Paper number 210

ANALYSIS OF THERMOELASTIC LAMINATED COMPOSITE PLATES AND SHELLS ON THE BASIS OF 3-D ANALYTICAL SOLUTION

V. E. Verijenko¹, P. Y. Tabakov², T. R. Tauchert³ and S. Adali¹

1Department of Mechanical Engineering, University of Natal
Durban 4001, South Africa
2CADENCE, Department of Mechanical Engineering, Technikon Natal
P. O. Box 953, Durban 4000, South Africa
3Department of Mechanical Engineering, University of Kentucky
Lexington, Kentucky, 40506-0046, USA

Summary

A mathematical approach for the analysis of three-dimensional problems of stress and strain state of thick laminated orthotropic plates under thermal loading is developed. The solution is based on the expansion of the sought displacements in double trigonometric Fourier series with a factor being a combination of unknown functions over the third variable. Both the real and complex roots of the characteristic equation as well as the type of expansion of the unknown functions through the thickness of the plate are defined. Results of the analysis of sandwich plates are presented and discussed.

Keywords

orthotropic plate, thermal loading, thermoelastic state, characteristic equation, real and complex roots.