Advanced implementation of the boundary element method in elastostatics

作者: A. Ranjbaran

DOI: 10.1016/0045-7949(95)98880-Y

关键词: Numerical analysisApplied mathematicsBoundary element methodMathematicsAlgorithmSingular boundary methodBasis (linear algebra)Symmetry (physics)Efficient algorithmBoundary knot method

摘要: Abstract A boundary element program for the elastostatic analysis of two-dimensional problems is introduced. The program's theoretical basis developed and its computational aspects are highlighted. An efficient algorithm implementation symmetry proposed. Finally, through solution three typical examples validity verified.

参考文章(25)
John Bray Colloquium, E. T. Brown, John Bray, Analytical and computational methods in engineering rock mechanics Allen & Unwin. ,(1987)
C. A. Brebbia, S. Walker, Boundary Element Techniques in Engineering ,(1979)
O. C. Zienkiewicz, R. L. Taylor, Basic formulation and linear problems McGraw-Hill. ,(1989)
Zhang Qing, Subrata Mukherjee, Design sensitivity coefficients for linear elastic bodies with zones and corners by the derivative boundary element method International Journal of Solids and Structures. ,vol. 27, pp. 983- 998 ,(1991) , 10.1016/0020-7683(91)90095-W
G. F. Dargush, P. K. Banerjee, A time-dependent incompressible viscous BEM for moderate Reynolds numbers International Journal for Numerical Methods in Engineering. ,vol. 31, pp. 1627- 1648 ,(1991) , 10.1002/NME.1620310812
C.A. Brebbia, Weighted residual classification of approximate methods Applied Mathematical Modelling. ,vol. 2, pp. 160- 164 ,(1978) , 10.1016/0307-904X(78)90003-3
G. F. Dargush, P. K. Banerjee, A boundary element method for steady incompressible thermoviscous flow International Journal for Numerical Methods in Engineering. ,vol. 31, pp. 1605- 1626 ,(1991) , 10.1002/NME.1620310811
J. Dominguez, R. Gallego, Time domain boundary element method for dynamic stress intensity factor computations International Journal for Numerical Methods in Engineering. ,vol. 33, pp. 635- 647 ,(1992) , 10.1002/NME.1620330309
A. Portela, M. H. Aliabadi, D. P. Rooke, The dual boundary element method: Effective implementation for crack problems International Journal for Numerical Methods in Engineering. ,vol. 33, pp. 1269- 1287 ,(1992) , 10.1002/NME.1620330611
A.S.M. Israil, P.K. Banerjee, Two-dimensional transient wave-propagation problems by time-domain BEM International Journal of Solids and Structures. ,vol. 26, pp. 851- 864 ,(1990) , 10.1016/0020-7683(90)90073-5