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On the polar nature and invariance properties of a thermomechanical theory for continuum-on-continuum homogenization
Mathematics and Mechanics of Solids ( IF 1.7 ) Pub Date : 2021-03-02 , DOI: 10.1177/1081286521994323
Kranthi K. Mandadapu 1 , B. Emek Abali , Panayiotis Papadopoulos 2
Affiliation  

This paper makes a rigorous case for considering the continuum derived by the homogenization of extensive quantities as a polar medium in which the balances of angular momentum and energy contain contributions due to body couples and couple stresses defined in terms of the underlying microscopic state. The paper also addresses the question of invariance of macroscopic stress and heat flux and form-invariance of the macroscopic balance laws.



中文翻译:

关于连续体上均质化的热力学理论的极性质和不变性

本文提出了一个严格的案例,将大量均质化所得出的连续体视为一种极性介质,在该介质中,角动量和能量的平衡包含由于体耦合和耦合应力而产生的贡献,而该耦合是根据基本微观状态定义的。本文还讨论了宏观应力和热通量的不变性以及宏观平衡定律的形式不变性的问题。

更新日期:2021-03-03
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