论文标题
螺旋形高对比度分层材料的同质化
Homogenisation of spirally-wound high-contrast layered materials
论文作者
论文摘要
渐近均质化用于系统地得出螺旋扭曲的分层材料中的导电行为的降低宏观模型，其中层具有非常不同的电导率。问题是由于需要简化锂离子细胞的电和热行为模型的模型，这是指高度导电金属电流收集器和相对较差的导电电极。我们识别并研究了三个区别的限制，然后描述了两个复合模型，每个模型都提供了一个均匀的近似值，涵盖了两个区别限制。我们将各种还原模型的结果与详细几何形状上的完整模型的计算进行比较，以指导近似值的准确性。
Asymptotic homogenisation is used to systematically derive reduced-order macroscopic models of conductive behaviour in spirally-wound layered materials in which the layers have very different conductivities. The problem is motivated by the need for simplified models of the electrical and thermal behaviour of lithium-ion cells, accounting for the highly conductive metallic current collectors and relatively poorly conductive electrodes. We identify and study three distinguished limits, and then describe two composite models which each provide a uniform approximation spanning two distinguished limits. We compare the results of the various reduced-order models with calculations of the full model on a detailed geometry to give a guide to the accuracy of the approximations.
