On the removal of rigid body motions in the solution of elastostatic problems by direct bem

International Journal for Numerical Methods in Engineering

Volumn 39, Issue 23, 1996, Pages 4021-4038

  Blazquez A ^a   Mantic V ^a,b   Paris F ^a   Canas J ^a  

^a UNIVERSITY OF SEVILLE   (Spain)

^b TECHNICAL UNIVERSITY OF KO ICE   (Slovakia)

Author keywords

Boundary element method; Elasticity; Fredholm theory; Rigid body motions; Support conditions

Indexed keywords

BOUNDARY CONDITIONS; CALCULATIONS; ELASTICITY; LINEAR ALGEBRA; MATHEMATICAL OPERATORS;

FREDHOLM THEORY;

BOUNDARY ELEMENT METHOD;

EID: 0030412179     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19961215)39:23<4021::AID-NME36>3.0.CO;2-Q     Document Type: Article

References (23)

1. G. Chen and J. Zhou, Boundary Element Methods, Academic Press, London, 1992.
2. R. Kress, Linear Integral Equations, Springer, Berlin, 1989.
3. S. Prössdorf and V.G. Maz'ya, Linear and Boundary Integral Equations, Springer, Berlin, 1991.
4. M. Costabel, 'Principles of boundary element methods', Comput. Phys. Reports, 6, 243-274 (1987).
5. A. Greenbaum, L. Greengard and G. B. McFadden, 'Laplace's equation and the Dirichlet-Neumann map in multiply connected domains', J. Comput. Phys., 105, 267-278 (1993).
6. G. Hsiao and W. L. Wendland, 'On a boundary integral method for some exterior problems in elasticity', Proc. Tbiliski University, Tbiliski University Press, 1985, pp. 30-60.
7. U. Heise, 'Removal of the zero eigenvalues of integral operators in elastostatic boundary value problems', Acta Mech. 41, 41-61 (1981).
8. A. G. Ugodchikov and N. M. Khutorianskii, Boundary Element Method in the Mechanics of the Deformable Solid Body (in Russian), Kazan University Publishers, Kazan, 1986.
9. M. Vable, 'Importance and use of rigid body mode in boundary element method', Int. j. numer. methods eng., 29, 453-472 (1990).
10. C. A. Brebbia and J. Dominguez, Boundary Elements, An Introductory Course, CMP, Southampton, 1992.
11. R. Vodička, 'Iterative methods for linear system solution in BEM', Diploma Thesis, Czech Technical University of Prague, 1993 (in Slovak).
12. J. Bales, J. Sládek and V. Sládek, Stress Analysis by Boundary Element Methods, Elsevier, Amsterdam, 1989.
13. C. A. Brebbia, J. C. F. Telles and L. C. Wrobel, Boundary Element Techniques, Theory and Applications in Engineering, Springer, Berlin, 1984.
14. M. A. Jaswon and G. T. Symm, Integral Equation Methods in Potential Theory and Elastostatics, Academic Press, London, 1977.
15. B. Szabó and I. Babuška, Finite Element Analysis, Wiley, New York, 1991.
16. G. H. Golub and C. F. Van Loan, Matrix Computations, 2nd edn, Johns Hopkins, Baltimore, 1989.
17. O. C. Zienkiewicz, The Finite Element Method, McGraw-Hill, New York, 1977.
18. A. Jennings and J. J. McKeown, Matrix Computation, Wiley, Chichester, 1992.
19. S. P. Timoshenko and J. N. Goodier, Theory of Elasticity, 3rd edn, McGraw-Hill, New York, 1970.
20. G. Kuhn, G. Löbel and I. Potrč, Kritisches Losungverhalten der Randelementmethode mit logaritmischen Kern, ZAMM (1986).
21. S. G. Mikhlin, Multidimensional Singular Integrals and Integral Equations, Pergamon Press, Oxford, 1965.
22. J. C. Lachat and J. O. Watson, 'Progress in the use of boundary integral equations, illustrated by examples', Comput. Methods Appl. Mech. Eng., 10, 273-289 (1977).
23. S. Sirtori, G. Maier, G. Novati and S. Miccoli, 'A Galerkin symmetric boundary-element method in elasticity: formulation and implementation', Int. j. numer. methods eng., 35, 255-282 (1992).