Abstract
This chapter examines the properties of a linearized system of equations of a viscous solid with heat conduction. The linearization is first carried out about an inhomogeneous equilibrium state. The linearized model is shown to have a well-defined time evolution under natural hypotheses, with the solution depending continuously on the initial data. The Liapunov functions are determined, and the solutions are shown to decay to the basic equilibrium state if the second variation of the stored energy is uniformly positive.
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© 1997 Springer-Verlag Berlin Heidelberg
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Šilhavý, M. (1997). Dissipation of Energy in Solids. In: The Mechanics and Thermodynamics of Continuous Media. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03389-0_26
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DOI: https://doi.org/10.1007/978-3-662-03389-0_26
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08204-7
Online ISBN: 978-3-662-03389-0
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