Three-dimensional elastic stresses of circular plate in couple-stress theory (Comparison with thin-plate theory)

Abstract

In the linear couple-stress theory, three-dimensional elastic stress analysis of a plate is carried out, in order to evaluate the thin-plate theory. The problem treated here is the axisymmetric bending of a clamped circular plate subjected to an annularly distributed load. For this analysis, the use is made of the indirect fictitious-boundary integral method. From the results, the applicability of the thin-plate theory is investigated, and further, the effects of various parameters, such as the characteristic length and the bending-twisting modulus, on the behaviour of a plate are made clear.