ZHANG Yao-ming, SUN Huan-chun. Analytical Treatment of Boundary Integrals in Direct Boundary Element Analysis of Plan Potential and Elasticity Problems[J]. Applied Mathematics and Mechanics, 2001, 22(6): 593-601.
Citation:
ZHANG Yao-ming, SUN Huan-chun. Analytical Treatment of Boundary Integrals in Direct Boundary Element Analysis of Plan Potential and Elasticity Problems[J]. Applied Mathematics and Mechanics, 2001, 22(6): 593-601.
ZHANG Yao-ming, SUN Huan-chun. Analytical Treatment of Boundary Integrals in Direct Boundary Element Analysis of Plan Potential and Elasticity Problems[J]. Applied Mathematics and Mechanics, 2001, 22(6): 593-601.
Citation:
ZHANG Yao-ming, SUN Huan-chun. Analytical Treatment of Boundary Integrals in Direct Boundary Element Analysis of Plan Potential and Elasticity Problems[J]. Applied Mathematics and Mechanics, 2001, 22(6): 593-601.
An analytical scheme,which avoids using the standard Gaussian approximate quadrature to treat the boundary integrals in direct boundary element method(DBEM)of two-dimensional potential and elastic problems,is established.With some numerical results,it is shown that the better precision and high computational efficiency,especially in the band of the domain near boundary,can be derived by the present scheme.
Hartman F. Introduction to Boundary Element: Theory and Applications[M]. Berlin: Springer,1989.
[2]
Brebbia C A, Tells J C F, Wrobel L C. Boundary Element Techniques[M]. Berlin, Heidelberg, New York,Tokyo: Springer-Verlag,1984.
[3]
Huang Q, Cruse T A. Some notes on singular integral technique in boundary element analysis[J]. Internat J Numer Methods Engrg,1993,36(3):2643-2659.
[4]
张耀明,孙焕纯. 虚边界元法的理论分析[J]. 计算力学学报,2000,17(1):56-62.
[5]
孙焕纯,张耀明. 无奇异边界元法[M]. 大连:大连理工大学出版社,1 999.
[6]
Guigglani M, Casalini P. Direct computation of Cauchy principal Value integral in advanced boundary elements[J]. Internat J Numer Methods Engrg,1987,24(8):1711-1720.