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Mathematical Problems in Engineering
Volume 2006 (2006), Article ID 71548, 13 pages

An iterative algorithm for solution of contact problems of beams, plates and shells

1Department of Automatics and Biomechanics, Technical University of Łódź, Łódź 90-924, Poland
2Department of Mathematics, Saratov State Technical University, Saratov 410054, Russia

Received 1 June 2006; Accepted 16 July 2006

Copyright © 2006 Jan Awrejcewicz and Anton V. Krysko. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


An iterative algorithm to solve efficiently one-sided interaction between two rectangular plates within the Kirchhoff hypothesis is proposed. Then a proof of convergence of this algorithm is given. The formulated theorem, proof, and five remarks exhibit advantages of our proposed novel approach.