Chwał Małgorzata, Muc Aleksander
Institute of Machine Design, Cracow University of Technology, 31-155 Cracow, Poland.
Materials (Basel). 2019 May 7;12(9):1474. doi: 10.3390/ma12091474.
The application of numerical homogenization and optimization in the design of micro- and nanocomposite reinforcement is presented. The influence of boundary conditions, form of a representative volume element, shape and distribution of reinforcement are distinguished as having the crucial influence on a design of the reinforcement. The paper also shows that, in the optimization problems, the distributions of any design variables can be expressed by -dimensional curves. It applies not only to the tasks of optimizing the shape of the edge of the structure or its mid-surface but also dimensional optimization or topology/material optimization. It is shown that the design of reinforcement may be conducted in different ways and 2D approaches may be expanding to 3D cases.
介绍了数值均匀化和优化在微纳复合增强材料设计中的应用。区分了边界条件、代表性体积单元的形式、增强材料的形状和分布对增强材料设计的关键影响。本文还表明，在优化问题中，任何设计变量的分布都可以用一维曲线表示。它不仅适用于优化结构边缘或中面形状的任务，也适用于尺寸优化或拓扑/材料优化。结果表明，增强材料的设计可以采用不同的方法，二维方法可能会扩展到三维情况。
