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

Applied Mathematical Modelling

Volumn 29, Issue 11, 2005, Pages 1073-1099

  Tang, W C ^a   Fenner, R T ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Analytical integration; Boundary element method; Boundary integral equations; Exact geometry

Indexed keywords

COMPUTATIONAL GEOMETRY; FUNCTIONS; INTEGRAL EQUATIONS; INTEGRATION; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; POLYNOMIAL APPROXIMATION; PRESSURE EFFECTS; STRESS CONCENTRATION; VECTORS;

ANALYTICAL INTEGRATION; BOUNDARY INTEGRAL EQUATIONS; EXACT GEOMETRY;

BOUNDARY ELEMENT METHOD;

BOUNDARY ELEMENT METHOD; GEOMETRY;

EID: 26844444286     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2005.02.011     Document Type: Article

References (17)

1. P.K. Banerjee R. Butterfield Boundary Element Methods in Engineering Science 1981 McGraw-Hill London
2. R.T. Fenner The boundary integral equation method in engineering stress analysis Journal of Strain Analysis 18 1983 199-205
3. R.T. Fenner Engineering Elasticity 1986 Ellis Horwood Chichester, UK
4. A.A. Becker The Boundary Element Method in Engineering 1992 McGraw-Hill London
5. A. El-Zafrany Techniques of the Boundary Element Method, Mathematics and its Applications 1993 Ellis Horwood Chichester, UK
6. F. Paris J. Canas Boundary Element Method Fundamentals and Applications 1997 Oxford University Press New York
7. 2 over a circular element Applied Mathematical Modelling 7 1983 282-284
8. C. Katz, Analytical integration of isoparametric 2D-boundary elements, in: Boundary Elements VII International Conference, 1985, Lake Como, Italy, pp. 115-130.
9. S.P. Walker Geometrical representation and integration in BIE analysis International Journal for Numerical Methods in Engineering 31 1991 803-817
10. H.L.G. Pina J.L.M. Fernandes C.A. Brebbia Some numerical integration formulae over triangles and squares with a 1/R singularity Applied Mathematical Modelling 5 1981 209-211
11. J.T. Borggaard J.H. Kane J. Turi Highly accurate evaluation of system matrices for curved boundary elements Computers and Structures 40 1991 885-892
12. G.S. Padhi R.A. Shenoi S.S.J. Moy M.A. McCarthy Analytic integration of kernel shape function product integrals in the boundary element method Computers and Structures 79 2001 1325-1333
13. W.C. Tang, Analytical Integration and Exact Geometrical Representation in the Boundary Element Method, Ph.D. Thesis, Imperial College, University of London, 2003.
14. R.T. Fenner A force field superposition approach to plane elastic stress and strain analysis Journal of Strain Analysis 36 2001 517-529
15. R.C.J. Howland On the stresses in the neighbourhood of a circular hole in a strip under tension Transactions Royal Society (London) A 229 1930 49-86
16. I.S. Gradshteyn I.M. Ryzhik Table of Integrals, Series and Products 1980 Academic Press New York
17. H.B. Dwight Tables of Integrals and Other Mathematical Data fourth ed. 1969 The Macmillan Company New York