Abstract
This paper presents analytical solution for an anisotropic elastic cylinder subjected to arbitorary out-of-plane shear loadings on its lateral surface. Anisotropy of the cylinder may be allowed the coupling effct such as out-of-plane shear (in-plane) deformation due to in-plane (out-of-plane) loading, which is confirmed by its constitutive equation. Several results obtained in this research can be applicable when the two assumptions are kept. These two assumptions are as follows; i) cross section of the elliptic cylinder and out-of-plane external loadings are both constant along its generator, ii) height of the cylinder is much greater than the other dimensions, that is, treatment due to generalized plane strain state is possible. Since similar analytical solutions for isotropic and orthotropic elastic cylinder, which do not have above-mentioned coupling effect, are not derived yet, calculation examples for the cylinder are shown not only general anisotropic cylinder but also isotropic or orthotropic cylinder by several schematics in this paper.
