Moreover, a simple mathematical expression of the structure-texture relation is available for such patterns. Four honeycomb patterns were designed by varying the cell size which was defined as the edge of the equilateral hexagon cell. The cell sizes were selected based on the resolution of the printing process in order to avoid clogged pores. In order to predict the texture properties of printed structures through modelling, 3D volumes of honeycomb structures with different porosities were generated. First, a 2D honeycomb pattern was drawn using AutoCAD as computer-aided design software (AutoCAD; Autodesk, Cupertino, CA, SA) as shown in Figure 1. Then, the structure surface was created by thickening the honeycomb pattern to a constant value of 1.2 mm; the 3D volume was then obtained by surface extrusion. The properties of the designed structures are provided in Table 1. In this study, we defined the volume as the space that was occupied by the solid material. The porosity corresponded to the air fraction of the structure considering an inscribed prismatic volume as region of interest represented in Figure 1.
Finally, the pore size was determined through the equivalent diameter considering the honeycomb cell voids inside the structure.