Hybrid Natural Element Method for Elastic Large Deformation Problems

被引：6
|
作者：
Ma, Yongqi [1 ,2 ]
Zhou, Yankai [1 ,3 ]
Dong, Yi [4 ]
Feng, Wei [1 ]
机构：
[1] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China
[2] Shanghai Univ, Dept Mech, Shanghai 200444, Peoples R China
[3] Shanghai Underground Space Architectural Design &, Shanghai 200020, Peoples R China
[4] Shanghai Ind Urban Dev Grp Ltd, Shanghai 200030, Peoples R China
来源：
INTERNATIONAL JOURNAL OF APPLIED MECHANICS | 2016年 / 8卷 / 04期
基金：
上海市自然科学基金;
关键词：
Natural neighbor interpolation; Hellinger-Reissner variational principle; hybrid natural element method; elastic large deformation problems; meshless method; KERNEL PARTICLE METHODS; INTEGRAL-EQUATION METHOD; FREE GALERKIN METHOD; LARGE DEFLECTION; MLPG; PLATES;
D O I：
10.1142/S1758825116500447
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Elastic large deformation analysis based on the hybrid natural element method (HNEM) is presented in this paper. The natural neighbor interpolation is adopted to construct the shape functions for the HNEM. The incremental formulation of Hellinger-Reissner variational principle is used to derive discrete system of incremental equations under the total Lagrangian formulation. And the Newton-Raphson iteration is applied to solve these incremental equations. Compared with the natural element method (NEM), the HNEM can directly obtain nodal stresses of higher precision, which will bring advantage in the iteration process and improve computational efficiency in solving elastic large deformation problems. Some numerical examples demonstrate the validity of the HNEM for elastic large deformation problems.
引用
收藏
页数：23
相关论文
共 50 条
  • [21] Error estimators and the adaptive finite element method on large strain deformation problems
    Meyer, Arnd
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2009, 32 (16) : 2148 - 2159
  • [22] A polygonal finite element method for modeling arbitrary interfaces in large deformation problems
    S. O. R. Biabanaki
    A. R. Khoei
    Computational Mechanics, 2012, 50 : 19 - 33
  • [23] A polygonal finite element method for modeling arbitrary interfaces in large deformation problems
    Biabanaki, S. O. R.
    Khoei, A. R.
    COMPUTATIONAL MECHANICS, 2012, 50 (01) : 19 - 33
  • [24] A GENERALIZED FINITE ELEMENT METHOD FOR MODELING ARBITRARY INTERFACES IN LARGE DEFORMATION PROBLEMS
    Biabanaki, S. Omid R.
    Khoei, A. R.
    COMPUTATIONAL PLASTICITY XI: FUNDAMENTALS AND APPLICATIONS, 2011, : 1317 - 1328
  • [25] The improved element-free Galerkin method for elastoplasticity large deformation problems
    Cai XiaoJie
    Peng MiaoJuan
    Cheng YuMin
    SCIENTIA SINICA-PHYSICA MECHANICA & ASTRONOMICA, 2018, 48 (02)
  • [26] Shell element for large elastic-plastic deformation
    Schieck, B.
    Smolenski, W.M.
    Stumpf, H.
    Zeitschrift fuer Angewandte Mathematik und Mechanik, ZAMM, Applied Mathematics and Mechanics, 78 (Suppl 2):
  • [27] Hybrid domain decomposition method and boundary element method for the solution of large array problems
    Zhao, Kezhong
    Rawat, Vineet
    Lee, Seung-Cheol
    Lee, Jin-Fa
    2007 IEEE ANTENNAS AND PROPAGATION SOCIETY INTERNATIONAL SYMPOSIUM, VOLS 1-12, 2007, : 5433 - 5436
  • [28] A local search scheme in the natural element method for the analysis of elastic-plastic problems
    Lu, Ping
    Guo, Shiyuan
    Shu, Yang
    Liu, Bin
    Li, Peifeng
    Cao, Wei
    Jiang, Kaiyong
    ADVANCES IN ENGINEERING SOFTWARE, 2023, 176
  • [29] Hybrid model of peridynamics and finite element method for static elastic deformation and brittle fracture analysis
    Shen, Feng
    Yu, Yangtian
    Zhang, Qing
    Gu, Xin
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2020, 113 : 17 - 25
  • [30] Hybrid continuum model for large elastic deformation of rubber
    Beda, T
    Chevalier, Y
    JOURNAL OF APPLIED PHYSICS, 2003, 94 (04) : 2701 - 2706
12345