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Variational methods, bounds and size effects for two-phase composites with coupled heat and mass transport processes at the two-phase interface

机译:在两相界面处耦合传热和传质过程的两相复合材料的变分方法,边界和尺寸效应

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摘要

New variational principles are developed for the effective heat conductivity tensor of aniso- tropic two-phase composites in the presence of coupled mass and heat transport processes at the two-phase interface. We focus on physical situations where an imposed temperature gradient causes impurities or lattice defects to concentrate on the two-phase interface and diffuse along it. This is accompanied by the release and absorption of heat as the impurities, respectively, enter or leave the interface. We investigate the effect of the inclusion geometry on the overall thermal conductivity. For randomly distributed inclusions new size effects are given in terms of the inclusion size distribution and nearest neighbor distribution function for the included phase.
机译:在两相界面处存在传质和传热过程耦合的情况下,为各向异性两相复合材料的有效导热系数张量开发了新的变分原理。我们关注的是物理环境,其中施加的温度梯度导致杂质或晶格缺陷集中在两相界面上并沿其扩散。当杂质分别进入或离开界面时,伴随着热量的释放和吸收。我们研究了夹杂物几何形状对整体热导率的影响。对于随机分布的夹杂物,在夹杂物相的夹杂物尺寸分布和最近邻分布函数方面给出了新的尺寸效应。

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