Abstract
Two-dimensional asymmetric dynamic thermal stresses in a hollow circular cylinder subjected to a sudden time-dependent temperature field are studied numerically. The method employs the explicit finite difference approximations with second-order accuracy based on the integration of the governing equations along the bicharacteristics. Numerical calculations are carried out to analyze the propagation and reflection of thermal stress waves in a hollow circular cylinder subjected to sudden internal heat generation caused by the absorption of gamma-ray or electromagnetic radiation. The rate of heat generation is assumed to be constant for the duration of the pulse and to diminish exponentially with distance from the surface of cylinder and is an arbitary function of the angle around the axis of the cylinder. Heating time is accounted for ; however, heat conduction is ignored. Several numerical results are presented that illustrate the significance of the dynamic effects and their dependence on the coordinates and heating time.
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