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

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

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 elast...

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Bibliographic Details
Main Authors: Yajie Deng, Xingkeng Shen, Jixiao Tao, Ying Dai
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Mathematics
Subjects:
elastic–plastic problem
complex variable meshless method
interpolating shape function
singular weight function
complete basis function
Online Access:https://www.mdpi.com/2227-7390/9/16/1967
Description
Summary: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.
ISSN:2227-7390

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