A node-centric indirect boundary element method: Three-dimensional displacement discontinuities

Computers and Structures

Volumn 74, Issue 6, 2000, Pages 687-703

  Vijayakumar, S ^a   Yacoub, T E ^a   Curran, J H ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

Adaptive integration; Collocation; Continuation; Displacement discontinuity method; Node centric; Singular integrals

Indexed keywords

ADAPTIVE ALGORITHMS; BOUNDARY ELEMENT METHOD; INTEGRAL EQUATIONS;

DISPLACEMENT DISCONTINUITY METHOD;

STRUCTURAL ANALYSIS;

EID: 0033879155     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(99)00078-4     Document Type: Article

References (21)

1. Salamon M.D.G. Elastic analysis of displacements and stresses induced by the mining of seam or reef deposits, Part I. J. S. Afr. Inst. Min. Metall. 64:1963;128-149.
2. Crouch S.L., Starfield A.M. Boundary element methods in solid mechanics. 1983;Allen and Unwin, London.
3. Wiles T.D., Curran J.H. A general 3D displacement discontinuity method. Proc. 3rd Int. Conf. Num. Meth. Geomech. 1982;103-111.
4. Beer G., Watson J.O. Introduction to finite element and boundary element methods for engineers. 1992;Wiley, England.
5. Hadamard J. Lectures on Cauchy’s problem in linear partial differential equations. 1923;Yale University Press, New Haven, CT.
6. Shou K.J., Siebrits E., Crouch S.L. A higher order displacement discontinuity method for three-dimensional elastostatic problems. Int. J. Rock Mech. Min. Sci. 34:(2):1997;317-322.
7. Kuriyama K., Mizuta Y. Three-dimensional elastic analysis by the displacement discontinuity method with boundary division into triangular leaf elements. Int. J. Rock Mech. Min. Sci. 30:(2):1993;111-123.
8. Cayol V., Cornet F.H. 3D mixed boundary elements for elastostatic deformation field analysis. Int. J. Rock Mech. Min. Sci., 34:(2):1997;275-287.
9. Vandamme L., Curran J.H. A three-dimensional hydraulic fracturing simulator. Int. J. Numer. Meth. Engng. 28:1989;909-927.
10. de Paula F.A., Telles J.C.F. A comparison between point collocation and Galerkin for stiffness matrices obtained by boundary elements. Engineering Analysis with Boundary Elements. 6:(3):1989;123-126.
11. Vijayakumar S, Yacoub TE, Curran JH. Generalization of boundary element integrals for arbitrary domains (in preparation).
12. Vijayakumar S., Cormack D.E. An invariant imbedding method for singular integral evaluation on finite domains. SIAM J. App. Math. 48:1988;1335-1349.
13. Vijayakumar S., Cormack D.E. A new concept in near-singular integral evaluation: the continuation approach. SIAM J. App. Math. 49:1989;1285-1295.
14. Rosen D., Cormack D.E. The continuation approach for singular and near-singular integration. Engineering Analysis with Boundary Elements. 13:1994;99-113.
15. Dwight H.B. Tables of integrals and other mathematical data. 4th ed. 1961;Macmillan, New York.
16. Kane J.H. Boundary element analysis in engineering continuum mechanics. 1994;Prentice-Hall, Englewood Cliffs.
17. Sneddon I.N., Lowengrub M. Crack problems in the classical theory of elasticity. 1969;Wiley, New York.
18. Sun J.R. Theoretical size of hydraulically induced horizontal fracture and corresponding surface uplift in an idealized medium. J. Geophys. Res. 74:1969;5995-6011.
19. Timoshenko S.P., Goodier J.N. Theory of elasticity. 1970;McGraw Hill, New York.
20. Erlebacher G., Hussaini M.Y., Jameson L.M. Wavelets theory and applications. 1996;Oxford University Press, Oxford.
21. Vijayakumar S., Cormack D.E. Differential geometric foundation of the boundary element method. Mech. Res. Comm. 142:1987;73-80.