Homogenization of helical beam-like structures: Application to single-walled carbon nanotubes

DOI10.1007/S00466-007-0189-3zbMath1162.74430OpenAlexW2060525328MaRDI QIDQ1021077

Tanguy Messager, Patrice Cartraud

Publication date: 8 June 2009

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-007-0189-3

zbMATH Keywords

homogenizationFEMeffective propertiesnanotubehelical symmetry

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Effective constitutive equations in solid mechanics (74Q15) Homogenization in equilibrium problems of solid mechanics (74Q05)

Cites Work

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• Calculation of the characteristic of thin elastic rods with a periodic structure
• Helical inclusion in an elastic matrix
• A novel finite element model for helical springs
• A concise finite element model for simple straight wire rope strand
• Computational homogenization of periodic beam-like structures
• Mechanical properties of single-walled carbon nanotubes based on higher order Cauchy-Born rule
• Eigenanalysis and continuum modelling of pre-twisted repetitive beam-like structures
• On the compliance of coiled springs
• Application of ADINA to stress analysis of an optical ground wire
• Higher-order effective modeling of periodic heterogeneous beams. I: Asymptotic expansion method. II: Derivation of the proper boundary conditions for the interior asymptotic solution

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