Explicit 3-D RKPM shape functions in terms of kernel function moments for accelerated computation

被引：11

作者：

Zhou, JX ^{[1
]}

Wang, XM ^{[1
]}

Zhang, ZQ ^{[1
]}

Zhang, L ^{[1
]}

机构：

[1] Xian Jiaotong Univ, Sch Civil Engn & Mech, Xian 710049, Peoples R China

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2005年 / 194卷 / 9-11期

基金：

中国国家自然科学基金;

关键词：

meshless method; reproducing kernel particle method; shape functions; moments;

D O I：

10.1016/j.cma.2004.06.022

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The construction of meshless shape functions is more time-consuming than evaluation of FEM shape functions. Therefore. it is of great importance to take measures to speed up the computation of meshless shape functions. 3-D meshless shape functions and their derivatives are. in the context of reproducing kernel particle method (RKPM). expressed explicitly in terms of kernel function moments for the very first time. This avoids solutions of linear algebraic equations and numerical inversions encountered in standard RKPM implementation. thus speeds up computation of meshless shape functions. A numerical test is performed in a hexahedral domain with the mere purpose of comparing the computation time for shape functions construction between the standard RKPM implementation and the enhanced procedure. Then two 3-D elastostatics; numerical examples are presented. which demonstrate that the proposed unique treatment of RKPM shape functions is especially effective. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：1027 / 1035

页数：9

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