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

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


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

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.