Two-dimensional problem of anisotropic elastic body with a hyperbolic boundary

Abstract

The general and simplified formula for anisotropic medium with a hyperbolic boundary subjected to pure bending Mo is provided in this paper. The stress and strain fields in medium are obtained. Based upon the above results, we analyse the hoop stress along the hyperbolic curve and the stress distributions on the planex2=0 for aluminium (cubic crystal). When the boundary curve degenerates into an external crack three kinds of stress intensity factors (k1, k2, k3) are obtained, and it is easily found that the first stress intensity factor k1 is independent of the material constants.