Extension of the Voronoi Diagram Algorithm to Orthotropic Space for Material Structural Design
Nowadays, the interaction of additive technologies and methods for designing or optimizing porous structures has yielded good results. Construction with complex microarchitectures can be created using this approach. Varying the microarchitecture leads to changes in weight and mechanical properties....
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-03-01
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| Series: | Biomimetics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2313-7673/9/3/185 |
| _version_ | 1797241903973924864 |
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| author | Pavel Bolshakov Nikita Kharin Alexander Agathonov Evgeniy Kalinin Oskar Sachenkov |
| author_facet | Pavel Bolshakov Nikita Kharin Alexander Agathonov Evgeniy Kalinin Oskar Sachenkov |
| author_sort | Pavel Bolshakov |
| collection | DOAJ |
| description | Nowadays, the interaction of additive technologies and methods for designing or optimizing porous structures has yielded good results. Construction with complex microarchitectures can be created using this approach. Varying the microarchitecture leads to changes in weight and mechanical properties. However, there are problems with geometry reconstruction when dealing with complex microarchitecture. One approach is to use Voronoi cells for geometry reconstruction. In this article, an extension of the Voronoi diagram algorithm to orthotropic space for material structural design is presented. The inputs for the method include porosity, ellipticity, and ellipticity direction fields. As an example, a beam with fixed end faces and center kinematic loading was used. To estimate robust results for different numbers of clusters, 50, 75, and 100 clusters are presented. The porosity for smoothed structures ranged from 21.5% up to 22.8%. The stress–strain state was determined for the resulting structures. The stiffness for the initial and smoothed structures was the same. However, in the case of 75 and 100 clusters, local stress factors appeared in the smoothed structure. The maximum von Mises stress decreased by 20% for all smoothed structures in the area of kinematic loading and increased by 20% for all smoothed structures in the area of end faces. |
| first_indexed | 2024-04-24T18:30:44Z |
| format | Article |
| id | doaj.art-ee85917ebfcd469a893d143c6c111fed |
| institution | Directory Open Access Journal |
| issn | 2313-7673 |
| language | English |
| last_indexed | 2024-04-24T18:30:44Z |
| publishDate | 2024-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Biomimetics |
| spelling | doaj.art-ee85917ebfcd469a893d143c6c111fed2024-03-27T13:27:44ZengMDPI AGBiomimetics2313-76732024-03-019318510.3390/biomimetics9030185Extension of the Voronoi Diagram Algorithm to Orthotropic Space for Material Structural DesignPavel Bolshakov0Nikita Kharin1Alexander Agathonov2Evgeniy Kalinin3Oskar Sachenkov4Institute of Mathematics and Mechanics, Kazan Federal University, 420008 Kazan, RussiaInstitute of Mathematics and Mechanics, Kazan Federal University, 420008 Kazan, RussiaInstitute of Mathematics and Mechanics, Kazan Federal University, 420008 Kazan, RussiaInstitute of Mathematics and Mechanics, Kazan Federal University, 420008 Kazan, RussiaInstitute of Mathematics and Mechanics, Kazan Federal University, 420008 Kazan, RussiaNowadays, the interaction of additive technologies and methods for designing or optimizing porous structures has yielded good results. Construction with complex microarchitectures can be created using this approach. Varying the microarchitecture leads to changes in weight and mechanical properties. However, there are problems with geometry reconstruction when dealing with complex microarchitecture. One approach is to use Voronoi cells for geometry reconstruction. In this article, an extension of the Voronoi diagram algorithm to orthotropic space for material structural design is presented. The inputs for the method include porosity, ellipticity, and ellipticity direction fields. As an example, a beam with fixed end faces and center kinematic loading was used. To estimate robust results for different numbers of clusters, 50, 75, and 100 clusters are presented. The porosity for smoothed structures ranged from 21.5% up to 22.8%. The stress–strain state was determined for the resulting structures. The stiffness for the initial and smoothed structures was the same. However, in the case of 75 and 100 clusters, local stress factors appeared in the smoothed structure. The maximum von Mises stress decreased by 20% for all smoothed structures in the area of kinematic loading and increased by 20% for all smoothed structures in the area of end faces.https://www.mdpi.com/2313-7673/9/3/185structural designporous constructionsstructural materialorthotropic materialVoronoi diagram |
| spellingShingle | Pavel Bolshakov Nikita Kharin Alexander Agathonov Evgeniy Kalinin Oskar Sachenkov Extension of the Voronoi Diagram Algorithm to Orthotropic Space for Material Structural Design Biomimetics structural design porous constructions structural material orthotropic material Voronoi diagram |
| title | Extension of the Voronoi Diagram Algorithm to Orthotropic Space for Material Structural Design |
| title_full | Extension of the Voronoi Diagram Algorithm to Orthotropic Space for Material Structural Design |
| title_fullStr | Extension of the Voronoi Diagram Algorithm to Orthotropic Space for Material Structural Design |
| title_full_unstemmed | Extension of the Voronoi Diagram Algorithm to Orthotropic Space for Material Structural Design |
| title_short | Extension of the Voronoi Diagram Algorithm to Orthotropic Space for Material Structural Design |
| title_sort | extension of the voronoi diagram algorithm to orthotropic space for material structural design |
| topic | structural design porous constructions structural material orthotropic material Voronoi diagram |
| url | https://www.mdpi.com/2313-7673/9/3/185 |
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