A study of energy in thermoelastic diffusion theory for Cosserat media

IF 3 4区工程技术 Q3 MECHANICS

Continuum Mechanics and Thermodynamics Pub Date : 2026-07-08 DOI:10.1007/s00161-026-01503-2

Stefan Pirlog, Marin Marin, Octavia Hapenciuc

引用次数: 0

Abstract

In our study we approach some energy considerations in the theory of thermoelastic diffusion for Cosserat bodies. After defining the mixed problem in this context, that is, the motion equations, the initial values and the boundary conditions, we introduce the Cesaro means for different components of energy, attached to a solution to this problem. In our main result, we show that the strain energy becomes equal, in mean, to the kinetic energy, as \(t\rightarrow \infty \), that is, we have an asymptotic partition, in mean, of the two important components of energy.

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Cosserat介质热弹性扩散理论中的能量研究

在我们的研究中，我们探讨了热弹性扩散理论中对能量的一些考虑。在定义了这种情况下的混合问题，即运动方程，初始值和边界条件之后，我们引入了不同能量分量的Cesaro均值，并附加到该问题的解中。在我们的主要结果中，我们表明，应变能平均等于动能，如\(t\rightarrow \infty \)，也就是说，我们平均有两个重要的能量分量的渐近分配。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Continuum Mechanics and Thermodynamics 物理-力学

CiteScore

5.30

自引率

15.40%

发文量

审稿时长

>12 weeks

期刊介绍： This interdisciplinary journal provides a forum for presenting new ideas in continuum and quasi-continuum modeling of systems with a large number of degrees of freedom and sufficient complexity to require thermodynamic closure. Major emphasis is placed on papers attempting to bridge the gap between discrete and continuum approaches as well as micro- and macro-scales, by means of homogenization, statistical averaging and other mathematical tools aimed at the judicial elimination of small time and length scales. The journal is particularly interested in contributions focusing on a simultaneous description of complex systems at several disparate scales. Papers presenting and explaining new experimental findings are highly encouraged. The journal welcomes numerical studies aimed at understanding the physical nature of the phenomena. Potential subjects range from boiling and turbulence to plasticity and earthquakes. Studies of fluids and solids with nonlinear and non-local interactions, multiple fields and multi-scale responses, nontrivial dissipative properties and complex dynamics are expected to have a strong presence in the pages of the journal. An incomplete list of featured topics includes: active solids and liquids, nano-scale effects and molecular structure of materials, singularities in fluid and solid mechanics, polymers, elastomers and liquid crystals, rheology, cavitation and fracture, hysteresis and friction, mechanics of solid and liquid phase transformations, composite, porous and granular media, scaling in statics and dynamics, large scale processes and geomechanics, stochastic aspects of mechanics. The journal would also like to attract papers addressing the very foundations of thermodynamics and kinetics of continuum processes. Of special interest are contributions to the emerging areas of biophysics and biomechanics of cells, bones and tissues leading to new continuum and thermodynamical models.