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Tensorial Minkowski functionals of triply periodic minimal surfaces. [PDF]

open access: yesInterface Focus, 2012
A fundamental understanding of the formation and properties of a complex spatial structure relies on robust quantitative tools to characterize morphology. A systematic approach to the characterization of average properties of anisotropic complex interfacial geometries is provided by integral geometry which furnishes a family of morphological ...
Mickel W, Schröder-Turk GE, Mecke K.
europepmc   +5 more sources

Construction of triply periodic minimal surfaces [PDF]

open access: yesPhilosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 1996
The paper gives a geometrically motivated introduction to two methods of the numerical study of minimal surfaces. One is very classical: Instead of looking for a certain elusive surface, in many cases it is easier to look for the conjugate that together with the given surface gives the Weierstrass complex representation.
Karcher, Hermann, Polthier, Konrad
openaire   +2 more sources

Isotropic porous structure design methods based on triply periodic minimal surfaces

open access: yesMaterials & Design, 2021
Recently, triply periodic minimal surface (TPMS) is emerging as an ideal tool to generate porous structures. Yet, most of the current work only focuses on controlling the elastic modulus by the relative density. For special engineering applications, such
Jiawei Feng   +3 more
doaj   +1 more source

Triply periodic minimal surfaces based honeycomb structures with tuneable mechanical responses

open access: yesVirtual and Physical Prototyping, 2023
We proposed a novel class of honeycomb structures inspired by triply periodic minimal surfaces (TPMS) architecture with tuneable mechanical responses.
Chenxi Peng, Pier Marzocca, Phuong Tran
doaj   +1 more source

High-Throughput Optimal Design of Spacers Using Triply Periodic Minimal Surfaces in BWRO

open access: yesSeparations, 2022
The development of advanced feed spacers under different working conditions can enhance the performance of the reverse osmosis (RO) desalination process.
Qiang Chen, Jiu Luo, Yi Heng
doaj   +1 more source

An optimization case study to design additively manufacturable porous heat sinks based on triply periodic minimal surface (TPMS) lattices

open access: yesCase Studies in Thermal Engineering, 2022
Cellular materials have been widely used in thermal management applications such as heat sinks (HSs) for electronic devices. The topology optimization technique has recently gained interest in designing the topology of HSs with optimized thermal ...
Mohamad Modrek   +4 more
doaj   +1 more source

Parametric design and evaluation of TPMS-like cellular solids

open access: yesMaterials & Design, 2022
Triply periodic minimal surfaces (TPMS) present a starting point for designing infinitely many novel cellular solids, creating the need for a structured approach to their design and evaluation.
Alistair Jones   +3 more
doaj   +1 more source

Tetrahedron-Based Porous Scaffold Design for 3D Printing

open access: yesDesigns, 2019
Tissue repairing has been the ultimate goal of surgery, especially with the emergence of reconstructive medicine. A large amount of research devoted to exploring innovative porous scaffold designs, including homogeneous and inhomogeneous ones, have been ...
Ye Guo, Ke Liu, Zeyun Yu
doaj   +1 more source

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