Abstract
This paper is intended to serve as a blueprint for the first few chapters of future textbooks on continuum mechanics and continuum thermomechanics. It gives precise intrinsic formulation of the laws of balance of forces and torques, balance of energy, and the concepts of temperature and entropy. They are intrinsic in the sense that they do not involve external frames of reference such as a “physical space”. In the end, an intrinsic reduced dissipation inequality is derived, which plays a crucial role in formulating frame-free constitutive laws.
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Noll, W., Seguin, B. Basic Concepts of Thermomechanics. J Elast 101, 121–151 (2010). https://doi.org/10.1007/s10659-010-9253-x
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DOI: https://doi.org/10.1007/s10659-010-9253-x