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http://dx.doi.org/10.12989/sem.2010.34.6.703

The use of discontinuous first and second-order mixed boundary elements for 2D elastostatics  

Severcan, M.H. (Department of Civil Engineering, Nigde University)
Tanrikulu, A.K. (Department of Civil Engineering, Cukurova University)
Tanrikulu, A.H. (Department of Civil Engineering, Cukurova University)
Deneme, I.O. (Department of Civil Engineering, Aksaray University)
Publication Information
Structural Engineering and Mechanics / v.34, no.6, 2010 , pp. 703-718 More about this Journal
Abstract
In classical higher-order discontinuous boundary element formulation for two-dimensional elastostatics, interpolation functions for different boundary variables (i.e., boundary displacements and tractions) are assumed to be the same. However, there is a derivational relationship between these variables. This paper presents a boundary element formulation, called Mixed Boundary Element Formulation, for two dimensional elastostatic problems in which above mentioned relationship is taking into account. The formulations are performed by using discontinuous first and second-order mixed boundary elements. Based on the formulations presented in this study, two computer softwares are developed and verified through some example problems. The results show that the present formulation is credible.
Keywords
boundary element method; discontinuous mixed boundary element; two dimensional elastostatics;
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  • Reference
1 Banerjee, P.K. (1994), The Boundary Element Methods in Engineering, McGraw-Hill Book Company, London.
2 Sladek, V., Sladek, J. and Tanaka, M. (2001), "Numerical integration of logarithmic and nearly logarithmic singularity in BEMs", Appl. Math. Model., 25, 901-922.   DOI   ScienceOn
3 Timoshenko, S. and Goodier, J.N. (1970), Theory of Elasticity, McGraw-Hill, New York.
4 Zhang, X.S. and Zhang, X.X. (2003), "Exact integration in the boundary element method for two-dimensional elastostatic problems", Eng. Anal. Bound. Elem., 27, 987-997.   DOI   ScienceOn
5 Mengi, Y., Tanr kulu, A.H. and Tanr kulu, A.K. (1994), Boundary Element Method for Elastic Media, an Introduction, METU Pres, Ankara.
6 Saada, A.S. (1974), Elasticity Theory and Applications, Pergamon Press Inc., New York.
7 Severcan, M.H. (2004), Boundary Element Method Formulation for Dynamic Soil-structure Interaction Problems, Ph.D. Dissertation (in Turkish), University of Cukurova, Turkey.
8 Sladek, V. and Sladek, J. (1998), "Singular integrals and boundary elements", Comput. Method Appl. M., 157, 251-266.   DOI   ScienceOn
9 Becker, A.A. (1992), The Boundary Element Method in Engineering, McGraw-Hill Book Company, London.
10 Brebbia, C.A. and Dominguez, J. (1989), Boundary Elements an Introductory Course, Computational Mechanics Publications, Southampton.
11 Dyka, C.T. and Millwater, H.R. (1989), "Formulation and integration of continuous and discontinuous quadratic boundary elements for two dimensional potential and elastostatics", Comput. Struct., 31(4), 495-504.   DOI   ScienceOn
12 Liu, Y., Zhang, D. and Rizzo, F.J. (1993), "Nearly singular and hypersingular integrals in the boundary element method", Boundary Elements XV, Proceedings of the 15th International Conference on Boundary Elements, Worcester
13 Manolis, G.D. and Beskos, D.E. (1987), Boundary Element Method in Elastodynamics, Unwin Hyman, London.