Analytical integration and exact geometrical representation in the two-dimensional elastostatic boundary element method

被引：7

作者：

Tang, WC ^{[1
]}

Fenner, RT ^{[1
]}

机构：

[1] Univ London Imperial Coll Sci & Technol, Dept Mech Engn, London SW7 2AZ, England

来源：

APPLIED MATHEMATICAL MODELLING | 2005年 / 29卷 / 11期

关键词：

boundary integral equations; boundary element method; exact geometry; analytical integration;

D O I：

10.1016/j.apm.2005.02.011

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Two ways of improving the accuracy of results in the boundary element method are considered. Since the geometries of many problems of practical interest are created from straight lines and circular arcs, errors caused by representing such geometries approximately using quadratic shape functions can be removed using exact geometrical representations for straight and circular boundaries. Besides, exact geometrical representations enable exact analytical integrations for some situations, thereby eliminating the errors caused by approximate numerical integration. The results of some simple test problems show that the use of exact representation of straight and circular geometries, and analytical integration in the situations where this is possible, offers worthwhile benefits in the boundary element analysis of two-dimensional elastostatics problems. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：1073 / 1099

页数：27

共 50 条

[1] Exact integration in the boundary element method for two-dimensional elastostatic problems
Zhang, XS
Zhang, XX
[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2003, 27 (10) : 987 - 997
[2] A two-dimensional Isogeometric Boundary Element Method for elastostatic analysis
Simpson, R. N.
Bordas, S. P. A.
Trevelyan, J.
Rabczuk, T.
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2012, 209 : 87 - 100
[3] BOUNDARY ELEMENT INVESTIGATION OF TWO-DIMENSIONAL ELASTOSTATIC PROBLEMS.
TANAKA, MASATAKA
IWATA, YUJI
[J]. 1982, V 27 (N 2): : 247 - 259
[4] The elastostatic three-dimensional boundary element method: analytical integration for linear isoparametric triangular elements
Milroy, J
Hinduja, S
Davey, K
[J]. APPLIED MATHEMATICAL MODELLING, 1997, 21 (12) : 763 - 782
[5] Exact integration for stress evaluation in the boundary element analysis of two-dimensional elastostatics
Zhang, XS
Zhang, XX
[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2004, 28 (09) : 997 - 1004
[6] Analytical Expressions for the Singularities Treatment in the Three-dimensional Elastostatic Boundary Element Method
Prado Leite, Leonardo Fellipe
de Melo, Rodrigo Souza
da Rocha, Fabio Carlos
[J]. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 2021, 7 (02): : 739 - 751
[7] Exact integration and its application in adaptive boundary element analysis of two-dimensional potential problems
Zhang, Xiaosong
An, Xin
[J]. COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 2008, 24 (11): : 1239 - 1250
[8] Exact boundary element integrations for two-dimensional Laplace equation
Fratantonio, M
Rencis, JJ
[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2000, 24 (04) : 325 - 342
[9] A new fast multipole boundary element method for solving large-scale two-dimensional elastostatic problems
Liu, YJ
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2006, 65 (06) : 863 - 881
[10] Analytical integrations for two-dimensional elastic analysis by the symmetric Galerkin boundary element method
A. Carini
M. Diligenti
P. Maranesi
M. Zanella
[J]. Computational Mechanics, 1999, 23 : 308 - 323

← 1 2 3 4 5 →