• Title/Summary/Keyword: FEM Mesh

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Analysis of Deformation Localization of Void Material using Nolocal Constitutive Relation (I) (비국소형 구성식을 이용한 보이드 재료의 변형 국소화 거동의 해석(I))

  • 김영석;최홍석;임성언
    • Transactions of Materials Processing
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    • v.9 no.1
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    • pp.59-65
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    • 2000
  • Most studies of failure analysis in ductile metals have been based on the classical plasticity theory using the local constitutive relations. These frequently yields a physically unrealistic solution, in which a numerical prediction of the onset of a deformation localization shows an inherent mesh-size sensitivity. A one way to remedy the spurious mesh sensitivity resulted in the unreasonable results is to incorporate the non-local plasticity into the simulation model, which introduce an internal (material) length-scale parameter into the classical constitutive relations. In this paper, a non-local version of the modified Gurson constitutive relation has been introduced into the finite element formulation of the simulation for plane strain compression of the visco elastic-plastic void material. By introducing the non-local constitutive relations we could successfully removed the inherent mesh-size sensitivity for the prediction of the deformation localization. The effects of non-local constitutive relation are discussed in terms of the load-stroke curve and the strain distributions accross the shear band.

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A New All-Hexahedral Refinement Technique by Automatic Expansion of Zero Thickness Element Layers (무두께 요소층을 이용한 육면체 격자의 세분화 기법)

  • 박철현;양동열
    • Transactions of Materials Processing
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    • v.12 no.4
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    • pp.334-339
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    • 2003
  • This paper presents a new algorithm that enables the refinement of hexahedral elements while maintaining the appropriate connectivity. In the algorithm, at first the regions of mesh to be refined are defined and, then, the zero-thickness element layers are inserted into the interfaces between the regions. All the meshes in the regions, in which the zero-thickness layers are inserted, are to be regularized in order to improve the shape of the slender elements on the interfaces. This algorithm is applied to the analysis of plastic deformation process. The results show that the refined mesh gives smaller relative errors than the original mesh.

Static analysis of FGM cylinders by a mesh-free method

  • Foroutan, M.;Moradi-Dastjerdi, R.;Sotoodeh-Bahreini, R.
    • Steel and Composite Structures
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    • v.12 no.1
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    • pp.1-11
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    • 2012
  • In this paper static analysis of FGM cylinders subjected to internal and external pressure was carried out by a mesh-free method. In this analysis MLS shape functions are used for approximation of displacement field in the weak form of equilibrium equation and essential boundary conditions are imposed by transformation method. Mechanical properties of cylinders were assumed to be variable in the radial direction. Two types of cylinders were analyzed in this work. At first cylinders with infinite length were considered and results obtained for these cylinders were compared with analytical solutions and a very good agreement was seen between them. Then the proposed mesh-free method was used for analysis of cylinders with finite length and two different types of boundary conditions. Results obtained from these analyses were compared with results of finite element analyses and a very good agreement was seen between them.

The Automatic Mesh Refinement of FEM and Posteriori Error Estimation (유한요소의 자동 재분할과 사후오차평가)

  • Kim, B. I.;Bai, S. H.;Chang, C. D.
    • Journal of Korean Port Research
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    • v.10 no.2
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    • pp.61-68
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    • 1996
  • The main problems in structural analysis by Finite Eelement Method are difficulty in making data file and error estimation. For decreasing these problems' pays. have been suggesting the adaptive mesh refinement and error estimation method. Posteriory error estimation methods suggested by Jang[1], Babuska[2,3], Ohtsubo[8,9], and this paper. Comparing these methods and examine their properties. According this paper, In the problem supposed having singularity, the method suggested by this paper is good, But the problem supposed having no singularity, the method suggested by Jang[1] is good. For decreasing the effect of initial mesh in p-refinement, make application h-refinement at first and apply p-refinement, and confine polynomial's degree to two, for making program simply by plural mesh models are not needed.

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A Study on Shearing Mechanism by FEM (유한요소법을 이용한 전단 메카니즘에 관한 연구)

  • 정성훈;강정진;오수익
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1995.03a
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    • pp.211-223
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    • 1995
  • The purpose of the present study is to examine shearing mechanism through rigidplastic finite element analysis. Difficulties arise in simulating shearing process due tothe narrow shear band formation andlackof proper fracture resolve these difficulties by using adaptive mesh generation crriterion. The simulation results are obtained for various punch clearances and these are compared with existing experimental results. It is shown that FEM simulation technique can be used to further understand the shearing mechanism.

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Eigenvalue design sensivity analysis of structure using continuum method (연속법에 의한 판구조 고유진동수의 민감도 해석)

  • 이재환;장강석;신민용
    • Journal of Ocean Engineering and Technology
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    • v.11 no.1
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    • pp.3-9
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    • 1997
  • In this paper, design sensivity of plate natural frequency is computed for thickness design variables. Once the variational equation is derived from Lagrange quation using the virtual displacement, governing energy bilinear form is obtained and sensivity equation is formulated through the first variation. Natural frequency is obtained using the commercial FEM code and the accuracy of sensivity is verified by finite difference. The accuracy of natural frequency and sensivity improves for the fine mesh model.

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Three-Dimensional Finite Element Mesh Generation of Tires Considering Detailed Tread Patterns (상세 트레드 패턴을 반영한 3차원 타이어 메쉬 생성)

  • Cho, J.R.;Kim, K.W.;Hong, S.I.;Kim, N.J.;Kim, K.W.
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.330-335
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    • 2001
  • While contacting directly with ground, the tire tread part is in shape of complex patterns of variable ASDs(anti-skid depth) for various tire performances. However, owing to the painstaking mesh generation job and the extremely long CPU-time, conventional 3-D tire analyses have been performed by either neglecting tread pattern or modeling circumferential grooves only. As a result, such simplified analysis models lead to considerably poor numerical expectations. This paper addresses the development of a systematic 3-D mesh generation of tires considering the detailed tread pattern. Basically, tire body and tread meshes are separately generated, and then both are to be combined. For the systematic mesh generation, which consists of a series of meshing steps, we develop in-house subroutines which utilize the useful functions of I-DEAS solid modeler. The detailed pattern mesh can be imparted partially or completely.

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Adaptive finite element wind analysis with mesh refinement and recovery

  • Choi, Chang-Koon;Yu, Won-Jin
    • Wind and Structures
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    • v.1 no.1
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    • pp.111-125
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    • 1998
  • This paper deals with the development of variable-node element and its application to the adaptive h-version mesh refinement-recovery for the incompressible viscous flow analysis. The element which has variable mid-side nodes can be used in generating the transition zone between the refined and unrefined element and efficiently used for the construction of a refined mesh without generating distorted elements. A modified Guassian quadrature is needed to evaluate the element matrices due to the discontinuity of derivatives of the shape functions used for the element. The penalty function method which can reduce the number of the independent variables is adopted for the purpose of computational efficiency and the selective reduced integration is carried out for the convection and pressure terms to preserve the stability of solution. For the economical analysis of transient problems in which the locations to be refined are changed in accordance with the dynamic distribution of velocity gradient, not only the mesh refinement but also the mesh recovery is needed. The numerical examples show that the optimal mesh for the finite element analysis of a wind around the structures can be obtained automatically by the proposed scheme.

Evaluation of the J integral of a CT specimen by FEM (FEM에 의한 CT시험편의 J 적분 해석에 관한 연구)

  • Kim, Won Beom
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.15 no.11
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    • pp.6440-6445
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    • 2014
  • In steel structures, including ships and offshore structures, defects induced during construction or in use causes cracks and damages. Calculation of the stress intensity factor (SIF) K is one method for crack analysis by fracture mechanics approach. In this paper, an evaluation of K was carried out using the J integral. In particular, in this study, a CT specimen was used to calculate the J integral. In the evaluation, 859 nodes and 1618 elements were used for the J integral calculation of the CT specimen by the in-house FEM program. A comparison of the result with the ASTM formula showed that the results from the current research of the J integral was in the 99% coincidence interval. Overall, cracks in this study can be studied satisfactorily by the J integral from the above mesh size.

A Method for Nonlinear Dynamic Response Analysis of Semi-infinite Foundation Using Mapping (사영에 의한 반무한지반의 비선형해석)

  • Lee Choon-Kil
    • Journal of the Korean Geotechnical Society
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    • v.22 no.4
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    • pp.5-10
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    • 2006
  • A special finite difference method for nonlinear dynamic response analysis of semi-infinite foundation soil using mapping which transforms semi-infinite domain into finite domain is presented here. For the region of engineering interest, mapping is isometric, and fur far field, shrink mapping which transforms infinite interval into finite interval is adopted. At first, the responses of semi-infinite foundation soil with linear constituting model are computed, and compared with theoretical results and those of existing method. Good agreements are obtained among the results of the proposed method, Lamb's theory and FEM with extensive mesh model. Then the responses of infinite foundation soil are computed by the present method, using small and large mesh model. The results of small and large mesh models agree well with each other, demonstrating the effectiveness of the proposed method.