On Dynamics and Thermodynamics of Moving Media

2023/11/27 by Anna Duyunova, Duyunova, Anna, Valentin Lychagin +3
Engineering · #58J37 #76S05 #Elasticity and Material Modeling #Elasticity and Wave Propagation #FOS: Physical sciences #Mathematical Physics (math-ph) #Thermoelastic and Magnetoelastic Phenomena

paper · pdf · doi:10.48550/arxiv.2311.15938

openalex publication_date 2023/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper recent results regarding generalized continuum mechanics on oriented Riemannian manifolds are reviewed and summarized. The mass, the momentum and the energy conservation laws are given. Thermodynamics arising in such media is also considered as a Lagrangian manifold endowed with a Riemannian structure. Thermodynamic model of moving media takes into account deformation and stress arising in a media in motion.

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