Parametric Voronoi Domain

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About this Block

The Parametric Voronoi Domain block creates an FE Domain, parameterized with design parameters for a Voronoi lattice with variable cell size and lattice thickness. The block uses an FE Solid Mesh as an input Mesh. After field optimization, it will apply optimized values for the lattice thickness and cell size to the design space. The Parametric Voronoi lattices use a theoretical relationship between the relative density of an open-celled foam and the resulting mechanical properties. Common uses:

• This block is an input to the Parametric FE Model block.

Once the Parametric Voronoi Domain is generated, a HUD appears in the Viewport with several options for visualizing the results.

• Implicit View - allows you to view the resulting geometry.
• Property Fields - allows a user to view the mechanical properties of the structure across the design space before performing field optimization.
• State Fields - allows a user to view values of the design parameters across the design space before performing the field optimization.

Tips:

• The cell size is the average spacing between the center points of the Voronoi lattice.
• You can use the initial value inputs to the domain blocks in 2 ways:
  • Adjust the Initial Beam Thickness and the Initial Cell Size to view the geometry generated for the upper/lower bounds to ensure printability before running a field optimization.
  • The starting point from which the optimization continues.

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Example File

Download Example: Parametric Voronoi Domain

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FE Mesh, Isotropic Material, Scalar Field, Scalar Field, Scalar Field, Scalar Field, Scalar Field, Scalar Field, Scalar Field

Create a Parametric FE Domain for a Voronoi Lattice with the following design parameters: cell size and beam thickness. The material model is homogenization-based so the model accuracy will improve as the cell size is reduced.

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Inputs

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Outputs

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FE Mesh, Isotropic Material, Scalar Field, Scalar Field, Scalar Field, Scalar Field, Scalar Field, Scalar Field, Scalar Field, 1.1.0

Create a Parametric FE Domain for a Voronoi Lattice with the following design parameters: cell size and beam thickness. The material model is homogenization-based so the model accuracy will improve as the cell size is reduced.

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Inputs

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Outputs