• Title/Summary/Keyword: finite-element

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Modeling of Progressive Failure in Concrete using Discontinuous Finite Elements (불연속 요소를 사용한 콘크리트 파괴진행의 유한요소 모델링)

  • Shim, Byul;Song, Ha-Won;Byun, Keun-Joo
    • Proceedings of the Korea Concrete Institute Conference
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    • 1996.04a
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    • pp.247-252
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    • 1996
  • In the concrete structures, cracks occur in various causes and the cracks seriously affect the functions of structures. The analysis techniques of progressive crack in the concrete have been improved with the advance of numerical techniques. The discrete crack model used in finite element program for the analysis of progressive failure is very effective, but it can not be easily implemented into numerical procedures because of difficult handing of nodal points in finite element meshes for crack growth. This paper introduces one of the techniques which skips the difficulty. In this paper, the modeling of progressive failure using finite element formulation is explained for the analysis of concrete fracture. The discontinuous element using the discontinuous shape function and the dual mapping technique in the numerical integration are implemented into finite element code for this purpose. It is shown that developed finite element program can predict the quasi-brittle behavior of concrete including ultimate load. The comparisons of the analysis results with other data are also shown.

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Finite Element Analysis for Elastic Modulus of the Periodontal Ligament in Premolar Regions (소구치 치주인대의 탄성계수에 대한 유한요소 해석)

  • Chon Chang Soo;Shim June Sung;Kim Young Ho;Kim Han Sung
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.10 s.175
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    • pp.202-209
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    • 2005
  • In this study, two dimensional and three dimensional finite element models of lower first premolar were analyzed. The mandibular specimen including a premolar was obtained from a cadaver and scanned with micro-CT. Finite element method models were reconstructed from CT images at mid-sagittal plane of the tooth. Most studies have used a wide range of value(0.07${\~}$1000MPa) for elastic modulus of periodontal ligament. The elastic modulus of the periodontal ligament was analyzed by finite element method and compared with that of experiment model. This study indicated that the model without pulp was more suitable than that with pulp in two dimensional finite element analysis.

Finite Element Analysis for Cracks in Rubber Bonded to a Rigid Material (강체와 접합된 고무의 균열에 대한 유한요소해석)

  • 김창식;임세영
    • Computational Structural Engineering
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    • v.7 no.2
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    • pp.111-120
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    • 1994
  • Cracks in rubber bonded to a rigid material such as steel are analyzed with the aid of a mixed finite element technique. Firstly the weak form is derived for finite element analysis of an incompressible material, and the Mooney-Rivlin form is assumed for the constitutive modeling of rubber. The numerical results from finite element analysis is examined to confirm the accuracy and convergence of solution by way of comparison to other numerical results. The interpretation of the J-integral for large elastic deformation as the energy release rate is confirmed, and the J-integral is calculated for varing crack length. The crack growth stability is discussed using the result of finite element analysis.

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A Three-Dimensional Rigid-Viscoplastic Finite Element Analysis of isothermal Square Die Extrusion of a Square Section Based on ALE Description (강-점소성 ALE 유한요소 수식화에 근거한 사각형 형재의 평금형 등온 압출에 대한 3차원 해석)

  • 강연식;양동열
    • Transactions of Materials Processing
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    • v.5 no.1
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    • pp.55-60
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    • 1996
  • In the finite element analysis of metal forming processes the updated Lagrangian approach has been widely and effectively used to simulate the non-steady state problems. however some difficulties have arisen from abrupt flow change as in extrusion through square dies. In the present work an ALE(arbitrary Lagrangian-Euleria) finite element formulation for deforma-tion analysis are presented fro rigid-viscoplastic materials. The developed finite element program is applied to the isothermal analysis of square die extrusion of a square section. The computational results are compared with those by the updated Lagrangian finite element analysis.

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Analysis of Arbitrary Three Dimensional Cracks in the Finite Body Using the Symmetric Galerkin Boundary Element Method (대칭 Galerkin 경계요소법을 이용한 유한체 내에 존재하는 임의의 삼차원 균열의 해석)

  • Park, Jai-Hak;Kim, Tae-Soon
    • Journal of the Korean Society of Safety
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    • v.19 no.1
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    • pp.38-43
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    • 2004
  • Many analysis methods, including finite element method, have been suggested and used for assessing the integrity of cracked structures. In the paper, in order to analyze arbitrary three dimensional cracks, the finite element alternating method is extended. The crack is modeled by the symmetric Galerkin boundary element method as a distribution of displacement discontinuities, which is formulated as singularity-reduced integral equations. And the finite element method is used to calculate the stress values for the uncracked body only. Applied the proposed method to several example problems for planner cracks in finite bodies, the accuracy and efficiency of the method were demonstrated.

Three-Dimensional Finite Element Modeling of Laser Cladding Process (레이저 클래딩 공정의 3차원 유한요소 모델링)

  • Zhao Guiping;Si Ho-Mun;Lee Heungshik;Cho Chongdu
    • Journal of the Korean institute of surface engineering
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    • v.37 no.5
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    • pp.279-288
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    • 2004
  • This paper describes a three-dimensional transient finite element model for a laser cladding process. In the model, an adaptive finite element technique is used for dilution control. Using the proposed finite element model, the effects of process parameters such as scanning speed, laser's power, and preheating on the dilution of clad layer, the shape of melting pool, and the temperature distribution are calculated. It is also shown that the optimal process parameters for the required dilution can be determined from the proposed finite element model. An experiment is performed to validate the proposed model. The numerical results are compared with experimental ones.

Finite Element Analyses of Seismically Vulnerable Reinforced Concrete Building Frame Retrofitted Using FRP Column Jacketing System (FRP 기둥 재킷 시스템이 보강된 지진 취약 철근콘크리트 건축물의 유한요소해석)

  • Shin, Jiuk;Lee, Sang-Youl;Ji, Dong-Hyun
    • Journal of Korean Association for Spatial Structures
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    • v.21 no.2
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    • pp.57-66
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    • 2021
  • This study develops finite element models for seismically-deficient reinforced concrete building frame retrofitted using fiber-reinforced polymer jacketing system and validates the finite element models with full-scale dynamic test for as-built and retrofitted conditions. The bond-slip effects measured from a past experimental study were modeled using one-dimensional slide line model, and the bond-slip models were implemented to the finite element models. The finite element model can predict story displacement and inter-story drift ratio with slight simulation variation compared to the measured responses from the full-scale dynamic tests.

Finite element analysis for longitudinal vibration of nanorods based on doublet mechanics

  • Ufuk Gul;Metin Aydogdu
    • Advances in nano research
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    • v.15 no.5
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    • pp.411-422
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    • 2023
  • In the present study, the axial vibration of the nanorods is investigated in the framework of the doublet mechanics theory. The equations of motion and boundary conditions of nanorods are derived by applying the Hamilton principle. A finite element method is developed to obtain the vibration frequencies of nanorods for different boundary conditions. A two-noded higher order rod finite element is used to solve the vibration problem. The natural frequencies of nanorods obtained with the present finite element analysis are validated by comparing the results of classical doublet mechanics and nonlocal strain gradient theories. The effects of rod length, mode number and boundary conditions on the axial vibration frequencies of nanorods are examined in detail. Mode shapes of the nanorods are presented for the different boundary conditions. It is shown that the doublet mechanics model can be used for the dynamic analysis of nanotubes, and the presented finite element formulation can be used for mechanical problems of rods with unavailable analytical solutions. These new results can also be used as references for the future studies.

Shell Finite Element Based on B-Spline Representation for Finite Rotations (B-Spline 곡면 모델링을 이용한 기하비선형 쉘 유한요소)

  • 노희열;조맹효
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.10a
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    • pp.429-436
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    • 2003
  • A new linkage framework between elastic shell element with finite rotation and computar-aided geometric design (CAGD) (or surface is developed in the present study. The framework of shell finite element is based on the generalized curved two-parametric coordinate system. To represent free-form surface, cubic B-spline tensor-product functions are used. Thus the present finite element can be directly linked into the geometric modeling produced by surface generation tool in CAD software. The efficiency and accuracy of the Previously developed linear elements hold for the nonlinear element with finite rotations. To handle the finite rotation behavior of shells, exponential mapping in the SO(3) group is employed to allow the large incremental step size. The integrated frameworks of shell geometric design and nonlinear computational analysis can serve as an efficient tool in shape and topological design of surfaces with large deformations.

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Improvement of the finite element dynamic model by using exact dynamic elements (엄밀한 동적 요소를 이용한 유한 요소 동적 모델의 개선)

  • Cho, Yong-Ju;Kim, Jong-Wook;Hong, Seong-Wook
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.590-595
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    • 2001
  • To improve the modeling accuracy for the finite element method, this paper proposes a method to make a combined use of finite elements and exact dynamic elements. Exact interpolation functions for a Timoshenko beam element are derived and compared with interpolation functions of the finite element method (FEM). The exact interpolation functions are tested with the Laplace variable varied. The exact interpolation functions are used to gain more accurate mode shape functions for the finite element method. This paper also presents a combined use of finite elements and exact dynamic elements in design problems. A Timoshenko frame with tapered sections is tested to demonstrate the design procedure with the proposed method.

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