@inproceedings{f1762ab9112a402dba70656c4e24a5eb,
title = "Triply Periodic Minimal Surfaces – A Novel Design Approach for Lightweight CRC Structures",
abstract = "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{\textquoteright} 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.",
keywords = "carbon reinforced concrete (CRC), crystallographic symmetry, minimal surfaces, triply periodic structures",
author = "Sebastian Wiesenhuetter and Tom Goertzen and Iurii Vakaliuk and Manfred Curbach and Silke Scheerer and Niemeyer, \{Alice C.\} and Noennig, \{J{\"o}rg Rainer\}",
note = "Funding Information: The Project is funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – SFB/TRR 280, Project ID 417002380, for which we gratefully acknowledge. The second author was partially supported by the FY2022 JSPS Postdoctoral Fellowship for Research in Japan (Short-term), ID PE22747. Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.; International Symposium of the International Federation for Structural Concrete, fib Symposium 2023 ; Conference date: 05-06-2023 Through 07-06-2023",
year = "2023",
month = jun,
doi = "10.1007/978-3-031-32511-3\_148",
language = "English",
isbn = "978-3-031-32510-6",
series = "Lecture Notes in Civil Engineering",
pages = "1449--1458",
editor = "Alper Ilki and Derya {\c C}avunt and {\c C}avunt, \{Yavuz Selim\}",
booktitle = "Building for the Future: Durable, Sustainable, Resilient",
edition = "1.",
}