EDINBURGH, SCOTLAND

The Fourth International Congress on Industrial and Applied Mathematics, ICIAM99 (July 5-9, 1999)


Mini-symposium MSP-251. Plate and Shells: Asymptotic Methods

Organisers:

DAUGE, Monique (Universite de Rennes 1, France)

PITKARANTA, Juhani (University of Helsinki, Finland)


Oleg V. Motygin and Serguei A. Nazarov

A suitable for computer realization method for boundary layer construction in the theory of thin plates

Abstract:
The general procedure of construction and ortogonalization of all polynomial solutions to an elliptic problem is adapted for the elasticity problem in a semi-infinite strip. The media is assumed to be anisotropic and is allowed to be non-homogeneous in the transversal direction. In the case when the strip is homogeneous, explicit formulae are obtained. For a laminated media the procedure is reduced to manipulations with matrices performed with the help of computer. Integral representations of the solutions in the general non-homogeneous media are presented.