Abstract
A thermoelastodynamic problem of spherical symmetry is solved in which the thermally induced dynamic stress in a bi-material hollow sphere is caused by a sudden temperature rise, sectionally uniformly or nonuniformly distributed over the whole volume of the sphere. An exact and explicit solution is provided. This solution is developed by a method that uses the D'Alembert solution as a basic form of the solution and thereby reduces the boundary and interface conditions in the problem into elementary ordinary differential equations. The integration constants in the solution of the differential equations are determined by a singularity extraction technique that removes those portions that are inadmissible to the wave motion problem from the solution. Numerical materials are presented to confirm the analytic solution.
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