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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 265))

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Abstract

The objective of this chapter is to present the balance laws for the thermomechanical theory. Specifically, the balances of entropy and energy are presented and different forms of second law of thermodynamics are discussed. Invariance under Superposed Rigid Body Motions (SRBM) is considered for the new thermal quantities and thermal constraints on material response are discussed. In addition, specific nonlinear constitutive equations are presented for a number of materials modeling: thermoelastic, thermoelastic–inelastic and porous responses. Also, constitutive equations for growth of thermoelastic–inelastic biological tissues are presented.

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Rubin, M.B. (2021). Thermomechanical Theory. In: Continuum Mechanics with Eulerian Formulations of Constitutive Equations. Solid Mechanics and Its Applications, vol 265. Springer, Cham. https://doi.org/10.1007/978-3-030-57776-6_6

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  • DOI: https://doi.org/10.1007/978-3-030-57776-6_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-57775-9

  • Online ISBN: 978-3-030-57776-6

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