Mechanics & Civil Engineering |
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Theoretical solution of a spherically isotropic hollow sphere for dynamic thermoelastic problems |
WANG Hui-ming, DING Hao-jiang, CHEN Wei-qiu |
Department of Mechanics, Zhejiang University, Hangzhou 310027, China; Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China |
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Abstract The separation of variables method was successfully used to resolve the spherically symmetric dynamic thermoelastic problem for a spherically isotropic elastic hollow sphere. Use of the integral transform can be avoided by means of this method, which is also appropriate for an arbitrary thickness hollow sphere subjected to arbitrary thermal and mechanical loads. Numerical results are presented to show the dynamic stress responses in the uniformly heated hollow spheres.
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Received: 18 November 2001
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