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.

Unit cell in a low-density foam

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.

A micro-truss structure and its triangulated unit cell

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.

Extruded and expanded honeycomb lattices.
Note: For more detailed information about this model, see Selector Reference. This document is only available to customers with an Ansys ID.
The following parameters apply to Cellular Structures:
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:
  • A single value
  • A list, with each number separated with a semi-colon (for example, 1; 3; 6; 10; 15)
  • A range (for example, 1-15)
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.
Values quoted on datasheet are for equivalent properties. For honeycomb structures, anisotropic properties have a Notes section stating which direction the property is applicable to.