On the Plane Stress Problem in a Ring of Orthogonally Aeolotropic Material

Abstract

In the present paper, the two-dimensional stress distribution in an orthogonally aeolotropic plate, bounded by two concentric circular contours, is treated. The same problems, in the case of isotropic material, have been solved easily by the use of the polar co-ordinates. In the case of aeolotropic plate, however, the solutions are rather complicated because of the directionality of its elastic properties, and the author treats it by the perturbation method using the orthogonal co-ordinates, similar to that of th previous papers. Numerical examples are worked out for three kinds of material, showing that considerably large stress concentration may occur in some aeolotropic plate even in the case of uniform inner pressure.