Numerical validation of a concurrent atomistic-continuum multiscale method and its application to the buckling analysis of carbon nanotubes

DOI10.1016/J.CMA.2013.11.014zbMath1296.74033OpenAlexW2038620437MaRDI QIDQ460850

Stefan Hollerer

Publication date: 9 October 2014

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2013.11.014

zbMATH Keywords

finite element methodbucklingcarbon nanotubesmolecular staticsconcurrent multiscale method

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Bifurcation and buckling (74G60) Micromechanical theories (74A60)

Related Items (3)

On the molecular mechanics of single layer graphene sheets ⋮ Buckling and post-buckling analysis of single wall carbon nanotubes using molecular mechanics ⋮ Nonlinear vibration analysis of graphene sheets resting on Winkler-Pasternak elastic foundation using an atomistic-continuum multiscale model

Cites Work

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• Buckling analysis of carbon nanotubes by a mixed atomistic and continuum model
• An atomistic-based finite deformation membrane for single layer crystalline films
• An introduction to computational nanomechanics and materials
• A multiscale projection method for the analysis of carbon nanotubes
• A bridging domain method for coupling continua with molecular dynamics
• The atomic-scale finite element method
• On the application of the Arlequin method to the coupling of particle and continuum models
• Concurrent AtC coupling based on a blend of the continuum stress and the atomistic force
• Coupling of atomistic and continuum simulations using a bridging scale decomposition.
• Ghost forces and spurious effects in atomic‐to‐continuum coupling methods by the Arlequin approach
• Molecular mechanics in the context of the finite element method
• A bridging domain and strain computation method for coupled atomistic–continuum modelling of solids
• Application of the higher-order Cauchy-Born rule in mesh-free continuum and multiscale simulation of carbon nanotubes
• Finite element methods for the non-linear mechanics of crystalline sheets and nanotubes
• A continuum‐to‐atomistic bridging domain method for composite lattices

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