A stable, meshfree, nodal integration method for nearly incompressible solids

被引：17

作者：

Elmer, William ^{[1
]}

Chen, J. S. ^{[2
]}

Puso, Mike ^{[3
]}

Taciroglu, Ertugrul ^{[2
]}

机构：

[1] Lawrence Livermore Natl Lab, Def Syst Anal Grp, Livermore, CA 94550 USA

[2] Univ Calif Los Angeles, Civil & Environm Engn Dept, Los Angeles, CA 90095 USA

[3] Lawrence Livermore Natl Lab, Methods Dev Grp, Livermore, CA 94550 USA

来源：

FINITE ELEMENTS IN ANALYSIS AND DESIGN | 2012年 / 51卷

基金：

美国国家科学基金会;

关键词：

Pressure modes; Nodal integration; Incompressibility; PARTICLE METHODS; FINITE-ELEMENT;

D O I：

10.1016/j.finel.2011.11.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An improved nodal integration method for nearly incompressible materials is proposed. Although nodal integration methods can avoid displacement type locking with nearly incompressible material, they often encounter pressure oscillations. A mixed approach to nodal integration is exploited to avoid the oscillation. The method is applied to nodal integration using meshless shape functions and appears to work well in simple two dimensional benchmark tests. The method currently relies on a structured discretization but generalizations are proposed as the basis for future work. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：81 / 85

页数：5

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