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Mechanics of Topological High-Entropy Structures Made Out of ‘Einstein’ Puzzle Pieces
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Version 1
: Received: 18 July 2024 / Approved: 18 July 2024 / Online: 19 July 2024 (08:10:12 CEST)
How to cite: Sun, B. H.; Guo, X. L. Mechanics of Topological High-Entropy Structures Made Out of ‘Einstein’ Puzzle Pieces. Preprints 2024, 2024071532. https://doi.org/10.20944/preprints202407.1532.v1 Sun, B. H.; Guo, X. L. Mechanics of Topological High-Entropy Structures Made Out of ‘Einstein’ Puzzle Pieces. Preprints 2024, 2024071532. https://doi.org/10.20944/preprints202407.1532.v1
Abstract
People have always hoped to be able to fill an entire plane with ``single unit cells'' without periodicity. This wish was realized after the mathematician discovered a 13-sided ``single unit cell'' named `einstein'. These non-periodic tessellations generally exhibit anisotropic properties, making them superior in terms of mechanical performance compared to periodic structures. From the perspective of information entropy, the reason behind the improved mechanical properties of these structures is the higher entropy associated with non-periodic configurations. To quantify the disorder of non-periodic structures, we propose an entropy expression for the `einstein' metamaterial. To demonstrate the mechanical properties of these high-entropy structures, we fabricate specimens using 3D printing and conducte mechanical experiments. For comparative analysis, we also use ABAQUS to perform finite element analysis of the problem. The research results reveal that the mechanical properties of high-entropy structures created by the non-periodic stacking of cells are significantly improved compared to those of low-entropy structures created by periodic stacking. The conclusions drawn from the study of individual issues are generalizable and may be of assistance in future material and structural design. \end{abstract}
Keywords
monotile; einstein; metamaterials; entropy; disorder; strength of materials
Subject
Physical Sciences, Applied Physics
Copyright: 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.
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