• Title/Summary/Keyword: quadrilateral

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Quadrilateral mesh fitting that preserves sharp features based on multi-normals for Laplacian energy

  • Imai, Yusuke;Hiraoka, Hiroyuki;Kawaharada, Hiroshi
    • Journal of Computational Design and Engineering
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    • v.1 no.2
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    • pp.88-95
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    • 2014
  • Because the cost of performance testing using actual products is expensive, manufacturers use lower-cost computer-aided design simulations for this function. In this paper, we propose using hexahedral meshes, which are more accurate than tetrahedral meshes, for finite element analysis. We propose automatic hexahedral mesh generation with sharp features to precisely represent the corresponding features of a target shape. Our hexahedral mesh is generated using a voxel-based algorithm. In our previous works, we fit the surface of the voxels to the target surface using Laplacian energy minimization. We used normal vectors in the fitting to preserve sharp features. However, this method could not represent concave sharp features precisely. In this proposal, we improve our previous Laplacian energy minimization by adding a term that depends on multi-normal vectors instead of using normal vectors. Furthermore, we accentuate a convex/concave surface subset to represent concave sharp features.

An efficient partial mixed finite element model for static and free vibration analyses of FGM plates rested on two-parameter elastic foundations

  • Lezgy-Nazargah, M.;Meshkani, Z.
    • Structural Engineering and Mechanics
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    • v.66 no.5
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    • pp.665-676
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    • 2018
  • In this study, a four-node quadrilateral partial mixed plate element with low degrees of freedom (dofs) is developed for static and free vibration analysis of functionally graded material (FGM) plates rested on Winkler-Pasternak elastic foundations. The formulation of the presented finite element model is based on a parametrized mixed variational principle which is developed recently by the first author. The presented finite element model considers the effects of shear deformations and normal flexibility of the FGM plates without using any shear correction factor. It also fulfills the boundary conditions of the transverse shear and normal stresses on the top and bottom surfaces of the plate. Beside these capabilities, the number of unknown field variables of the plate is only six. The presented partial mixed finite element model has been validated through comparison with the results of the three-dimensional (3D) theory of elasticity and the results obtained from the classical and high-order plate theories available in the open literature.

Analysis of plane frame structure using base force element method

  • Peng, Yijiang;Bai, Yaqiong;Guo, Qing
    • Structural Engineering and Mechanics
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    • v.62 no.1
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    • pp.11-20
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    • 2017
  • The base force element method (BFEM) is a new finite element method. In this paper, a degenerated 4-mid-node plane element from concave polygonal element of BFEM was proposed. The performance of this quadrilateral element with 4 mid-edge nodes in the BFEM on complementary energy principle is studied. Four examples of linear elastic analysis for plane frame structure are presented. The influence of aspect ratio of the element is analyzed. The feasibility of the 4 mid-edge node element model of BFEM on complementary energy principles researched for plane frame problems. The results using the BFEM are compared with corresponding analytical solutions and those obtained from the standard displacement finite element method. It is revealed that the BFEM has better performance compared to the displacement model in the case of large aspect ratio.

Development of Reinforced Concrete Shell Element with Drilling Rotational Stiffness (면내회전강성도를 갖는 철근콘크리트 쉘요소의 개발)

  • 김태훈;유영화;신현목
    • Journal of the Korea Concrete Institute
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    • v.11 no.6
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    • pp.47-56
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    • 1999
  • In this paper, a nonlinear finite element procedure is presented for the analysis of reinforced concrete shell structures. The 4-node quadrilateral flat shell finite element with drilling rotational stiffness is developed. The layered approach is used to discretize behavior of concrete and reinforcement through the thickness. Material nonlinearity is taken into account by comprising tensile, compressive and shear models of cracked concrete and a model of reinforcing steel. The smeared crack approach is incorporated. The steel reinforcement is assumed to be in a uniaxial stress state and to be a smeared in a layer. The proposed numerical method for nonlinear analysis of reinforce concrete shells will be verified by comparison with reliable experimental results.

On the Accuracy and Efficiency of Calculation with Respect to the Grid Construction Methods for Unstructured Meshes (비정렬 격자계에서 격자계 구성방법에 따른 계산의 정확도와 효율에 관한 연구)

  • Kim S. R;Wang Z. J.
    • Journal of computational fluids engineering
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    • v.9 no.1
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    • pp.48-56
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    • 2004
  • The numerical simulations with unstructured mesh by cell-centered and vertex-centered approaches were peformed for the quadrilateral and triangular meshes. For 2-D inviscid supersonic vortex flow, the simulation results and the analytic solution were compared and the accuracy was assessed. The calculation efficiency was measured by the parameter defined by the consumed CPU time multiplied by absolute error As a results, equilateral triangular mesh yielded the best accuracy and efficiency among the tested meshes. Cell-centered approach gives a little better efficiency than vertex - centered approach.

Damage Analysis of Reinforced Concrete Columns under Cyclic Loading

  • Lee, Jee-Ho
    • KCI Concrete Journal
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    • v.13 no.2
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    • pp.67-74
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    • 2001
  • In this study, a numerical model for the simulation of reinforced concrete columns subject to cyclic loading is presented. The model consists of three separate models representing concrete, reinforcing steel bars and bond-slip between a reinforcing bar and ambient concrete. The concrete model is represented by the plane stress plastic-damage model and quadrilateral finite elements. The nonlinear steel bar model embedded in truss elements is used for longitudinal and transverse reinforcing bars. Bond-slip mechanism between a reinforcing bar and ambient concrete is discretized using connection elements in which the hysteretic bond-slip link model defines the bond stress and slip displacement relation. The three models are connected in finite element mesh to represent a reinforced concrete structure. From the numerical simulation, it is shown that the proposed model effectively and realistically represents the overall cyclic behavior of a reinforced concrete column. The present plastic-damage concrete model is observed to work appropriately with the steel bar and bond-slip link models in representing the complicated localization behavior.

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HIGH-ORDER ADAPTIVE-GRID METHOD FOR THE ANALYSIS OF UNSTEADY COMPRESSIBLE FLOW (비정상 압축성 유동 해석을 위한 고차 정확도 적응 격자 기법의 연구)

  • Chang, S.M.;Morris, Philip J.
    • Journal of computational fluids engineering
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    • v.13 no.3
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    • pp.69-78
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    • 2008
  • The high-order numerical method based on the adaptive mesh refinement(AMR) on the quadrilateral unstructured grids has been developed in this paper. This adaptive-grid method, originally developed with MUSCL-TVD scheme, is now extended to the WENO (weighted essentially no-oscillatory) scheme with the Runge-Kutta time integration of fifth order in spatial and temporal accuracy. The multidimensional interpolation was studied in the preliminary research, which allows us to maintain the same order of accuracy for the computation of numerical flux between two adjacent cells of different levels. Some standard benchmark tests are done to validate this method for checking the overall capacity and efficiency of the present adaptive-grid technique.

Ductile Fracture Behaviour under Mode I Loading Using Rousellier Ductile Damage Theory

  • Oh, Dong-Joon;Howard, I.C.;Yates, J.R.
    • Journal of Mechanical Science and Technology
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    • v.14 no.9
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    • pp.978-984
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    • 2000
  • The aim of this study is to investigate the ductile fracture behaviour under Mode I loading using SA533B pressure vessel steel. Experiments consist of the Round Notch Bar Test (RNB), Single Edge Crack Bending Test (SECB), and V-Notch Bar Test (VNB). Results from the RNB test were used to tune the damage modelling constant. The other tests were performed to acquire the J-resistance curves and to confirm the damage constants. Microstructural observation includes the measurement of crack profile to obtain the roughness parameter. Finally, simulation using Rousellier Ductile Damage Theory (RDDT) was carried out with 4-node quadrilateral element ($L_c=0.25\;mm$). For the crack advance, the failed element removal technique was adopted with a ${\beta}$ criterion. In conclusion, the predicted simulation using RDDT showed a good agreement with the experimental results. A trial using a roughness parameter was made for a new evaluation of J-resistance curve, which is more conservative than the conventional one.

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Development of 3-D Flow Analysis Code Using Unstructured Grid System (II) - Code's Performance Evaluation - (비정렬격자계를 사용하는 3차원 유동해석코드 개발 (II) - 코드성능평가 -)

  • Kim, Jong-Tae;Kim, Jong-Eun;Myong, Hyon-Kook
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.29 no.9 s.240
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    • pp.1057-1064
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    • 2005
  • A conservative finite-volume numerical method using unstructured meshes, which is developed by the authors, is evaluated for its application to several 2-D benchmark problems using a variety of quadrilateral, triangular and hybrid meshes. The present pressure-based numerical method for unstructured mesh clearly demonstrates the same accuracy and robustness as that fur typical structured mesh.

Development of Eco-Friendly Self-Controlled Gate (친환경성을 고려한 무동력 자동수문 개발)

  • Chung, Kwang-Kun;Lee, Kwang-Ya;Kim, Hae-Do
    • Proceedings of the Korea Water Resources Association Conference
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    • 2006.05a
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    • pp.546-551
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    • 2006
  • It considered the population decrease and becoming older in age of the Rural area and operates by unmaned-non power which self-controlled gate developed. The operational principal used a buoyancy and when water level in the canal arrived to the set water level, in order for gate to be opened. The plate in order to fix to the shape in the canal which begs, it did in the quadrilateral and the rainfall it is sour intensively, canal bank comfort plate in order to ascend completely, it designed. The result which establishes Self-controlled gate, the gate upstream 1km until degree there was water level synergistic effect. It developed 4 as the research project and it established in Ah San city, and it establishes the Self-controlled gate of $B3.2m{\times}H2.4m$ size in Damyang and 100ha it does water supply in the rice field.

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