2.1.9. Triply Periodic Minimal Surface RVEs

Triply Periodic Minimal Surface (TPMS) RVEs consist of thickened minimal surfaces that repeat periodically in three directions. These kinds of structures are often used as infill in additive manufacturing.

Material Designer allows you to generate Gyroid and Schwarz P RVEs.

Figure 2.14: TPMS Geometry Options

TPMS Geometry Options

  • Type: The type of underlying minimal surface:

    • Gyroid

    • Schwarz P

  • Volume Fraction: The fraction of space within the RVE that is filled with material.

  • Size: The size of the unit cell.

  • Repeat Count: The number of times the unit cell is repeated in each coordinate direction.


Note:  To avoid geometry and mesh generation issues, the RVE is generated from a translated minimal surface for the Gyroid RVE for volume fractions below 10% as well as fractions between 65% and 75%. This should not affect the computed properties when using periodic boundary conditions (which are recommended for the Gyroid).