The fracture toughness of demi-regular lattices

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Volume Title

A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Date

2023-12

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Mcode

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Language

en

Pages

5

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Scripta Materialia, Volume 237

Abstract

The properties of lattices are strongly influenced by their nodal connectivity; yet, previous studies have focused mainly on topologies with a single vertex configuration. This work investigates the potential of demi-regular lattices, with two vertex configurations, to outperform existing topologies, such as triangular and kagome lattices. We used finite element simulations to predict the fracture toughness of three elastic-brittle demi-regular lattices under modes I, II, and mixed-mode loading. The fracture toughness of two demi-regular lattices scales linearly with relative density ρ¯, and outperforms a triangular lattice by 15% under mode I and 30% under mode II. The third demi-regular lattice has a fracture toughness KIc that scales with ρ¯ and matches the remarkable toughness of a kagome lattice. Finally, a kinematic matrix analysis revealed that topologies with KIc∝ρ¯ have periodic mechanisms and this may be a key feature explaining their high fracture toughness.

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Funding Information: This work was supported by the Academy of Finland (grant 322007 ). Publisher Copyright: © 2023 The Author(s)

Keywords

Cellular materials, Demi-regular tessellations, Finite element analysis, Fracture, Toughness

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Citation

Omidi, M & St-Pierre, L 2023, ' The fracture toughness of demi-regular lattices ', Scripta Materialia, vol. 237, 115686 . https://doi.org/10.1016/j.scriptamat.2023.115686