A higher-order Eringen model for Bernoulli-Euler nanobeams

DOI10.1007/S00419-015-1037-0zbMath1346.74098OpenAlexW1917537301WikidataQ57588801 ScholiaQ57588801MaRDI QIDQ317263

Raffaele Barretta, Marko Čanadija, Francesco Marotti de Sciarra

Publication date: 30 September 2016

Published in: Archive of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00419-015-1037-0

zbMATH Keywords

gradient elasticitycarbon nanotubesBernoulli-Euler nanobeamsEringen modelnonlocal laws

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Micromechanics of solids (74M25)

Related Items (9)

Stress-driven modeling of nonlocal thermoelastic behavior of nanobeams ⋮ A higher-order Eringen model for Bernoulli-Euler nanobeams ⋮ Application of gradient elasticity to armchair carbon nanotubes: size effects and constitutive parameters assessment ⋮ Stress-driven nonlinear behavior of curved nanobeams ⋮ Doublet mechanical analysis of bending of Euler‐Bernoulli and Timoshenko nanobeams ⋮ Damped waves under nonlocal Euler-Bernoulli and extended Green-Naghdi II theories in radiating thermoelastic nanobeams ⋮ A hardening nonlocal approach for vibration of axially loaded nanobeam with deformable boundaries ⋮ Theoretical analysis of free vibration of microbeams under different boundary conditions using stress-driven nonlocal integral model ⋮ Bilaterally nonlocal dynamics of layer-by-layer assembly of double-walled carbon nanotubes accounting for intertube rigorous van der Waals forces

Cites Work

• A higher-order Eringen model for Bernoulli-Euler nanobeams
• Nonlocal theories for bending, buckling and vibration of beams
• On non-local and non-homogeneous elastic continua
• Bending analysis of microtubules using nonlocal Euler-Bernoulli beam theory
• A nonlocal sinusoidal shear deformation beam theory with application to bending, buckling, and vibration of nanobeams
• Analogies between nonlocal and local Bernoulli-Euler nanobeams
• Gradient-dependent plasticity: Formulation and algorithmic aspects
• GRADIENT ENHANCED DAMAGE FOR QUASI-BRITTLE MATERIALS
• A critical comparison of nonlocal and gradient-enhanced softening continua

This page was built for publication: A higher-order Eringen model for Bernoulli-Euler nanobeams