Implementation of dual grid technique in BEM analysis of 3D contact problems
Abstract
The work is devoted to the practical application of dual grids in the boundary element method (BEM). Definitions of dual grids on the plane are given and algorithm constructing dual grid for a given triangulation is described. The problem of utilizing two numerical solutions of one problem defined on the couple of dual grids is considered and the results of this technique are demonstrated. The examples from geomechanics modelling the contact interaction of shallow foundations and elastic bases are presented.
References
[1] V.M. Abramov. Investigation of eccentric loading of circular punch on elastic half-space (in Russian). Doklady Acad. Science-DAN USSR, 23(8): 759- 763, 1939.
[2] S.M. Aleynikov. The spatial contact problem for a rigid foundation on the elastic half-space (in Russian). Izv. Vuzov. Construction, N 4: 52- 59, 1997.
[3] S.M. Aleinikov, A.A. Sedaev. Dual grids and their application in the Boundary Element Method. Computational Mathematics and Mathematical Physics, 38: 228- 241 , 1999.
[4] S.M. Aleynikov, S.V. Ikonin. Patent of Russian Federation N 2043462 "Foundation for buildings of tower type on the wedge-shaped base", 1995.
[5] S.M. Aleynikov, S.V. Ikonin. Prevention of non-uniform settlement of foundations. Building Research Journal, 44: 69- 89, 1996.
[2] S.M. Aleynikov. The spatial contact problem for a rigid foundation on the elastic half-space (in Russian). Izv. Vuzov. Construction, N 4: 52- 59, 1997.
[3] S.M. Aleinikov, A.A. Sedaev. Dual grids and their application in the Boundary Element Method. Computational Mathematics and Mathematical Physics, 38: 228- 241 , 1999.
[4] S.M. Aleynikov, S.V. Ikonin. Patent of Russian Federation N 2043462 "Foundation for buildings of tower type on the wedge-shaped base", 1995.
[5] S.M. Aleynikov, S.V. Ikonin. Prevention of non-uniform settlement of foundations. Building Research Journal, 44: 69- 89, 1996.
Published
2023-04-03
Issue
pp. 167-184
Section
Articles
License
Copyright © The Author(s).
This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.
How to Cite
Aleynikov, S., & Sedaev, A. (2023). Implementation of dual grid technique in BEM analysis of 3D contact problems. Computer Assisted Methods in Engineering and Science, 7(2), 167-184. https://cames3.ippt.pan.pl/index.php/cames/article/view/1248
