复变量重构核粒子法与有限元法耦合解弹性力学问题  

Coupling of Complex Variable Reproducing Kernel Particle Method and Finite Element Method for Elasticity

作　　者：陈丽[1,2] 李九红[3] 程玉民[2] 

机构地区：[1]长安大学理学院工程力学系,西安710064 [2]上海大学上海市应用数学和力学研究所,上海200072 [3]西安理工大学建筑工程系,西安710048

出　　处：《力学季刊》2009年第2期191-200,共10页Chinese Quarterly of Mechanics

基　　金：国家自然科学基金(10871124,50679069);上海市教育委员会科研创新项目(09ZZ99)

摘　　要：提出了弹性力学的复变量重构核粒子法与有限元法的耦合法(CVRKPM/FEM)。采用场量耦合试函数法将弹性力学的复变量重构核粒子法与有限元法进行耦合,详细推导了在整个求解域上的耦合公式。最后通过数值算例证实了本文所提弹性力学的复变量重构核粒子法与有限元的耦合法的有效性。本文的耦合法不仅可以很方便地施加本质边界条件,而且可以充分利用无网格方法和有限元法的优势,弥补各自不足以提高计算效率。A coupled CVRKPM/FEM for analyzing two dimensional elasticity problems was presented. A coupled displacement approximation function was applied for combining CVRKPM with FEM, and the corresponding formulations of the coupled method were presented in detail. Two numerical examples of elasticity problems were presented to demonstrate the effectiveness of present coupled method. The coupled CVRKPM/FEM method not only apply the essential boundary condition conveniently, but also exploit their advantages to avoid individual disadvantages, then the computation efficiency is higher.

关 键 词：弹性力学 复变量重构核粒子法 有限元法 CVRKPM/FEM耦合法 耦合试函数 

分 类 号：O241[理学—计算数学]