The damage tolerance of elastic–brittle, two-dimensional isotropic lattices

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The fracture toughness of octet-truss lattices (2017, background): “For triangulated 2D lattices, finite element studies (Choi and Sankar, 2005; Fleck and Qiu, 2007; Huang and Gibson, 1991; Lipperman et al., 2007; Quintana-Alonso and Fleck, 2009; Tankasala et al., 2015) have shown the mode I fracture toughness, KIc, scales as: K Ic=α ρ́ d σ s √ l (1)”
Fatigue design of lattice materials via computational mechanics: Application to lattices with smooth transitions in cell geometry (2013, background): “The recurring waves on a ship hull, the aero-acoustic excitation of a turbine engine, and the rhythmic forces acting on an orthopedic implant during the swing phase of walking are all classical examples of time-dependent loads [9–14].”
The stiffness and strength of the gyroid lattice (2014, background): “In contrast, the fracture toughness of the lattice need not depend upon the fracture toughness of the parent material (Fleck and Qiu, 2007).”