Effect of material nonlinearity on spatial buckling of nanorods and nanotubes

DOI10.1007/s10659-016-9586-1zbMath1354.74023OpenAlexW2471335905WikidataQ56561627 ScholiaQ56561627MaRDI QIDQ506677

Ajeet Kumar, Prakhar Gupta

Publication date: 1 February 2017

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-016-9586-1

zbMATH Keywords

surface stressCauchy-Born ruleelastic constitutive modelingspecial Cosserat rodEuler buckling

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Effective constitutive equations in solid mechanics (74Q15) Molecular, statistical, and kinetic theories in solid mechanics (74A25)

Related Items (10)

Homogenization of fully nonlinear rod lattice structures: on the size of the RVE and micro structural instabilities ⋮ Effect of intrinsic twist and orthotropy on extension-twist-inflation coupling in compressible circular tubes ⋮ A singularity free approach for Kirchhoff rods having uniformly distributed electrostatic charge ⋮ Uniformly strained anisotropic elastoplastic rods: determination of elastoplastic constitutive relations and yield surface in terms of rod's variables ⋮ Phonons in chiral nanorods and nanotubes: A Cosserat-rod-based continuum approach ⋮ A thermoelastoplastic theory for special Cosserat rods ⋮ Geometrically exact elastoplastic rods: determination of yield surface in terms of stress resultants ⋮ A computational approach to obtain nonlinearly elastic constitutive relations of special Cosserat rods ⋮ An asymptotic numerical method for continuation of spatial equilibria of special Cosserat rods ⋮ Effect of surface elasticity on extensional and torsional stiffnesses of isotropic circular nanorods

Cites Work

• A helical Cauchy-Born rule for special Cosserat rod modeling of nano and continuum rods
• Non-linear dynamic intertwining of rods with self-contact
• A generalized computational approach to stability of static equilibria of nonlinearly elastic rods in the presence of constraints
• An atomistic-based finite deformation membrane for single layer crystalline films
• Surface effects in non-uniform nanobeams: continuum vs. atomistic modeling
• A continuum theory of elastic material surfaces
• Objective structures
• Bifurcation of hemitropic elastic rods under axial thrust
• Material Symmetry and Chirality in Nonlinearly Elastic Rods
• A surface Cauchy–Born model for nanoscale materials
• The Shear Coefficient in Timoshenko’s Beam Theory
• Nonlinear problems of elasticity

This page was built for publication: Effect of material nonlinearity on spatial buckling of nanorods and nanotubes