Fracture of Brittle Lattice Materials: A Review

  • Ignacio Quintana-AlonsoEmail author
  • Norman A. Fleck


The mechanics of failure for elastic-brittle lattice materials is reviewed. Closed-form expressions are summarized for fracture toughness as a function of relative density for a wide range of periodic lattices. A variety of theoretical and numerical approaches has been developed in the literature and in the main the predictions coincide for any given topology. However, there are discrepancies and the underlying reasons for these are highlighted. The role of imperfections at the cell wall level can be accounted for by Weibull analysis. Nevertheless, defects can also arise on the meso-scale in the form of misplaced joints, wavy cell walls and randomly distributed missing cell walls. These degrade the macroscopic fracture toughness of the lattice.


Fracture Toughness Fracture Property Crack Length Linear Elastic Fracture Mechanic Hexagonal Lattice 
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© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Cambridge University Engineering DepartmentCambridgeUK

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