Fracture toughness of semi-regular lattices. (15th May 2023)

• Record Type: Journal Article
• Authors: Omidi, Milad; St-Pierre, Luc
• Is Part Of: International journal of solids and structures. Volume 270(2023)
• Publication Date: 2023-05-15
• Subjects: Semi-regular lattices -- Fracture toughness -- Finite element simulation -- Fracture test; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2023.112233
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: Previous studies have shown that the kagome lattice has a remarkably high fracture toughness. This architecture is one of eight semi-regular tessellations, and this work aims to quantify the toughness of three other unexplored semi-regular lattices: the snub-trihexagonal, snub-square and elongated-triangular lattices. Their mode I fracture toughness was obtained with finite element simulations, using the boundary layer technique. These simulations showed that the fracture toughness K I c of a snub-trihexagonal lattice scales linearly with relative density ρ ̄ . In contrast, the fracture toughness of snub-square and elongated-triangular lattices scale as ρ ̄ 1 . 5, an exponent different from other prismatic lattices reported in the literature. These numerical results were then compared with fracture toughness tests performed on Compact Tension specimens made from a ductile polymer and produced by additive manufacturing. The numerical and experimental results were in excellent agreement, indicating that our samples had a sufficiently large number of unit cells to accurately measure the fracture toughness. This result may be useful to guide the design of future experiments. Highlights: We investigated the fracture toughness of three semi-regular lattices. Two semi-regular lattices have a different behaviour from other prismatic lattices. Fracture tests are in excellent agreement with finite element simulations.