Mathematical Problems in Engineering
Volume 2007 (2007), Article ID 82348, 25 pages
Research Article

Asymptotic Solution of the Theory of Shells Boundary Value Problem

I. V. Andrianov1 and J. Awrejcewicz2

1Institute of General Mechanic, RWTH Aachen, Templergraben 64, Aachen 52056, Germany
2Department of Automatics and Biomechanics, Technical University of Łódź, 1/15 Stefanowski Street, Łódź 90-924, Poland

Received 2 November 2006; Revised 26 February 2007; Accepted 29 June 2007

Academic Editor: José Manoel Balthazar

Copyright © 2007 I. V. Andrianov and J. Awrejcewicz. 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.


This paper provides a state-of-the-art review of asymptotic methods in the theory of plates and shells. Asymptotic methods of solving problems related to theory of plates and shells have been developed by many authors. The main features of our paper are: (i) it is devoted to the fundamental principles of asymptotic approaches, and (ii) it deals with both traditional approaches, and less widely used, new approaches. The authors have paid special attention to examples and discussion of results rather than to burying the ideas in formalism, notation, and technical details.