A novel interpolating element-free Galerkin (IEFG) method for two-dimensional elastoplasticity

被引：78

作者：

Cheng, Y. M. ^{[1
]}

Bai, F. N. ^{[1
]}

Peng, M. J. ^{[2
]}

机构：

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

[2] Shanghai Univ, Dept Civil Engn, Shanghai 200072, Peoples R China

来源：

APPLIED MATHEMATICAL MODELLING | 2014年 / 38卷 / 21-22期

基金：

中国国家自然科学基金;

关键词：

Moving least-squares approximation; Interpolating moving least-squares method; Element-free Galerkin method; Interpolating element-free Galerkin method; Elastoplasticity; FREE-METHOD BEFM; KERNEL PARTICLE METHOD; FREE METHOD IBEFM; ELASTICITY PROBLEMS; POTENTIAL PROBLEMS; FRACTURE PROBLEMS; MESHLESS METHOD; ELASTODYNAMICS;

D O I：

10.1016/j.apm.2014.04.008

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Using the interpolating moving least-squares (IMLS) method to obtain the shape function, we present a novel interpolating element-free Galerkin (IEFG) method to solve two-dimensional elastoplasticity problems. The shape function of the IMLS method satisfies the property of Kronecker delta function, then in the meshless methods based on the IMLS method, the essential boundary conditions can applied directly. Based on the Galerkin weak form, we obtain the formulae of the IEFG method for solving two-dimensional elastoplasticity problems. The IEFG method has some advantages, such as simpler formulae and directly applying the essential boundary conditions, over the conventional element-free Galerkin (EFG) method. The results of three numerical examples show that the computational precision of the IEFG method is higher than that of the EFG method. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：5187 / 5197

页数：11

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