinear continuum plate finite element model, hitherto not reported in the literature, is developed using the total Lagrange formulation. With the layerwise displacement field of Reddy, nonlinear Green-Lagrange small strain large displacements relations (in the von Karman sense) and linear elastic orthotropic material properties for each lamina, the 3D elasticity equations are reduced to 2D problem and the nonlinear equilibrium integral form is obtained. By performing the linearization on nonlinear integral form and then the discretization on linearized integral form, tangent stiffness matrix is obtained with less manipulation and in more consistent form, compared to the one obtained using laminated element approach. Symmetric tangent stiffness matrixes, together with internal force vector are then utilized in Newton Raphson's method for the numerical solution of nonlinear incremental finite element equilibrium equations. Despite of its complex layer dependent numerical nature, the present model has no shear locking problems, compared to ESL (Equivalent Single Layer) models, or aspect ratio problems, as the 3D finite element may have when analyzing thin plate behavior. The originally coded MATLAB computer program for the finite element solution is used to verify the accuracy of the numerical model, by calculating nonlinear response of plates with different mechanical properties, which are isotropic, orthotropic and anisotropic (cross ply and angle ply), different plate thickness, different boundary conditions and different load direction (unloading/loading). The obtained results are compared with available results from the literature and the linear solutions from the author's previous papers.

연속체 손상역학을 이용한 수치 피로시험 기법 (Numerical Fatigue Test Method Based on Continuum Damage Mechanics)

  • 이치승;김영환;김태우;이제명
    • Journal of Welding and Joining
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    • 제25권1호
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    • pp.63-69
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    • 2007
  • Once assessment of material failure characteristics is captured precisely in a unified way, it can bedirectly incorporated into the structural failure assessment under various loading environments, based on the theoretical backgrounds so called Local Approach to Fracture. The aim of this study is to develop a numerical fatigue test method by continuum damage mechanics applicable for the assessment of structural integrity throughout crack initiation and structural failure based on the Local Approach to Fracture. The generalized elasto-visco-plastic constitutive equation, which can consider the internal damage evolution behavior, is developed and employed in the 3-D FEA code in order to numerically evaluate the material and/or structural responses. Explicit information of the relationships between the mechanical properties and material constants, which are required for the mechanical constitutive and damage evolution equations for each material, are implemented in numerical fatigue test method. The material constants selected from constitutive equations are used directly in the failure assessment of material and/or structures. The performance of the developed system has been evaluated with assessing the S-N diagram of stainless steel materials.

Nonlinear torsional analysis of 3D composite beams using the extended St. Venant solution

  • Yoon, Kyungho;Kim, Do-Nyun;Lee, Phill-Seung
    • Structural Engineering and Mechanics
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    • 제62권1호
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    • pp.33-42
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    • 2017
  • We present in this paper a finite element formulation for nonlinear torsional analysis of 3D beams with arbitrary composite cross-sections. Since the proposed formulation employs a continuum mechanics based beam element with kinematics enriched by the extended St. Venant solutions, it can precisely account higher order warping effect and its 3D couplings. We propose a numerical procedure to calculate the extended St. Venant equation and the twisting center of an arbitrary composite cross-section simultaneously. The accuracy and efficiency of the proposed formulation are thoroughly investigated through representative numerical examples.

Failure analysis of laminates by implementation of continuum damage mechanics in layer-wise finite element theory

  • Mohammadi, B.;Hosseini-Toudeshky, H.;Sadr-Lahidjani, M.H.
    • Structural Engineering and Mechanics
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    • 제33권6호
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    • pp.657-674
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    • 2009
  • In this paper a 3-D continuum damage mechanics formulation for composite laminates and its implementation into a finite element model that is based on the layer-wise laminate plate theory are described. In the damage formulation, each composite ply is treated as a homogeneous orthotropic material exhibiting orthotropic damage in the form of distributed microscopic cracks that are normal to the three principal material directions. The progressive damage of different angle ply composite laminates under quasi-static loading that exhibit the free edge effects are investigated. The effects of various numerical modeling parameters on the progressive damage response are investigated. It will be shown that the dominant damage mechanism in the lay-ups of [+30/-30]s and [+45/-45]s is matrix cracking. However, the lay-up of [+15/-15] may be delaminated in the vicinity of the edges and at $+{\theta}/-{\theta}$ layers interfaces.

A Configuration Design Sensitivity Analysis for Kinematically driven Mechanical Systems

  • Kim, D.W.;Yang, S.M.;Kim, H.W.;Bae, D.S.
    • 한국생산제조학회지
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    • 제7권3호
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    • pp.110-117
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    • 1998
  • A continuum-based configuration design sensitivity analysis method is developed for kinematically driven mechanical systems. The configuration design variable for mechanical systems is defined. The 3-1-3 Euler angle is employed as the orientation design variable. Kinematic admissibility conditions of configuration design change. Direct differentiation method is used to derive the governing equations of the design sensitivity. Numerical examples are presented to demonstrate the validity and effectiveness of the proposed method.

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힘 근사화 기법에 의한 3차원 연속체 구조물의 형상최적화 (Shape Optimization of Three-Dimensional Continuum Structures by Force Approximation Techniques)

  • 한상훈;이웅종
    • 대한토목학회논문집
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    • 제13권1호
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    • pp.39-46
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    • 1993
  • 양질의 근사화 방법을 이용하여 형상최적설계의 효율성을 증진시킬 수 있는 방법들을 개발하기 위한 필요성이 제기되어 왔다. 본 연구에서는 3차원 구조물의 형상적설계를 수행하기 위해 형상변수에 대한 절점력들의 Taylor급수 전개에 근거를 둔 효율적인 근사화 방법을 제안하였다. 수치예로서 캔틸레버보와 양단고정보를 취하여 제안된 방법에 의해 최적형상을 구하였다. 제안된 방법에 의해 얻어진 결과를 기 발표된 다른 방법들의 결과와 비교하여 효율성 및 수렴성에 관해 비교하였다. 그 결과 최적화를 위한 총 구조해석의 수가 크게 줄어들었고, 단면최적화만의 경우와 거의 같은 정도의 효율성을 갖게 됨을 알 수 있었다. 또한 최적형상을 얻기위해 적용된 다항식에 의한 경계표현기법은 최적형상을 얻기위한 유용한 방법임을 알 수 있었다.

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