Cellular Structures model parameters
Instructions for using the Synthesizer tool's Cellular Structures model.
Cellular Structures are hybrids of a solid and a gas. The Cellular Structures model predicts the performance of three main types of cellular solid: foams (open-cell and closed-cell), honeycombs (extruded and expanded), and triangulated lattices. These can either be used on their own or integrated into sandwich panels as a core material, where they are frequently used to reduce weight or increase thermal insulation characteristics.
Foams are made by expanding polymers, metals, ceramics or glasses with a foaming agent - a generic term for introducing a gas. An idealized unit cell for an open-celled low-density foam is shown below. It has solid cell edges surrounding a void containing a gas or fluid. In closed-cell foams, continuous cell walls form between the cell edges. When a load is applied to a foam, the cell walls bend.

When a load is applied to a triangulated lattice structure, the cell edges stretch instead of bend, resulting in a stiffer and stronger structure than equivalent foams of the same density. A triangulated lattice structure and its unit cell are shown below. Lattice structures are generally more difficult to manufacture than foams. On a large scale (strut length = meters) they are manufactured by assembling individual struts. On a smaller scale, they can be produced by casting or additive manufacturing.

Honeycombs are anisotropic and therefore the properties are dependent on the direction, generally either through-thickness or in-plane. For expanded honeycombs (where a third of the cell faces have double thickness), there is an additional degree of anisotropy within the plane. The through-thickness properties are generally of more interest as they are the important ones when honeycombs are used as core material for a sandwich panel. The in-plane mechanical properties tend to be bending-dominated while the through-thickness properties are stretch-dominated.

| Section | Parameter | Description |
|---|---|---|
| Honeycomb Type | Only applies to Honeycomb structures, can be Extruded or Expanded. | |
| Source Records | Bulk Material | Set the Material record that is used in the structure. |
| Model Variables | Relative Density | This can be entered as either:
|
| Model Variables | Number of values | When a range is specified, the number of relative densities must also be specified. |
| Model Parameters | Relative flaw size (l/a) | Where l = average cell size and a = maximum flaw size in the bulk material. The default value is 10. This parameter is used to calculate the fracture toughness of the material. |
| Model Parameters | Proportion of material in the cell faces, (1-φ) | Only applies to closed-cell foam structures. The relative percentage of the bulk material in the cell faces (φ giving the proportion in the cell walls). It defaults to a typical value of 20%. As with the relative density variable, a single value, list or range can be entered. |
| Model Parameters | Thermal conductivity of gas in cells | Only applies to closed-cell foam structures. Specifies the conductivity (current units are shown to the right of the box). |
| Record Naming | Bulk Material | The abbreviated name. For example, if your source record is Aluminum, type Al. This is used to create the record names for the new materials. |
