DOI: 10.7488/ds/3841
title: Tensile properties of 3D projected 4-polytopes: a new class of mechanical metamaterial
title: Tensile properties of 3D projected 4-polytopes: a new class of mechanical metamaterial

description: This data set includes raw data with explantory text and diagrams for the engrXiv preprint, "Tensile properties of 3D projected 4-polytopes: a new class of mechanical metamaterial" by Gabrielis Cerniauskas and Parvez Alam (https://doi.org/10.31224/2850). The abstract for this paper is as follows: In this paper, we explore the mechanical behavior of a new class of mechanical metamaterials based on the 3D projections of 4-dimensional geometries (4-polytopes) subjected to loading in tension. We demonstrate that the specific properties of mechanical metamaterials can be enhanced by more than 4-fold when optimized within a framework powered by an evolutionary algorithm. Optimized metamaterial structures were manufactured using the low-force stereolithography prototyping technique and mechanically tested in tension. The experimental results show that the best-performing metamaterial structure, the 8-cell (tesseract), has specific yield strength and specific stiffness values in a similar range to those of hexagonal honeycombs tested out-of-plane. Nevertheless, the 8-cell structures are also cubically symmetrical and have the same mechanical properties in three orthogonal axes. The effect of structure is quantified by comparing the tensile strength against the Young’s modulus of bulk solid material. We find that the final value of the 8-cell structures exceeds that of the hexagonal honeycomb by 76%. The 5-cell (pentatope) and 16-cell (orthoplex) metamaterials are shown to be more effective in bearing tensile loads than the gyroid structures, while the 24-cell (octaplex) structures exhibit the lowest ratio and possess the least optimal structure-properties relationships. The findings presented in this paper showcase the importance of macro-scale architecture and highlight the potential of 3D projections of 4-polytopes as the basis for a new class of mechanical metamaterials.
description: This data set includes raw data with explantory text and diagrams for the engrXiv preprint, "Compressive properties of parametrically optimised mechanical metamaterials based on 3D projections of 4D geometries" by Gabrielis Cerniauskas and Parvez Alam (https://doi.org/10.31224/2796). Files include: Tension_Simulation_data.XLSX - this file contains stress-strain data for the 3D projected 4-polytope (tensile) simulations, and further information on their apparent and relative densities as computed. Tension_Experimental_data.XLSX - this file contains stress-strain data for the 3D projected 4-polytope (tensile) experiments, and further information on their apparent and relative densities as measured. PNG files showing the evolution of 3D projected 4-polytope for 5, 8, 16 and 24 cell metamaterial structures, specifically: 5cellOpt-0-100percentTension.PNG 8cellOpt-0-100percentTension.PNG 16cellOpt-0-100percentTension.PNG 24cellOpt-0-100percentTension.PNG PNG files describing the sample parameters in diagramatic and tabular form of 3D projected 4-polytope for 5, 8, 16 and 24 cell metamaterial structures, specifically: Sample-parameters.PNG Sample-parameters-Table.PNG Excel files containing raw optimisation data from genetic algorithms of 3D projected 4-polytope detailing geometries for 5, 8, 16 and 24 cell metamaterial structures, specifically: 5cellOptDataTension.XLSX 8cellOptDataTension.XLSX 16cellOptDataTension.XLSX 24cellOptDataTension.XLSX