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Maximum and Minimum Properties of the Temperature Within the Dynamic Theory

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Heat Conduction Within Linear Thermoelasticity

Part of the book series: Springer Tracts in Natural Philosophy ((STPHI,volume 30))

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Abstract

The considerations of Chapter 2 tell us that, within the quasi-static theory of thermoelasticity which is obtained by omitting the inertial term b∂2u/∂t2 from the thermoelastic equation (1.1.2), the temperature does not satisfy the classical Maximum Principle. The same is true, with even greater force, of the dynamic theory, that is the theory which results when the inertial term is retained and the full thermoelastic equations (1.1.1) and (1.1.2) are used to determine the temperature.

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© 1985 Springer-Verlag New York Inc.

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Day, W.A. (1985). Maximum and Minimum Properties of the Temperature Within the Dynamic Theory. In: Heat Conduction Within Linear Thermoelasticity. Springer Tracts in Natural Philosophy, vol 30. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9555-3_5

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  • DOI: https://doi.org/10.1007/978-1-4613-9555-3_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-9557-7

  • Online ISBN: 978-1-4613-9555-3

  • eBook Packages: Springer Book Archive

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