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.
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This work has been sponsored by the United States Army under contract No. DA-11-022-ORD-2059.
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Nowinski, J. A Betti-Rayleigh theorem for elastic bodies exhibiting temperature dependent properties. Appl. sci. Res. 9, 429 (1960). https://doi.org/10.1007/BF00382220
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DOI: https://doi.org/10.1007/BF00382220