A multiscale discrete-continuum mosaic method for nonlinear mechanical behaviors of periodic micro/nano-scale structures

DOI10.1016/J.APM.2020.12.009zbMath1481.74596OpenAlexW3114438287MaRDI QIDQ823445

N. E. Zubov

Publication date: 24 September 2021

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2020.12.009

zbMATH Keywords

contactlarge deformationmultiscale methodmeshless computational schememicro/nano-scale

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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Cites Work

• Numerical computation of the elastic and mechanical properties of red blood cell membrane using the higher-order Cauchy-Born rule
• An atomistic-based finite deformation membrane for single layer crystalline films
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• The atomic-scale finite element method
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• Modeling of van der Waals force for infinitesimal deformation of multi-walled carbon nanotubes treated as cylindrical shells
• Predicting buckling behavior of microtubules based on an atomistic-continuum model
• Surfaces Generated by Moving Least Squares Methods
• Finite element methods for the non-linear mechanics of crystalline sheets and nanotubes

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