Soft magnetic composites (SMCs) possess promising electromagnetic characteristics and attract intense research and application interest in the engineering community. Fabrication of composites with customized architecture is feasible due to the recent advances in additive manufacturing techniques. The systematic progress of computational optimization has opened up the possibility of devising such structures. This article aims to optimally design the shape of inclusion in SMCs. Their advantages are potentially high magnetic permeability and low eddy current losses at a certain volume fraction of the iron material. The shape derivative is calculated for the descent direction and the level-set method is used to evolve the domain. We implement the algorithm in 2-D space considering the linear magnetic behavior of iron. In this article, the objective is the effective magnetic permeability at a given volume fraction of inclusion for magnetostatics.

中文翻译：

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水平集法优化软磁复合材料的形状

软磁复合材料（SMC）具有良好的电磁特性，在工程界引起了广泛的研究和应用兴趣。由于增材制造技术的最新进展，具有定制结构的复合材料的制造是可行的。计算优化的系统进展为设计此类结构开辟了可能性。本文旨在优化设计SMC中夹杂物的形状。它们的优点是在铁材料的一定体积分数下可能具有较高的磁导率和较低的涡流损耗。计算下降方向的形状导数，并使用水平集方法来演化域。考虑到铁的线性磁行为，我们在二维空间中实现该算法。在本文中，