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
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