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

Deng, Yajie1; Shen, Xingkeng1; Tao, Jixiao2; Dai, Ying1

2021-08-01

10.3390/math9161967

MATHEMATICS   影响因子和分区

2227-7390

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.

elastic-plastic problem complex variable meshless method interpolating shape function singular weight function complete basis function

SCI

英语

其他

National Science Foundation of China[12002240]

Mathematics

Mathematics

WOS:000689383000001

MDPI

Web of Science

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

Deng, Yajie,Shen, Xingkeng,Tao, Jixiao,et al. Analysis of Elastic-Plastic Problems Using the Improved Interpolating Complex Variable Element Free Galerkin Method[J]. MATHEMATICS,2021,9(16).

Deng, Yajie,Shen, Xingkeng,Tao, Jixiao,&Dai, Ying.(2021).Analysis of Elastic-Plastic Problems Using the Improved Interpolating Complex Variable Element Free Galerkin Method.MATHEMATICS,9(16).

Deng, Yajie,et al."Analysis of Elastic-Plastic Problems Using the Improved Interpolating Complex Variable Element Free Galerkin Method".MATHEMATICS 9.16(2021).