留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

一种有限元-边界元耦合分域算法

严波 杜鹃 胡宁 关根英树

严波, 杜鹃, 胡宁, 关根英树. 一种有限元-边界元耦合分域算法[J]. 应用数学和力学, 2006, 27(4): 463-469.
引用本文: 严波, 杜鹃, 胡宁, 关根英树. 一种有限元-边界元耦合分域算法[J]. 应用数学和力学, 2006, 27(4): 463-469.
YAN Bo, DU Juan, HU Ning, Sekine Hideki. A Domain Decomposition Algorithm With Finite Element-Boundary Element Coupling[J]. Applied Mathematics and Mechanics, 2006, 27(4): 463-469.
Citation: YAN Bo, DU Juan, HU Ning, Sekine Hideki. A Domain Decomposition Algorithm With Finite Element-Boundary Element Coupling[J]. Applied Mathematics and Mechanics, 2006, 27(4): 463-469.

一种有限元-边界元耦合分域算法

基金项目: 中国博士后科学基金资助项目(2004036145)
详细信息
    作者简介:

    严波(1965- ),男,重庆永川人,教授,博士(联系人.Tel:+86-23-65102561;Fax:+86-23-65111468;E-mail:boyan@cqu.edu.cn)

  • 中图分类号: O302;O24

A Domain Decomposition Algorithm With Finite Element-Boundary Element Coupling

  • 摘要: 提出了一种有限元-边界元耦合分域算法.该算法将所分析问题的区域分解成有限元和边界元子域,在满足两子域界面上位移和面力协调连续的条件下,通过迭代求解得到问题的解.在迭代求解过程中,引入动态松弛系数,使收敛得以加速.该方法在两子域界面上有限单元结点和边界单元结点的位置相互独立,无需协调一致,对诸如裂纹扩展过程的模拟具有独特的优势.用所提出的耦合算法分析算例,得到的结果与有限元法、边界元法和另一种耦合算法的数值计算结果一致,验证了这种算法的正确性和可行性.
  • [1] Zienkiewicz O C,Kelly D W,Bettes P.Coupling of finite element and boundary solution procedures[J].Internat J Numer Meth Engng,1977,11(2):355—375. doi: 10.1002/nme.1620110210
    [2] Brebbia C A, Georgion P.Combination of boundary and finite elements in elastostatics[J].Appl Math Mode,1979,3(1):212—220. doi: 10.1016/0307-904X(79)90053-2
    [3] Varadarajan A,Sharma K G,Sinch R B.Some aspects of coupled FEBEM analysis of underground openings[J].Internat J Numer Anal Meth Geomech,1985,9(6):557—571. doi: 10.1002/nag.1610090605
    [4] Beer G, Swoboda G.Applicaion of advanced boundary element and coupled methods in geomechanics[A].In:Cruse T A Ed.Advanced Boundary Element Methods[C].Berlin:Springer, 1987,19—28.
    [5] HONG Chi-an. Stress analysis of a U-frame structure by the coupling of boundary and finite element methods[D]. Ph D dissertation.Stillwater:Oklahoma State University, 1986.
    [6] Zarco M A. Solution of soil-structure interaction problems by coupled boundary element-finite element method[D].Ph D dissertation.Blacksburg: Virginia Polytechnic Institute and State University, 1993.
    [7] Kelly D W,Mustoe G,Zienkiewicz O C.Coupling boundary element methods with other numerical methods[A].In:Banerijee P K,Buttefield R,Eds.Developments in Boundary Element Methods[C].1.Chap 10.London: Applied Science, 1979.
    [8] Hsiao G C.The Coupling of BEM and FEM-A Brief Review[M].Boundary Elements Ⅹ,Southampton:Computational Mechanics, 1988,431—445.
    [9] Prasad N N V. Integrated techniques for coupled elastostatic BEM and FEM analysis[D].Master thesis.Albuquerque: The University of New Mexico, 1992.
    [10] Lin C C. An iterative finite element-boundary element algorithm[J].Computers & Structures,1996,59(5):899—909.
  • 加载中
计量
  • 文章访问数:  2967
  • HTML全文浏览量:  198
  • PDF下载量:  495
  • 被引次数: 0
出版历程
  • 收稿日期:  2004-12-09
  • 修回日期:  2005-12-05
  • 刊出日期:  2006-04-15

目录

    /

    返回文章
    返回