Triply Periodic Minimal Surfaces – A Novel Design Approach for Lightweight CRC Structures

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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.


Original languageEnglish
Title of host publicationBuilding for the Future
EditorsAlper Ilki, Derya Çavunt, Yavuz Selim Çavunt
PublisherSpringer Science and Business Media B.V.
Number of pages10
ISBN (print)9783031325106
Publication statusPublished - 2023

Publication series

Series Lecture notes in civil engineering
Volume350 LNCE


Titlefib Symposium 2023
SubtitleBuilding for the Future: Durable, Sustainable, Resilient
Duration5 - 7 June 2023
Degree of recognitionInternational event
LocationIstanbul Technical University Süleyman Demirel Cultural Center

External IDs

ORCID /0000-0002-8976-6680/work/142236510
ORCID /0000-0002-1596-7164/work/142255704


ASJC Scopus subject areas


  • carbon reinforced concrete (CRC), crystallographic symmetry, minimal surfaces, triply periodic structures