A Meshless Method Based on the Nonsingular Weight Functions for Elastoplastic Large Deformation Problems

被引：106

作者：

Liu, Fengbin ^{[1
]}

Wu, Qiang ^{[1
]}

Cheng, Yumin ^{[1
]}

机构：

[1] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai Key Lab Mech Energy Engn, Shanghai 200072, Peoples R China

来源：

INTERNATIONAL JOURNAL OF APPLIED MECHANICS | 2019年 / 11卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Meshless method; interpolating moving least-squares method; improved element-free Galerkin method; nonsingular weight function; elastoplastic large deformation; FREE GALERKIN METHOD; NUMERICAL-SIMULATION; LARGE DEFLECTION;

D O I：

10.1142/S1758825119500066

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this study, based on a nonsingular weight function, the improved element-free Galerkin (IEFG) method is presented for solving elastoplastic large deformation problems. By using the improved interpolating moving least-squares (IMLS) method to form the approximation function, and using Galerkin weak form based on total Lagrange formulation of elastoplastic large deformation problems to form the discretilized equations, which is solved with the Newton-Raphson iteration method, we obtain the formulae of the IEFG method for elastoplastic large deformation problems. In numerical examples, the influences of the penalty factor, scale parameter of influence domain and weight functions on the computational accuracy are analyzed, and the numerical solutions show that the IEFG method for elastoplastic large deformation problems has higher computational efficiency and accuracy.

引用

页数：25

共 43 条

[1] An improved complex variable element-free Galerkin method for two-dimensional elasticity problems [J].

Bai Fu-Nong ;

Li Dong-Ming ;

Wang Jian-Fei ;

Cheng Yu-Min .

CHINESE PHYSICS B, 2012, 21 (02)

[2] ELEMENT-FREE GALERKIN METHODS [J].

BELYTSCHKO, T ;

LU, YY ;

GU, L .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1994, 37 (02) :229-256

[3] Reproducing kernel particle methods for large deformation analysis of non-linear structures [J].

Chen, JS ;

Pan, CH ;

Wu, CT ;

Liu, WK .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1996, 139 (1-4) :195-227

[4] A hybrid improved complex variable element-free Galerkin method for three-dimensional advection-diffusion problems [J].

Cheng, H. ;

Peng, M. J. ;

Cheng, Y. M. .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2018, 97 :39-54

[5] The dimension splitting and improved complex variable element-free Galerkin method for 3-dimensional transient heat conduction problems [J].

Cheng, H. ;

Peng, M. J. ;

Cheng, Y. M. .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2018, 114 (03) :321-345

[6] A hybrid improved complex variable element-free Galerkin method for three-dimensional potential problems [J].

Cheng, H. ;

Peng, M. J. ;

Cheng, Y. M. .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2017, 84 :52-62

[7] A Fast Complex Variable Element-Free Galerkin Method for Three-Dimensional Wave Propagation Problems [J].

Cheng, Heng ;

Peng, Miaojuan ;

Cheng, Yumin .

INTERNATIONAL JOURNAL OF APPLIED MECHANICS, 2017, 9 (06)

[8] Analyzing modified equal width (MEW) wave equation using the improved element-free Galerkin method [J].

Cheng, R. J. ;

Liew, K. M. .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2012, 36 (09) :1322-1330

[9] A novel interpolating element-free Galerkin (IEFG) method for two-dimensional elastoplasticity [J].

Cheng, Y. M. ;

Bai, F. N. ;

Peng, M. J. .

APPLIED MATHEMATICAL MODELLING, 2014, 38 (21-22) :5187-5197

[10]

Cheng Y. M, 2018, SCI SINICA, V48, P57

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