Abstract
In this chapter the energy and entropy balance laws for a Cosserat continuum are presented. It is shown that the higher-order continuum introduces additional terms in the local dissipation of a system.
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References
Truesdell, C., & Toupin, R. A. (1960). The classical field theories. In S. Flügge (Ed.), Principles of thermodynamics and statistics. Springer.
Duhem, P. Commentaire aux principes de Ia thermodynamique, Premiere partie. Journal de Mathématiques Pures et Appliquées, 8 (4) , 269–330.
Becker, E., & Bürger, W. (1975). Kontinuumsmechanik. In H. Görtler (Ed.), Leitfäden der angewandten Mathematik und Mechanik (vol. 229). Springer.
Mindlin, R. D. (1964). Microstructure in linear elasticity. Archive for Rational Mechanics and Analysis, 16, 51–78.
Vardoulakis, I., & Giannakopoulos, A. E. (2006). An example of double forces taken from structural analysis. International Journal of Solids and Structures, 43, 4047–4062.
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Vardoulakis, I. (2019). Cosserat Continuum Energetics. In: Cosserat Continuum Mechanics . Lecture Notes in Applied and Computational Mechanics, vol 87. Springer, Cham. https://doi.org/10.1007/978-3-319-95156-0_6
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DOI: https://doi.org/10.1007/978-3-319-95156-0_6
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