Research on the Connection of Multi-scale Quadrilateral Finite Element Meshes

被引：1
|
作者：
Fang X. [1 ]
Lin X. [1 ]
Liu Z. [2 ]
机构：
[1] School of Mechanical Engineering, Nanjing Institute of Technology, Nanjing
[2] State Key Laboratory of CAD&CG, Zhejiang University, Hangzhou
来源：
Jixie Gongcheng Xuebao/Journal of Mechanical Engineering | 2019年 / 55卷 / 09期
关键词：
Finite element; Heterogeneous meshes; Isoparametric transformation; Shape function; Virtual node;
D O I：
10.3901/JME.2019.09.100
中图分类号：
学科分类号：
摘要：
A nodal shape function construction method of a multi-node quadrilateral element is put forward in this paper for the discontinuous transmission of nodal property on the interface of two nonmatching finite element meshes in analyzing multi-scale problems. First, each irregular quadrilateral element and its nodes including additional nodes are transferred into regular quadrilateral element and nodes by interpolating with numerical inverse isoparametric mapping, then, each node on the regular quadrilateral element is treated as a base point, its neighboring nodes can be searched in two orthogonal directions, and two product factors of this nodal shape function are established by the distance from the base point to its neighboring nodes and the changing value of their nodal properties, thus all the nodal shape functions can be built. Each of the shape function makes the influence range of a nodal property in a controlled quadrilateral area determined by the base point and its neighboring nodes. It makes the property of the nodes on the interface of two contact meshes seamless connect, and it ensures the change of the field in the region for analysis be continuous, conforming and isotropic. © 2019 Journal of Mechanical Engineering.
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页码：100 / 106
页数：6
相关论文
共 11 条
  • [1] Thevenaz P., Blu T., Unser M., Interpolation revisited, IEEE Transactions on Medical Imaging, 19, 7, pp. 739-758, (2000)
  • [2] Onate E., Rojek J., Combination of discrete element and finite element methods for dynamic analysis of geomechanics problems, Computer Methods in Applied Mechanics and Engineering, 193, 27-29, pp. 3087-3128, (2004)
  • [3] Flemisch B., Puso M.A., Wohlmuth B.I., A new dual mortar method for curved interfaces: 2D elasticity, International Journal for Numerical Methods in Engineering, 63, 6, pp. 813-832, (2005)
  • [4] Eguzkitza B., Houzeaux G., Calmet H., Et al., A gluing method for non-matching meshes, Computers and Fluids, 110, pp. 159-168, (2015)
  • [5] Cho Y.S., Jun S., Im S., Et al., An improved interface element with variable nodes for non-matching finite element meshes, Computer Methods in Applied Mechanical Engineering, 194, 27-29, pp. 3022-3046, (2005)
  • [6] Cho Y.S., Im S., MLS-based variable-node elements compatible with quadratic interpolation. Part I: Formulation and Application for Non-Matching meshes, International Journal for Numerical Methods in Engineering, 65, 4, pp. 494-516, (2006)
  • [7] Cho Y.S., Im S., MLS-based variable-node elements compatible with quadratic interpolation. Part II: Formulation and Application for Non-Matching meshes, International Journal for Numerical Methods in Engineering, 65, 4, pp. 517-547, (2006)
  • [8] Kim H., Interface element method: treatment of non-matching nodes at the ends of interfaces between partitioned domains, Computer Methods in Applied Mechanics and Engineering, 192, 15, pp. 1841-1858, (2003)
  • [9] Cui S., Non-matching grid interface treatment for the space-time conservation element and solution element method, Procedia Engineering, 31, pp. 1115-1124, (2012)
  • [10] Fang X., Liu Z., Tan J., Research on equivalent and integrated method for multiple physical fields on heterogeneous finite element meshes, Journal of Zhejiang University, 48, 6, pp. 973-979, (2014)
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