Fracture toughness of two-dimensional cellular material with periodic microstructure

DOI10.1007/s10704-007-9171-5zbMath1264.74221OpenAlexW1981888093MaRDI QIDQ1953944

Fabian Lipperman, Michael Ryvkin, Moshe B. Fuchs

Publication date: 12 June 2013

Published in: International Journal of Fracture (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10704-007-9171-5

zbMATH Keywords

discrete Fourier transformfracture toughnessperiodic cellular material

Mathematics Subject Classification ID

Brittle fracture (74R10) Texture in solid mechanics (74E25)

Related Items (8)

Multiscale analysis of non-periodic stress state in composites with periodic microstructure ⋮ Employing of the discrete Fourier transform for evaluation of crack-tip field in periodic materials ⋮ A quasicontinuum theory for the nonlinear mechanical response of general periodic truss lattices ⋮ Analysis of randomly damaged triangular beam lattice: elastic field and effective properties ⋮ Bio-inspired beam lattice materials with sacrificial bonds ⋮ Reduced-dimensional phase-field theory for lattice fracture and its application in fracture toughness assessment of architected materials ⋮ Crack in a 2D beam lattice: analytical solutions for two bending modes ⋮ Compressive response of a sandwich plate containing a cracked diamond-celled lattice

Cites Work

• Some surprising phenomena in weak-bond fracture of a triangular lattice
• Nucleation of cracks in two-dimensional periodic cellular materials
• The damage tolerance of elastic-brittle, two-dimensional isotropic lattices
• Solution of quasi-periodic fracture problems by the representative cell method
• Localized transition waves in bistable-bond lattices
• Fracture analysis of cellular materials: a strain gradient model.
• A micromechanical method to predict the fracture toughness of cellular materials

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