Variational principles for buckling and vibration of MWCNTs modeled by strain gradient theory

DOI10.1007/s10483-014-1855-6zbMath1298.74091OpenAlexW2326599503MaRDI QIDQ468574

Zi-Chen Deng, Xiao-Jian Xu

Publication date: 7 November 2014

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-014-1855-6

zbMATH Keywords

variational principlebucklingvibrationcarbon nanotubestrain gradient theory

Mathematics Subject Classification ID

Variational methods for problems in mechanics (70G75) Vibrations in dynamical problems in solid mechanics (74H45) Bifurcation and buckling (74G60) Other variational principles in mechanics (70H30) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (5)

Size-dependent effect on biaxial and shear nonlinear buckling analysis of nonlocal isotropic and orthotropic micro-plate based on surface stress and modified couple stress theories using differential quadrature method ⋮ Effects of layer number and initial pressure on continuum-based buckling analysis of multi-walled carbon nanotubes accounting for van der Waals interaction ⋮ A size-dependent elastic theory for magneto-electro-elastic materials ⋮ Buckling analysis of circular functionally graded plate under uniform radial compression including shear deformation with linear and quadratic thickness variation on the Pasternak elastic foundation ⋮ Static and dynamic response of CNT nanobeam using nonlocal strain and velocity gradient theory

Cites Work

• Variational principles for multi-walled carbon nanotubes undergoing buckling based on nonlocal elasticity theory
• Variational approach to \((2+1)\)-dimensional dispersive long water equations
• Group velocity of wave propagation in carbon nanotubes

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