A new support integration scheme for the weakform in mesh-free methods

被引：43

作者：

Liu, Yan ^{[1
]}

Belytschko, Ted ^{[1
]}

机构：

[1] Northwestern Univ, Dept Mech Engn, Evanston, IL 60208 USA

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2010年 / 82卷 / 06期

关键词：

element-free Galerkin method; mesh-free methods; support domain; numerical integration; STRESS-POINT INTEGRATION; NODAL INTEGRATION; QUADRATURE; PARTITION;

D O I：

10.1002/nme.2780

中图分类号：

T [工业技术];

学科分类号：

120111 [工业工程];

摘要：

A new support integration technique is proposed, which is similar to those used in truly mesh-free methods. The contribution of this paper is to exploit the divergence-free condition for the support integrals to construct quadrature formulas that only require three integration points per particle M two dimensions. Numerical examples show that the proposed integration method can achieve results that agree with manufactured closed-form solutions. Copyright (C) 2009 John Wiley & Sons, Ltd.

引用

页码：699 / 715

页数：17

共 33 条

[1]

ATLURI SN, 2002, MESH LESS LOCAL PETR

[2]

Quadrature for meshless methods [J].