円柱座標系における平面応力問題の2,3の解について*

概要

論文の詳細を見る
Problems of flexure and stress of a thick plate are of interest in view of both the theory of elasticity and the practice of engineering. It is well known that some problems of plane stress such as of circular plates, circular ring plates or circular ring sector plates with small thicknesses can be easily analyzed by using the Airy stress function for the polar coordinates. However, plane stress problems in the case of plates with large thicknesses are very complicated compared with those of plates with small thicknesses, because there is a change in the values of the components of stress and displacement, laterally along the plate. This report presents some solutions to plane stress problems referring to a thick plate with cylindrical coordinates. As examples, solutions for the state of plane stress, generalized plane stress, and anti-symmetric plane stress to the middle plane of a plate are obtained, and are applied to problems of a thick plate stretched by forces in its plane and a thick plate bent to a state of plane stress or a state of generalized plane stress.
北見工業大学の論文