FFT based numerical homogenization method for porous conductive materials

FFT based numerical homogenization method for porous conductive materials
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基于FFT的多孔导电材料数值均匀化方法

DOI:
10.1016/j.cma.2020.113160
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发表时间:
2020
影响因子:
7.2
通讯作者:
G. Bonnet
G. Bonnet
中科院分区:
工程技术1区
文献类型:
--
作者:
Q. To;G. Bonnet

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采用傅里叶级数方法求解含空洞导电材料的周期均匀化问题。涉及空洞的问题是无限对比度的特殊情况,其全场解不是唯一的,当使用迭代方案时会导致收敛问题。在本文中,我们重新制定的骨架的温度场的基础上的问题,并推导出一个方程的温度场连接到孔隙边界上的值。基于新方程的迭代方案表明,收敛速度快,在局部场和有效导电性能方面都得到了很好的结果。
The Fourier series method is used to solve the periodic homogenization problem for conductive materials containing voids. The problems involving voids are special cases of infinite contrast whose full field solution is not unique, causing convergence issues when iteration schemes are used. In this paper, we reformulate the problem based on the temperature field in the skeleton and derive an equation where the temperature field is connected to values on the pore boundary. Iteration schemes based on the new equation show that the convergence is fast, yielding good results both in terms of local fields and effective conductive properties.
用于均质化问题的傅立叶加速节点求解器 (FANS)
DOI: 10.1007/s00466-017-1501-5
发表时间: 2017
影响因子: 4.1
作者:
Matthias Leuschner;Felix Fritzen
通讯作者: Felix Fritzen