A Betti-Rayleigh theorem for elastic bodies exhibiting temperature dependent properties |
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| Authors: | Jerzy Nowinski |
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| Affiliation: | (1) Mathematics Research Center, University of Wisconsin, Wisconsin, USA |
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| Abstract: | Summary The reciprocal theorem of Betti and Rayleigh is extended to thermoelastic problems concerning temperature dependent properties of the bodies. Illustrative examples are solved concerning extension and flexural rotation of a bar, change of volume of a body without and with a cavity, and the thermoelastic displacement. This work has been sponsored by the United States Army under contract No. DA-11-022-ORD-2059. |
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