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An Invariance Principle for Dynamical Systems on Banach Space: Application to the General Problem of Thermoelastic Stability

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Instability of Continuous Systems

Abstract

Elastic stability is usually discussed from strictly mechanical considerations. Recently, however, attempts have been made to analyze the influence of the usually neglected thermodynamics properties of elastic materials. More specifically, one may ask what effects the second law of thermodynamics has on the asymptotic stability of equilibrium of thermoelastic materials.

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© 1971 Springer-Verlag, Berlin/Heidelberg

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Slemrod, M., Infante, E.F. (1971). An Invariance Principle for Dynamical Systems on Banach Space: Application to the General Problem of Thermoelastic Stability. In: Leipholz, H. (eds) Instability of Continuous Systems. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65073-4_30

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  • DOI: https://doi.org/10.1007/978-3-642-65073-4_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-65075-8

  • Online ISBN: 978-3-642-65073-4

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