Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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On variational principles in thermoelasticity and heat conduction


Author: G. Herrmann
Journal: Quart. Appl. Math. 21 (1963), 151-155
DOI: https://doi.org/10.1090/qam/161512
MathSciNet review: 161512
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Abstract | References | Additional Information

Abstract: The variational principles for displacements, for stresses and for both displacements and stresses in isothermal elasticity are extended to the coupled processes of thermoelasticity and heat conduction in a three-dimensional, anisotropic body. The character of these principles is examined and it is established that in a stable system one is concerned with a minimum, a maximum and a stationary value problem, respectively.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/qam/161512
Article copyright: © Copyright 1963 American Mathematical Society


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