Mechanical Properties of Semi-Regular Lattices. (January 2022)

• Record Type: Journal Article
• Authors: Omidi, Milad; St-Pierre, Luc
• Is Part Of: Materials & design. Volume 213(2022)
• Publication Date: 2022-01
• Subjects: Semi-regular tessellations -- Planar lattices -- Honeycombs -- Cellular solids; Materials -- Periodicals; Engineering design -- Periodicals; Matériaux -- Périodiques; Conception technique -- Périodiques; Electronic journals; 620.11
• DOI: 10.1016/j.matdes.2021.110324
• Languages: English
• ISSNs: 0264-1275

Abstract

Graphical abstract: Highlights: The in-plane mechanical properties of 7 semi-regular lattices were derived analytically. We found a stretching-dominated topology with an elastic buckling strength 43% higher than a regular triangular lattice. One bending-dominated semi-regular tessellation is 85% stiffer and 11% stronger than a regular hexagonal lattice. Abstract: The mechanical properties of seven semi-regular lattices were derived analytically for in-plane uniaxial compression and shear. These analytical expressions were then validated using Finite Element simulations. Our analysis showed that one topology is stretching-dominated; two are stretching-dominated in compression but bending-dominated in shear; and four are bending-dominated. To assess their potential, the properties of these seven semi-regular topologies were compared to regular lattices. We found the elastic buckling strength of the stretching-dominated semi-regular tessellation to be 43% higher than a regular triangular lattice. In addition, three of the four bending-dominated semi-regular topologies had a higher elastic modulus than a regular hexagonal lattice. In fact, one of these bending-dominated topologies was 85% stiffer and 11% stronger than a hexagonal lattice. This topology would be ideal for applications requiring a high stiffness and high energy absorption.