Karlsruhe Institute of Technology

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)

Neda Rahmat I'm looking for the same relation you are describing, could you find a relation between those?