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Heat conduction issue in biperiodic composite using Finite Difference Method

机译:使用有限差分法的BiPeriodic复合材料中的热传导问题

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This note is about a heat conduction issue in relation to the composite structure. The analysed structure consists of evenly distributed cells, made of two materials with different properties. The volume share of the first and the second material in the cell is constant, therefore, the structure of this composite is periodic. The effective material properties of this composite are constant along all directions. The heat conduction equation in case of this type of composite structure and in deterministic description is an equation with noncontinuous components. Therefore it is necessary to apply the method, which allows to modify and replace it, by the averaged equation with constant components. To obtain and analyse the distribution of the temperature in considered periodic composite, Finite Difference Method is used. This method gives the numeric results in the form of point plots of sought unknowns.
机译:本说明是关于复合结构的热传导问题。分析的结构由均匀分布的细胞组成,由两种具有不同性质的材料制成。电池中的第一和第二材料的体积份额是恒定的,因此,该复合材料的结构是周期性的。该复合材料的有效材料特性沿各个方向恒定。在这种类型的复合结构和确定性描述的情况下,导热方程是具有非连续组件的等式。因此,有必要应用允许通过具有恒定组件的平均方程来修改和更换它的方法。为了获得和分析考虑定期复合材料中温度的分布,使用有限差分法。该方法为所寻求未知数的点曲线形式提供数字结果。

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