Modular Construction of Topological Interlocking Blocks—An Algebraic Approach for Resource-Efficient Carbon-Reinforced Concrete Structures
An algebraic approach to the design of resource-efficient carbon-reinforced concrete structures is presented. Interdisciplinary research in the fields of mathematics and algebra on the one hand and civil engineering and concrete structures on the other can lead to fruitful interactions and can contr...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-10-01
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| Series: | Buildings |
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| Online Access: | https://www.mdpi.com/2075-5309/13/10/2565 |
| _version_ | 1797574441625976832 |
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| author | Sascha Stüttgen Reymond Akpanya Birgit Beckmann Rostislav Chudoba Daniel Robertz Alice C. Niemeyer |
| author_facet | Sascha Stüttgen Reymond Akpanya Birgit Beckmann Rostislav Chudoba Daniel Robertz Alice C. Niemeyer |
| author_sort | Sascha Stüttgen |
| collection | DOAJ |
| description | An algebraic approach to the design of resource-efficient carbon-reinforced concrete structures is presented. Interdisciplinary research in the fields of mathematics and algebra on the one hand and civil engineering and concrete structures on the other can lead to fruitful interactions and can contribute to the development of resource-efficient and sustainable concrete structures. Textile-reinforced concrete (TRC) using non-crimp fabric carbon reinforcement enables very thin and lightweight constructions and thus requires new construction strategies and new manufacturing methods. Algebraic methods applied to topological interlocking contribute to modular, reusable, and hence resource-efficient TRC structures. A modular approach to construct new interlocking blocks by combining different Platonic and Archimedean solids is presented. In particular, the design of blocks that can be decomposed into various <i>n</i>-prisms is the focus of this paper. It is demonstrated that the resulting blocks are highly versatile and offer numerous possibilities for the creation of interlocking assemblies, and a rigorous proof of the interlocking property is outlined. |
| first_indexed | 2024-03-10T21:22:36Z |
| format | Article |
| id | doaj.art-7b57ed4e69d743ceb8e1d3e070202aa0 |
| institution | Directory Open Access Journal |
| issn | 2075-5309 |
| language | English |
| last_indexed | 2024-03-10T21:22:36Z |
| publishDate | 2023-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Buildings |
| spelling | doaj.art-7b57ed4e69d743ceb8e1d3e070202aa02023-11-19T15:56:11ZengMDPI AGBuildings2075-53092023-10-011310256510.3390/buildings13102565Modular Construction of Topological Interlocking Blocks—An Algebraic Approach for Resource-Efficient Carbon-Reinforced Concrete StructuresSascha Stüttgen0Reymond Akpanya1Birgit Beckmann2Rostislav Chudoba3Daniel Robertz4Alice C. Niemeyer5Chair of Algebra and Number Theory, RWTH Aachen University, 52062 Aachen, GermanyChair of Algebra and Representation Theory, RWTH Aachen University, 52062 Aachen, GermanyInstitute of Concrete Structures, Technische Universität Dresden, 01069 Dresden, GermanyInstitue of Structural Concrete, RWTH Aachen University, 52062 Aachen, GermanyChair of Algebra and Number Theory, RWTH Aachen University, 52062 Aachen, GermanyChair of Algebra and Representation Theory, RWTH Aachen University, 52062 Aachen, GermanyAn algebraic approach to the design of resource-efficient carbon-reinforced concrete structures is presented. Interdisciplinary research in the fields of mathematics and algebra on the one hand and civil engineering and concrete structures on the other can lead to fruitful interactions and can contribute to the development of resource-efficient and sustainable concrete structures. Textile-reinforced concrete (TRC) using non-crimp fabric carbon reinforcement enables very thin and lightweight constructions and thus requires new construction strategies and new manufacturing methods. Algebraic methods applied to topological interlocking contribute to modular, reusable, and hence resource-efficient TRC structures. A modular approach to construct new interlocking blocks by combining different Platonic and Archimedean solids is presented. In particular, the design of blocks that can be decomposed into various <i>n</i>-prisms is the focus of this paper. It is demonstrated that the resulting blocks are highly versatile and offer numerous possibilities for the creation of interlocking assemblies, and a rigorous proof of the interlocking property is outlined.https://www.mdpi.com/2075-5309/13/10/2565carbon-reinforced concretetextile-reinforced concrete TRCtopological interlockingPlatonic solidsArchimedean solidsconcrete structures |
| spellingShingle | Sascha Stüttgen Reymond Akpanya Birgit Beckmann Rostislav Chudoba Daniel Robertz Alice C. Niemeyer Modular Construction of Topological Interlocking Blocks—An Algebraic Approach for Resource-Efficient Carbon-Reinforced Concrete Structures Buildings carbon-reinforced concrete textile-reinforced concrete TRC topological interlocking Platonic solids Archimedean solids concrete structures |
| title | Modular Construction of Topological Interlocking Blocks—An Algebraic Approach for Resource-Efficient Carbon-Reinforced Concrete Structures |
| title_full | Modular Construction of Topological Interlocking Blocks—An Algebraic Approach for Resource-Efficient Carbon-Reinforced Concrete Structures |
| title_fullStr | Modular Construction of Topological Interlocking Blocks—An Algebraic Approach for Resource-Efficient Carbon-Reinforced Concrete Structures |
| title_full_unstemmed | Modular Construction of Topological Interlocking Blocks—An Algebraic Approach for Resource-Efficient Carbon-Reinforced Concrete Structures |
| title_short | Modular Construction of Topological Interlocking Blocks—An Algebraic Approach for Resource-Efficient Carbon-Reinforced Concrete Structures |
| title_sort | modular construction of topological interlocking blocks an algebraic approach for resource efficient carbon reinforced concrete structures |
| topic | carbon-reinforced concrete textile-reinforced concrete TRC topological interlocking Platonic solids Archimedean solids concrete structures |
| url | https://www.mdpi.com/2075-5309/13/10/2565 |
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