Wave characteristics of nanotubes conveying fluid based on the non-classical Timoshenko beam model incorporating surface energies

DOI10.1007/S13369-016-2132-4zbMath1390.74043OpenAlexW2312236751MaRDI QIDQ1639452

Amir Norouzzadeh, Raheb Gholami, Mohammad A. Darabi, Reza Ansari

Publication date: 12 June 2018

Published in: Arabian Journal for Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13369-016-2132-4

zbMATH Keywords

wave propagationsurface stressgeneralized differential quadrature methodGurtin-Murdoch elasticity continuumTimoshenko beam theoryfluid-conveying nanotubes

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Micromechanics of solids (74M25)

Related Items (4)

An analytical study on wave propagation in functionally graded nano-beams/tubes based on the integral formulation of nonlocal elasticity ⋮ Nonlinear wave propagation analysis in Timoshenko nano-beams considering nonlocal and strain gradient effects ⋮ Flow-induced and mechanical stability of cantilever carbon nanotubes subjected to an axial compressive load ⋮ A novel formulation for the weak quadrature element method for solving vibration of strain gradient graded nonlinear nanobeams

Cites Work

• The size-dependent natural frequency of Bernoulli-Euler micro-beams
• A continuum theory of elastic material surfaces
• Surface stress in solids
• Experiments and theory in strain gradient elasticity.
• A sixth-order compact finite difference method for non-classical vibration analysis of nanobeams including surface stress effects
• Thin plate theory including surface effects
• Size-dependent effective elastic constants of solids containing nano-inhomogeneities with interface stress
• Surface free energy and its effect on the elastic behavior of nano-sized particles, wires and films
• Flow-induced flutter instability of cantilever carbon nanotubes
• Nonlocal polar elastic continua
• Effects of couple-stresses in linear elasticity
• Size-Dependent Eshelby’s Tensor for Embedded Nano-Inclusions Incorporating Surface/Interface Energies

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