Question
Asked 30th Mar, 2023

What is the relation between approximate thickness and mid-surface offset parameter of TPMS unit cell and its relative density ?

The mathematical function of TPMS unit cell is as follows: (for example Gyroid)
sin x * cos y+ sin y * cos z+ sin z * cos x = c
parameter 𝑐 determines the relative density of the unit cell.
I am interested to design TPMS unit cell with nTopology software. In this software, TPMS network-based unit cell is designed with "Mid-surface offset" parameter and TPMS sheet-based unit cell is designed with "approximate thickness" parameter.
What is the relation between these parameters and the relative density of the unit cell?

All Answers (2)

Eric Leingang
Karlsruhe Institute of Technology
Neda Rahmat I'm looking for the same relation you are describing, could you find a relation between those?
Sy Nguyen-Van
University of Connecticut
Just for your information, in the current nTop version, it allows users to generate TPMS with approximate thickness.

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