Effect of Axial Deformation on Elastic Properties of Irregular Honeycomb Structure

Abstract

Irregular honeycomb structures occur abundantly in nature and in man-made products, and are an active area of research. In this paper, according to the optimization of regular honeycomb structures, two types of irregular honeycomb structures with both positive and negative Poisson’s ratios are presented. The elastic properties of irregular honeycombs with varying structure angles were investigated through a combination of material mechanics and structural mechanics methods, in which the axial deformation of the rods was considered. The numerical results show that axial deformation has a significant influence on the elastic properties of irregular honeycomb structures. The elastic properties of the structure can be considered by the enclosed area of the unit structure, the shape of the unit structure, and the elastic properties of the original materials. The elastic properties considering the axial deformation of rods studied in this study can provide a reference for other scholars.

Lattice Structures Built with Different Polygon Hollow Shapes: A Review on Their Analytical Modelling and Engineering Applications

“…Numerous studies [17][18][19][20][21][22] have, however, ignored analytical modelling of the effects of the connections at the nodes of polygonal hollow structures on their stiffness. This is a concern because numerous studies [17,[23][24][25][26] suggest that vertices are highly stressed regions, which, thus, are prone to failing first under applied loads. This challenge is currently the focus of ongoing research by the authors.…”

“…Analytical models predicting the structural behaviour of lattice structures are available in the literature for in-plane and out-of-plane loads [18][19][20][21][22][23][24][25][26]. The in-plane and out-ofplane loads for the analytical models derived for polygon hollow structures based on plates/beams are depicted in Figure 3.…”

“…Currently, the analytical models for the deformation behaviour of polygonal structures that are available in the literature only describe the bending stiffness of these hollow structures with respect to their elastic moduli [17,18,20] and predict their load-bearing capacity with reference to the yield stress of their wall-material [18,20]. Polygonal structures are particularly useful in applications for high-energy absorption [2,5,7,8,[13][14][15][16][17][21][22][23][24][25]. Given the fact that there are no specific models for the absorption mechanisms of energy for polygon hollow structures, this poses a challenge in accurately predicting their related behaviour.…”

“…A growing number of engineering and manufacturing applications today take advantage of lattice structures built with polygonal hollow shapes because of their lightweight design [1,2,4,7,15,17,[24][25][26][27][29][30][31][32][33][34][35][36]. Multiple materials, such as composites, metals, and polymers, are available to build these lattice structures [15,37,38].…”

“…Numerous research works [17][18][19][20][21][22] have overlooked analytical modelling of the effects of polygonal hollow structures' node connections on stiffness. This is a worry because multiple studies [17,[23][24][25][26] indicate that vertices are highly stressed locations and so are more likely to fail first under applied loads.…”