Mathematical Problems in Engineering 
Volume 2007 (2007), Article ID 82348, 25 pages
doi:10.1155/2007/82348
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

Recommended by José Manoel Balthazar

This paper is dedicated to the memory of Professor J. J. Telega

Abstract

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.