Heat Conduction of Micropolar Solids Sensitive to Mirror Reflections of Three-Dimensional Space

E. Murashkin, Y. Radayev
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Abstract

This article considers a variant of the heat conduction theory of thermal conductivity, in which the heat flux pseudovector has a weight of 1. The pseudoinvariants associated to the heat flux pseudovector are sensitive to mirror reflections and inversions of threedimensional space. The primary purpose of the study was to find a heat flux vector that is algebraically equivalent to the microrotation pseudovector and to measure elementary volumes and areas using pseudoinvariants that are sensitive to mirror reflections. To represent spinor displacements, a contravariant microrotation pseudovector with a weight of +1 was selected. Thus, the heat flux and mass density were expressed as odd-weight pseudotensors. The Helmholtz free energy per unit doublet pseudoinvariant volume was employed as the thermodynamic state potential of the following functional arguments: absolute temperature, symmetric parts, and accompanying vectors for the linear asymmetric strain tensor and the wryness pseudotensor. The results obtained show that the thermal conductivity coefficient and heat capacity of elastic micropolar solids are pseudoscalars of odd weight, indicating their sensitivity to mirror reflections.
对三维空间镜面反射敏感的微极性固体的热传导
与热通量伪向量相关的伪变量对三维空间的镜面反射和倒转很敏感。这项研究的主要目的是找到一个在代数上等同于微旋转伪向量的热通量向量,并利用对镜面反射敏感的伪变量来测量基本体积和面积。为了表示旋量位移,我们选择了权重为 +1 的协变微自转伪向量。因此,热通量和质量密度用奇数权重伪张量表示。采用单位双特伪不变体积的赫尔姆霍兹自由能作为以下函数论点的热力学状态势能:绝对温度、对称部分以及线性不对称应变张量和脆性伪张量的伴随向量。研究结果表明,弹性微波固体的导热系数和热容量是奇重的伪斯科尔斯,表明它们对镜面反射的敏感性。
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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