Abstract
There are two classes of isotropic bodies: isotropic solids and fluids. In the thermodynamics of isotropic solids, there is a new issue in comparison with the isothermal case: the natural (unstressed) state depends on temperature. This calls for a treatment in which the stressed isotropic states are given the same status as the unstressed ones, and it is given below. For instance, Lamé’s moduli are defined for general (possibly stressed) isotropic states. A compatibility relation for them is derived, and a free energy function is constructed fitting given (‘experimentally determined’) dependencies of the Lamé moduli on temperature and specific volume.
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© 1997 Springer-Verlag Berlin Heidelberg
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Šilhavý, M. (1997). The Equilibrium Response of Isotropic Bodies. 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_12
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DOI: https://doi.org/10.1007/978-3-662-03389-0_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08204-7
Online ISBN: 978-3-662-03389-0
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