Analysis of Elastic-Plastic Problems Using the Improved Interpolating Complex Variable Element Free Galerkin Method

被引：3

作者：

Deng, Yajie ^{[1
]}

Shen, Xingkeng ^{[1
]}

Tao, Jixiao ^{[2
]}

Dai, Ying ^{[1
]}

机构：

[1] Tongji Univ, Sch Aerosp Engn & Appl Mech, Shanghai 200092, Peoples R China

[2] Southern Univ Sci & Technol, Dept Mech & Aerosp Engn, Shenzhen 518055, Peoples R China

来源：

MATHEMATICS | 2021年 / 9卷 / 16期

基金：

美国国家科学基金会;

关键词：

elastic-plastic problem; complex variable meshless method; interpolating shape function; singular weight function; complete basis function; LEAST-SQUARES METHOD; IEFG METHOD; SPH;

D O I：

10.3390/math9161967

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A numerical model for the two-dimensional nonlinear elastic-plastic problem is proposed based on the improved interpolating complex variable element free Galerkin (IICVEFG) method and the incremental tangent stiffness matrix method. The viability of the proposed model is verified through three elastic-plastic examples. The numerical analyses show that the IICVEFG method has good convergence. The solutions using the IICVEFG method are consistent with the solutions obtained from the finite element method using the ABAQUS program. Moreover, the IICVEFG method shows greater computing precision and efficiency than the non-interpolating meshless methods.

引用

页数：16

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