Abstract
When a sphere is suddenly subjected to an instantaneous axisymmetric heating on its surface, stress waves occur at the surface of the sphere the moment thermal impact is applied. The stress waves in a sphere proceed radially inward to the center of the sphere. The wave may accumulate at the center and give rise to very large stress magnitudes, even though the initial thermal stress should be relatively small. This phenomenon is called the stress-focusing effect. In this paper, we analyze the phenomenon theoretically. The results give a clear indication of the mechanism of thermal stress-focusing effects and clarify the order of singularity of the stress-focusing effects in a sphere.
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