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  • Open Access

    PROCEEDINGS

    High-Precision Isoparametric Hole, Ring, Tube, Disk, Sphere Boundary Element and Their Applications in Mechanics Analysis

    Yongtong Zheng1,* , Yijun Liu1, Xiaowei Gao1,2,3

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.27, No.3, pp. 1-1, 2023, DOI:10.32604/icces.2023.09774

    Abstract Recently, a series of isoparametric boundary elements have been constructed to simulate the shape of holes, tubes, disks, rings and spheres based on the Lagrange interpolation formulation and the closure condition at two ends of an arc. These elements can simulate the models which contain the shapes mentioned above with less nodes and less elements than the conventional boundary elements. However, the basis of those elements, i.e., hole elements, have the poor accuracy when the number of nodes is less than 6. To improve these elements, two kinds of improvements are proposed in this study. The first one let more… More >

  • Open Access

    ABSTRACT

    Mesh based digital image correlation method using 8-node isoparametric element

    Zhao Zilong, Ma Shaopeng, Wang Xian

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.17, No.4, pp. 113-114, 2011, DOI:10.3970/icces.2011.017.113

    Abstract As one of the most important photomechanics experimental methods, digital image correlation (DIC) has been widely used in various areas for displacement and deformation field measurement. The main idea of DIC is to resolve the displacement of speckle patterns by independently matching the corresponding patterns on reference and deformed speckle images. In order to add the continuity between the matching of the adjacent patterns, the mesh based DIC (abbreviated mesh-DIC hereafter), in which the whole image are matched, is proposed by Sun, et al. In mesh-DIC, the whole displacement field is characterized by a mesh which is constructed by 4-node… More >

  • Open Access

    ARTICLE

    Unified Isoparametric 3D LagrangeFinite Elements

    Marcin Maździarz1

    CMES-Computer Modeling in Engineering & Sciences, Vol.66, No.1, pp. 1-24, 2010, DOI:10.3970/cmes.2010.066.001

    Abstract The paper presents unified approach to 3D isoparametric Lagrange brick, tetra, and prism finite elements. All shape functions, linear, quadratic and cubic, are depicted in one Cartesian orthogonal coordinate system x,y,z regardless of the type of element. This allows one to use a single transformation rule to calculate global derivatives and a second for integration. Proper numerical Gauss quadratures for these isoparametric elements in a unified approach are presented additionally. More >

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