论文标题
周期性的菱形细胞，用于对称性的均质均质化和各向同性分代材料
Periodic rhomboidal cells for symmetry-preserving homogenization and isotropic metamaterials
论文作者
论文摘要
在基于子单元定期布置的复合材料的设计和分析中，控制与弹性响应有关的新兴材料对称性至关重要。目标材料对称性在添加剂制造中也起着重要作用。在众多应用中，获得有效的各向同性材料将很有用。尽管这些通常是从随机的微观结构中出现的，但如何以周期性顺序实现各向异性并不明显。我们证明，基于菱形细胞的夹杂物的排列实际上可以保留成分的任何材料对称性，因此在各向同性基质中的各向同性材料的球形夹杂物有效地产生了同型同型的同性恋复合材料。
In the design and analysis of composite materials based on periodic arrangements of sub-units it is of paramount importance to control the emergent material symmetry in relation to the elastic response. The target material symmetry plays also an important role in additive manufacturing. In numerous applications it would be useful to obtain effectively isotropic materials. While these typically emerge from a random microstructure, it is not obvious how to achieve isotropy with a periodic order. We prove that arrangements of inclusions based on a rhomboidal cell that generates the Face-Centered Cubic lattice do in fact preserve any material symmetry of the constituents, so that spherical inclusions of isotropic materials in an isotropic matrix produce effectively isotropic composites.
