Buckling analyses of three characteristic-lengths featured size-dependent gradient-beam with variational consistent higher order boundary conditions
type: Item
instance of: scholarly article
title: Buckling analyses of three characteristic-lengths featured size-dependent gradient-beam with variational consistent higher order boundary conditions
zbMATH Open document ID: 1481.74220
author: Kai Zhang
author: Zichen Deng
author: Ya Jun Yu
published in: Applied Mathematical Modelling
publication date: 2020-04-07T00:00:00Z
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 7187172
zbMATH Keywords: buckling analyses
zbMATH Keywords: analytical modelling
zbMATH Keywords: nanobeam
zbMATH Keywords: modified nonlocal model
zbMATH Keywords: high-order boundary conditions
zbMATH Keywords: weighted residual approach
MaRDI profile type: Publication
full work available at URL: j.apm.2019.04.019
OpenAlex ID: W2939333167
cites work: Vibrations of Bernoulli-Euler beams using the two-phase nonlocal elasticity theory
cites work: On a Moser-Steffensen type method for nonlinear systems of equations
cites work: Nonlinear secondary resonance of nanobeams under subharmonic and superharmonic excitations including surface free energy effects
cites work: Nonlocal Continuum Field Theories
cites work: Nonlocal longitudinal vibration of viscoelastic coupled double-nanorod systems
cites work: A nonlocal sinusoidal shear deformation beam theory with application to bending, buckling, and vibration of nanobeams
cites work: Nonlocal theories for bending, buckling and vibration of beams
cites work: Bending analysis of microtubules using nonlocal Euler-Bernoulli beam theory
cites work: A nonlocal higher-order model including thickness stretching effect for bending and buckling of curved nanobeams
cites work: Buckling analysis of arbitrary two-directional functionally graded Euler-Bernoulli nano-beams based on nonlocal elasticity theory
cites work: A general nonlocal nonlinear model for buckling of nanobeams
cites work: Exact modes for post-buckling characteristics of nonlocal nanobeams in a longitudinal magnetic field
cites work: Buckling and vibration analysis of nonlocal axially functionally graded nanobeams based on Hencky-bar chain model
cites work: On boundary conditions for buckling and vibration of nonlocal beams
cites work: A nonlocal beam theory for bending, buckling, and vibration of nanobeams
cites work: Nonlocal nonlinear analysis of functionally graded plates using third-order shear deformation theory
cites work: Nonlocal nonlinear formulations for bending of classical and shear deformation theories of beams and plates
cites work: Prediction of biaxial buckling behavior of single-layered graphene sheets based on nonlocal plate models and molecular dynamics simulations
cites work: A unifying variational framework for stress gradient and strain gradient elasticity theories
cites work: Nonlocal thermoelasticity based on nonlocal heat conduction and nonlocal elasticity
cites work: On the role of gradients in the localization of deformation and fracture
cites work: A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation
cites work: On vibrations of nonlocal rods: boundary conditions, exact solutions and their asymptotics
cites work: Nonlocal strain gradient beam model for postbuckling and associated vibrational response of lipid supramolecular protein micro/nano-tubules
cites work: Buckling analysis of size-dependent nonlinear beams based on a nonlocal strain gradient theory
cites work: Static and dynamic response of CNT nanobeam using nonlocal strain and velocity gradient theory
cites work: Correction of local elasticity for nonlocal residuals: application to Euler-Bernoulli beams
cites work: Bending and stability analysis of gradient elastic beams
cites work: Size-dependent damping of a nanobeam using nonlocal thermoelasticity: extension of Zener, Lifshitz, and Roukes' damping model
DOI: 10.1016/J.APM.2019.04.019
description: scientific article; zbMATH DE number 7187172