Stress-Focusing Effect in a Transversely Isotropic Cylinder Caused by Instantaneous Heating

When a transversely isotropic solid cylinder is subjected suddenly to a uniform temperature rise, a stress wave occurs at the surface the moment thermal impact is applied. The stress wave at the surface proceeds radially inward to the center of the cylinder. The wave may accumulate at the center and give rise to very large stress magnitudes, even though the initial thermal stress is relatively small. This phenomenon is called the stress-focusing effect. In this paper we analytically analyze the effects of these waves using the ray series. The results give clear indications of the mechanism of the stress focusing effect in a transversely isotropic solid cylinder.