Strain Analysis of 3-Dimensional Elastic Large Deformation for a Thick Circular Plate by Convected Coordinates. Comparison with the Classical Plate Theory.

Abstract

It is generally known that Lagrange's classical plate theory is not appropriate for large deflection problems. However, there are very few reports which investigate the range of applicability of the classical theory by 3-dimensional finite deformation elastic solution. Therefore, in this paper a uniformly loaded circular plate with a clamped edge is analyzed using 3-dimensional finite deformation theory, and by the use of these results, the applicability of Lagrange's theory is examined. As a numerical method, the 3-dimensional finite element method which is formulated using the incremental theory based on the convected coordinates is used.