Mechanical Properties of Semi-Regular Lattices

Milad Omidi, Luc St-Pierre*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

6 Citations (Scopus)
140 Downloads (Pure)


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. (c) 2021 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license (

Original languageEnglish
Article number110324
Number of pages21
JournalMaterials & design
Publication statusPublished - Jan 2022
MoE publication typeA1 Journal article-refereed


  • Semi-regular tessellations
  • Planar lattices
  • Honeycombs
  • Cellular solids


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