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Design of Reinforcement in Nano- and Microcomposites

Institute of Machine Design, Cracow University of Technology, 31-155 Cracow, Poland
Author to whom correspondence should be addressed.
Materials 2019, 12(9), 1474;
Received: 18 April 2019 / Revised: 30 April 2019 / Accepted: 2 May 2019 / Published: 7 May 2019
(This article belongs to the Special Issue Optimal Design of Materials and Structures)
PDF [4113 KB, uploaded 7 May 2019]


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 n-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. View Full-Text
Keywords: optimization; homogenization; microcomposites; nanocomposites; FEA; evolutionary algorithms; the shape of the reinforcement optimization; homogenization; microcomposites; nanocomposites; FEA; evolutionary algorithms; the shape of the reinforcement

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Chwał, M.; Muc, A. Design of Reinforcement in Nano- and Microcomposites. Materials 2019, 12, 1474.

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