Subdomain solutions of complex variable boundary element method
Tóm tắt
In this paper, a new subdomain solution of the boundary element method based on complex variable fundamental solutions for non-homogeneous materials is developed. Being different from the conventional BEM, subdomains in the method presented can be produced by considering not only the properties of materials, but also the geometry and correspondent boundary conditions of the problem. The formulation may be combined with other complex variable fundamental solutions to provide higher accuracy and better efficiency. The coupling formulations are given in matrix form, and the numerical procedure is described. the advantages and high efficiency of the present method are demonstrated by two numerical examples.
Tài liệu tham khảo
Huang, H. L.; Tang, S. G. (1988) Boundary element method using functions of complex variables, J. Tongji University (in Chinese), 14(2), 179–191
Hromadka-II, T. V.; Lai, C. (1986) The Complex Variable Boundary Element Method in Engineering Analysis, Springer-Verlag
Tang, S. G.; Kitching, R. (1993) Elastoplastic analysis of 2D problems with hole by BEM using complex variables, Int. J. Mech. Sci., 35(7), 577–586
Tang, S. G.; Cao, Z. Y. (1996) Complex variable BIE method for viscoelastic analysis, J. Engng. Mechanics (in Chinese), 143–147
Tang, S. G.; Cao, Z. Y. (1997) Complex Variable BIE solutions for viscoplastic analysis, J Tongji University (in Chinese), 25(3), 293–299
Brebbia, C. A. (1978) The Boundary Element Method for Engineers, Pentech Press
Muskhelishvili, N I. (1953) Some Basic Problems of Mathematical Theory of Elasticity, Noordhoff, Groningen
Tang, S. G.; Cao, Z. Y. (1988) Complex variable fundamental solutions for semi-infinite and infinite plane with opening under various boundary conditions, Appl. Math. and Mech., 19
NISA User's Manual (1992) EMRC, P.O. Box 696, Troy, MI, 48099, USA
Gadala, M. S.; Tang, S. (1998) Complex variable boundary element solution for half plane problems with straight boundary clamped, Int. J. Solids and Structures (in press)