A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Triply Periodic Minimal Surfaces – A Novel Design Approach for Lightweight CRC Structures
https://orcid.org/http://orcid.org/0000-0002-9828-5053
https://orcid.org/http://orcid.org/0009-0003-3399-3416
https://orcid.org/http://orcid.org/0000-0002-6305-1644
https://orcid.org/http://orcid.org/0000-0002-1596-7164
https://orcid.org/http://orcid.org/0000-0002-8976-6680
https://orcid.org/http://orcid.org/0000-0002-2163-3240
https://orcid.org/http://orcid.org/0000-0002-1681-7635
Triply periodic minimal surfaces (TPMS) are studied in material sciences because they have a high stiffness to weight ratio and variable relative density. However, their use in the design of building components at large scales has not been fully explored. This is partly due to their complex nature and the resulting difficult integration into the design process. In this paper, we therefore briefly discuss the state of the art and mathematical approaches for generation of TPMS and propose a digital design process controlling the main parameters of surface type and relative density. Performing a preliminary mechanical analysis for the Gyroid, Schwarz D and Lidinoid surfaces, we compare these parameters’ influence on the stiffness to density ratio within a hollow thin-walled concrete slab under consideration of possible 3D-printing with concrete.
While the classification of TPMS poses an open mathematical problem, they offer a huge repertoire of potential structures and a valuable design tool for lightweight carbon reinforced concrete structures.
Triply Periodic Minimal Surfaces – A Novel Design Approach for Lightweight CRC Structures
https://orcid.org/http://orcid.org/0000-0002-9828-5053
https://orcid.org/http://orcid.org/0009-0003-3399-3416
https://orcid.org/http://orcid.org/0000-0002-6305-1644
https://orcid.org/http://orcid.org/0000-0002-1596-7164
https://orcid.org/http://orcid.org/0000-0002-8976-6680
https://orcid.org/http://orcid.org/0000-0002-2163-3240
https://orcid.org/http://orcid.org/0000-0002-1681-7635
Triply periodic minimal surfaces (TPMS) are studied in material sciences because they have a high stiffness to weight ratio and variable relative density. However, their use in the design of building components at large scales has not been fully explored. This is partly due to their complex nature and the resulting difficult integration into the design process. In this paper, we therefore briefly discuss the state of the art and mathematical approaches for generation of TPMS and propose a digital design process controlling the main parameters of surface type and relative density. Performing a preliminary mechanical analysis for the Gyroid, Schwarz D and Lidinoid surfaces, we compare these parameters’ influence on the stiffness to density ratio within a hollow thin-walled concrete slab under consideration of possible 3D-printing with concrete.
While the classification of TPMS poses an open mathematical problem, they offer a huge repertoire of potential structures and a valuable design tool for lightweight carbon reinforced concrete structures.
Triply Periodic Minimal Surfaces – A Novel Design Approach for Lightweight CRC Structures
https://orcid.org/http://orcid.org/0000-0002-9828-5053
https://orcid.org/http://orcid.org/0009-0003-3399-3416
https://orcid.org/http://orcid.org/0000-0002-6305-1644
https://orcid.org/http://orcid.org/0000-0002-1596-7164
https://orcid.org/http://orcid.org/0000-0002-8976-6680
https://orcid.org/http://orcid.org/0000-0002-2163-3240
https://orcid.org/http://orcid.org/0000-0002-1681-7635
Triply periodic minimal surfaces (TPMS) are studied in material sciences because they have a high stiffness to weight ratio and variable relative density. However, their use in the design of building components at large scales has not been fully explored. This is partly due to their complex nature and the resulting difficult integration into the design process. In this paper, we therefore briefly discuss the state of the art and mathematical approaches for generation of TPMS and propose a digital design process controlling the main parameters of surface type and relative density. Performing a preliminary mechanical analysis for the Gyroid, Schwarz D and Lidinoid surfaces, we compare these parameters’ influence on the stiffness to density ratio within a hollow thin-walled concrete slab under consideration of possible 3D-printing with concrete.
While the classification of TPMS poses an open mathematical problem, they offer a huge repertoire of potential structures and a valuable design tool for lightweight carbon reinforced concrete structures.
Triply Periodic Minimal Surfaces – A Novel Design Approach for Lightweight CRC Structures
Lecture Notes in Civil Engineering
Ilki, Alper (editor) / Çavunt, Derya (editor) / Çavunt, Yavuz Selim (editor) / Wiesenhuetter, Sebastian (author) / Goertzen, Tom (author) / Vakaliuk, Iurii (author) / Curbach, Manfred (author) / Scheerer, Silke (author) / Niemeyer, Alice C. (author) / Noennig, Jörg Rainer (author)
International Symposium of the International Federation for Structural Concrete ; 2023 ; Istanbul, Türkiye
2023-06-03
10 pages
Article/Chapter (Book)
Electronic Resource
English
Effective conductivities and elastic moduli of novel foams with triply periodic minimal surfaces
| British Library Online Contents | 2016
Effective conductivities and elastic moduli of novel foams with triply periodic minimal surfaces
| British Library Online Contents | 2016
Effective conductivities and elastic moduli of novel foams with triply periodic minimal surfaces
| British Library Online Contents | 2016