• 제목/요약/키워드: Finite-element method simulations

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Compaction of Aggregated Ceramic Powders, Discrete Element and Finite Element Simulations

  • Pizette, P.;Martin, C. L.;Delette, G.
    • 한국분말야금학회:학술대회논문집
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    • 한국분말야금학회 2006년도 Extended Abstracts of 2006 POWDER METALLURGY World Congress Part 1
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    • pp.187-188
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    • 2006
  • In contrast with the Finite Element Method, the Discrete Element Method (DEM) takes explicitly into account the particulate nature of powders. DEM exhibits some drawbacks and many advantages. Simulations can be computationally expensive and they are only able to represent a volume element. However, these simulations have the great advantage of providing a wealth of information at the microstructural level. Here we demonstrate that the method is well suited for modelling, in coordination with FEM, the compaction of ceramic $UO_2$ particles that have been aggregated. Aggregates of individual ceramic crystallites that are strongly bonded together are represented by porous spheres.

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그래핀의 모드 I 균열에 대한 분자동역학 해석으로부터 균열 선단 응집 법칙의 평가 (Evaluation of Crack-tip Cohesive Laws for the Mode I Fracture of the Graphene from Molecular Dynamics Simulations)

  • 김현규
    • 한국전산구조공학회논문집
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    • 제26권5호
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    • pp.393-399
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    • 2013
  • 본 논문은 그래핀의 모드 I 균열 진전에 대한 분자동역학 해석과 수치보조장을 사용하는 영역 투영 방법의 역문제 해석 방법을 결합하여 균열 선단 응집 법칙을 평가하는 효율적인 방법을 제시하고 있다. 그래핀의 균열 선단 응집 법칙을 결정하는 것은 균열 선단에서 멀리 떨어진 영역의 변위를 사용하여 균열 면에서 미지의 응집 트랙션과 열림 변위를 구하는 역문제를 해석해야 하는데 상호 J-적분과 M-적분의 경로 보존성과 효율적인 수치보조장을 사용하는 방법을 적용하였다. 분자동역학 해석에서 원자 변위를 유한요소 절점 변위로 이동최소자승법을 사용하여 근사하였으며 안정적인 역문제 해석을 통하여 원자 단위의 거동을 연속체 해석으로 연결시킬 수 있는 새로운 방법을 보여주었다.

Numerical study on concrete penetration/perforation under high velocity impact by ogive-nose steel projectile

  • Islam, Md. Jahidul;Liu, Zishun;Swaddiwudhipong, Somsak
    • Computers and Concrete
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    • 제8권1호
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    • pp.111-123
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    • 2011
  • Severe element distortion problem is observed in finite element mesh while performing numerical simulations of high velocity steel projectiles penetration/perforation of concrete targets using finite element method (FEM). This problem of element distortion in Lagrangian formulation of FEM can be resolved by using element erosion methodology. Element erosion approach is applied in the finite element program by defining failure parameters as a condition for element elimination. In this study strain parameters for both compression and tension at failure are used as failure criteria. Since no direct method exists to determine these values, a calibration approach is used to establish suitable failure strain values while performing numerical simulations of ogive-nose steel projectile penetration/perforation into concrete target. A range of erosion parameters is suggested and adopted in concrete penetration/perforation tests to validate the suggested values. Good agreement between the numerical and field data is observed.

결정립 성장을 고려한 초소성 성형공정의 유한요소해석(I) (Finite Element Analysis of Superplastic Forming Processes Considering Grain Growth (I))

  • 김용관;송재선;김용환
    • 소성∙가공
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    • 제21권3호
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    • pp.151-159
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    • 2012
  • Finite element simulations were conducted to investigate the influence of grain growth in the superplastic blow forming process. A microstructure-based constitutive model considering grain growth effects is proposed and used in the simulations. Also, a grain growth rate equation accounting for both static and dynamic grain growth is implemented. The simulations were made using a 2D plane-strain model for constrained blow forming and an axisymmetric model for free bulging. These two models showed different features during the forming stages. However, the forming pressure-time curve and the thickness distribution obtained by both simulations explained well the deformation hardening induced by the grain growth during superplastic forming. This study shows that grain growth is an important factor in determining the material behavior during superplastic deformation.

A MULTISCALE MORTAR MIXED FINITE ELEMENT METHOD FOR SLIGHTLY COMPRESSIBLE FLOWS IN POROUS MEDIA

  • Kim, Mi-Young;Park, Eun-Jae;Thomas, Sunil G.;Wheeler, Mary F.
    • 대한수학회지
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    • 제44권5호
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    • pp.1103-1119
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    • 2007
  • We consider multiscale mortar mixed finite element discretizations for slightly compressible Darcy flows in porous media. This paper is an extension of the formulation introduced by Arbogast et al. for the incompressible problem [2]. In this method, flux continuity is imposed via a mortar finite element space on a coarse grid scale, while the equations in the coarse elements (or subdomains) are discretized on a fine grid scale. Optimal fine scale convergence is obtained by an appropriate choice of mortar grid and polynomial degree of approximation. Parallel numerical simulations on some multiscale benchmark problems are given to show the efficiency and effectiveness of the method.

축대칭 변형체의 마찰 접촉문제에 관한 유한요소 해석 (Finite Element Analysis for Frictional Contact Problems of Axisymmetric Deforming Bodies)

  • 장동환;조승한;황병복
    • 소성∙가공
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    • 제12권1호
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    • pp.26-33
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    • 2003
  • This paper is concerned with the numerical analysis of frictional contact problems in axisymmetric bodies using the rigid-plastic finite element method. A contact finite element method, based on a penalty function, are derived from variational formulations. The contact boundary condition between two deformable bodies is prescribed by the proposed algorithm. The program which can handle frictional contact problem is developed by using pre-existing rigid-plastic finite element code. Some examples used in this paper illustrate the effectiveness of the proposed formulations and algorithms. Efforts focus on the deformation patterns, contact force, and velocity gradient through the various simulations.

접촉감쇠의 수식화 및 외연적 유한요소법에의 적용 (Formulation of the Contact Damping and its Application to the Explicit Finite Element Method)

  • 이상욱;양동열;정완진
    • 소성∙가공
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    • 제8권3호
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    • pp.306-312
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    • 1999
  • In the recent sheet metal forming simulations, it increases to adopt the dynamic explicit method for an effective computation and the elastoplastic formulation for stress recovery. It is inevitable in the dynamic explicit method that some noises occur, which sometimes partly spoil results of simulations. This phenomenon becomes severer when complicate contact conditions are included in simulations. In commercial dynamic codes, the concept of contact damping is introduced. However, the formulation process of it is not revealed well. In this paper, a contact damping method is formulated in order for effectively suppressing noises occurring due to complicated contact conditions. This is checked by analyzing a simple sheet metal stamping process (U-draw bending). From the computational results, it is shown that the contact damping can effectively control the noises due to contacts, especially when considering the sheet thickness, and help to develop more reliable internal stress states, which result in more realistic shapes after springbank.

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Investigation of Strain Measurements using Digital Image Correlation with a Finite Element Method

  • Zhao, Jian;Zhao, Dong
    • Journal of the Optical Society of Korea
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    • 제17권5호
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    • pp.399-404
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    • 2013
  • This article proposes a digital image correlation (DIC) strain measurement method based on a finite element (FE) algorithm. A two-step digital image correlation is presented. In the first step, the gradient-based subpixels technique is used to search the displacements of a region of interest of the specimen, and then the strain fields are obtained by utilizing the finite element method in the second step. Both simulation and experiment processing, including tensile strain deformation, show that the proposed method can achieve nearly the same accuracy as the cubic spline interpolation method in most cases and higher accuracy in some cases, such as the simulations of uniaxial tension with and without noise. The results show that it also has a good noise-robustness. Finally, this method is used in the uniaxial tensile testing for Dahurian Larch wood specimens with or without a hole, and the obtained strain values are close to the results which were obtained from the strain gauge and the cubic spline interpolation method.

단결정 압축 변형 거동의 변형구배 결정소성 유한요소해석 (Strain Gradient Crystal Plasticity Finite Element Modeling for the Compression Behaviors of Single Crystals)

  • 정재호;조경목;최윤석
    • 한국재료학회지
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    • 제27권12호
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    • pp.679-687
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    • 2017
  • A strain-gradient crystal plasticity finite element method(SGCP-FEM) was utilized to simulate the compressive deformation behaviors of single-slip, (111)[$10{\bar{1}}$], oriented FCC single-crystal micro-pillars with two different slip-plane inclination angles, $36.3^{\circ}$ and $48.7^{\circ}$, and the simulation results were compared with those from conventional crystal plasticity finite element method(CP-FEM) simulations. For the low slip-plane inclination angle, a macroscopic diagonal shear band formed along the primary slip direction in both the CP- and SGCP-FEM simulations. However, this shear deformation was limited in the SGCP-FEM, mainly due to the increased slip resistance caused by local strain gradients, which also resulted in strain hardening in the simulated flow curves. The development of a secondly active slip system was altered in the SGCP-FEM, compared to the CP-FEM, for the low slip-plane inclination angle. The shear deformation controlled by the SGCP-FEM reduced the overall crystal rotation of the micro-pillar and limited the evolution of the primary slip system, even at 10 % compression.