A mesh-free vibration analysis of strain gradient nano-beams

DOI10.1016/j.enganabound.2017.09.001zbMath1403.74326OpenAlexW2755216397MaRDI QIDQ1656285

Xiaoqiao He, Yuzhou Sun, Lifeng Wang, Kim Moew Liew

Publication date: 10 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2017.09.001

zbMATH Keywords

vibrationsingle-walled carbon nanotubestrain gradientmesh-free methodEuler beam

Mathematics Subject Classification ID

Related Items (6)

Spatial vibrations and instability of axially loaded-torqued beam-like nanostructures via surface elasticity theory ⋮ Vibration analysis of 2D-functionally graded nanobeams using the nonlocal theory and meshless method ⋮ A meshfree method with gradient smoothing for free vibration and buckling analysis of a strain gradient thin plate ⋮ Free vibration of multiple-nanobeam system with nonlocal Timoshenko beam theory for various boundary conditions ⋮ Linear and nonlinear vibrations of strain gradient beams with rough surface ⋮ Vibration analysis of a strain gradient plate model via a mesh-free moving kriging interpolation method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An improved moving least-squares Ritz method for two-dimensional elasticity problems
• Wave propagation in graphene sheets with nonlocal elastic theory via finite element formulation
• A classification of higher-order strain-gradient models --- linear analysis
• Elastic materials with couple-stresses
• A boundary point interpolation method for stress analysis of solids.
• Meshless methods: An overview and recent developments
• Modelling and simulation of the superelastic behaviour of shape memory alloys using the element-free Galerkin method.
• The application of mesh-free method in the numerical simulation of beams with the size effect
• The physics of plastic deformation
• On first strain-gradient theories in linear elasticity
• Micro-structure in linear elasticity
• The buckling of single-walled carbon nanotubes upon bending: the higher-order gradient continuum and mesh-free method
• Application of the higher-order Cauchy-Born rule in mesh-free continuum and multiscale simulation of carbon nanotubes
• Element‐free Galerkin methods
• The boundary node method for three-dimensional problems in potential theory
• Reproducing kernel particle methods
• A G space theory and a weakened weak (W² ) form for a unified formulation of compatible and incompatible methods: Part I theory
• A G space theory and a weakened weak (W² ) form for a unified formulation of compatible and incompatible methods: Part II applications to solid mechanics problems
• Finite element formulations of strain gradient theory for microstructures and the C^0–1 patch test

This page was built for publication: A mesh-free vibration analysis of strain gradient nano-beams