Crack in a 2D beam lattice: analytical solutions for two bending modes

DOI10.1016/j.jmps.2010.03.006zbMath1244.74121OpenAlexW2163073025MaRDI QIDQ443607

Michael Ryvkin, Slepyan, Leonid I.

Publication date: 13 August 2012

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmps.2010.03.006

zbMATH Keywords

integral transformsasymptotic analysisfracture toughnesselastic materialfunctionally invariant solutions

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Brittle fracture (74R10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10)

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Cites Work

• Localised knife waves in a structured interface
• Nucleation of cracks in two-dimensional periodic cellular materials
• The damage tolerance of elastic-brittle, two-dimensional isotropic lattices
• Origin of crack tip instabilities
• Fracture toughness of two-dimensional cellular material with periodic microstructure
• Crack in a material-bond lattice
• A micromechanical method to predict the fracture toughness of cellular materials
• Fracture analysis of materials with periodic microstructure by the representative cell method
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