On the mechanics of functionally graded nanobeams with the account of surface elasticity
type: Item
instance of: scholarly article
title: On the mechanics of functionally graded nanobeams with the account of surface elasticity
zbMATH Open document ID: 1423.74454
author: Mohamed A. Attia
published in: International Journal of Engineering Science
publication date: 2018-11-27T00:00:00Z
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74H45
zbMATH DE Number: 6985321
zbMATH Keywords: nonlocal-couple stress theory
zbMATH Keywords: surface elasticity theory
zbMATH Keywords: Eringen's nonlocal elasticity
zbMATH Keywords: FG nanobeams
zbMATH Keywords: size effect
MaRDI profile type: Publication
full work available at URL: j.ijengsci.2017.03.011
OpenAlex ID: W2598900566
cites work: Investigation of the size effects in Timoshenko beams based on the couple stress theory
cites work: Mechanics and energy absorption of a functionally graded cylinder subjected to axial loading
cites work: Surface free energy and its effect on the elastic behavior of nano-sized particles, wires and films
cites work: Free vibration analysis of functionally graded size-dependent nanobeams
cites work: On a Moser-Steffensen type method for nonlinear systems of equations
cites work: Q5522078
cites work: Nonlocal polar elastic continua
cites work: Microcontinuum Field Theories
cites work: Nonlocal Continuum Field Theories
cites work: Bending of Euler-Bernoulli beams using Eringen's integral formulation: a paradox resolved
cites work: A phenomenological theory for strain gradient effects in plasticity
cites work: A new Timoshenko beam model incorporating microstructure and surface energy effects
cites work: A new Bernoulli-Euler beam model incorporating microstructure and surface energy effects
cites work: A microstructure- and surface energy-dependent third-order shear deformation beam model
cites work: A continuum theory of elastic material surfaces
cites work: Surface stress in solids
cites work: Surface effects on nonlinear free vibration of functionally graded nanobeams using nonlocal elasticity
cites work: A unified integro-differential nonlocal model
cites work: Q5327758
cites work: Experiments and theory in strain gradient elasticity.
cites work: Nonlinear bending and free vibration analyses of nonlocal strain gradient beams made of functionally graded material
cites work: Free vibration analysis of nonlocal strain gradient beams made of functionally graded material
cites work: On the truth of nanoscale for nanobeams based on nonlocal elastic stress field theory: equilibrium, governing equation and static deflection
cites work: A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation
cites work: Micro-structure in linear elasticity
cites work: On first strain-gradient theories in linear elasticity
cites work: Effects of couple-stresses in linear elasticity
cites work: Size dependent buckling analysis of microbeams based on modified couple stress theory with high order theories and general boundary conditions
cites work: Size dependent buckling analysis of functionally graded micro beams based on modified couple stress theory
cites work: Non-local analysis of free vibration of bi-directional functionally graded Euler-Bernoulli nano-beams
cites work: Buckling analysis of arbitrary two-directional functionally graded Euler-Bernoulli nano-beams based on nonlocal elasticity theory
cites work: Closed form solution for a nonlocal elastic bar in tension.
cites work: Analysis and modeling the size effect on vibration of functionally graded nanobeams based on nonlocal Timoshenko beam theory
cites work: Nonlocal theories for bending, buckling and vibration of beams
cites work: Nonlinear free vibration of a functionally graded nanobeam using nonlocal strain gradient theory and a novel Hamiltonian approach
cites work: Bending and vibration of functionally graded microbeams using a new higher order beam theory and the modified couple stress theory
cites work: A nonlocal beam theory for bending, buckling, and vibration of nanobeams
cites work: Exact solution of Eringen's nonlocal integral model for vibration and buckling of Euler-Bernoulli beam
cites work: Exact solution of Eringen's nonlocal integral model for bending of Euler-Bernoulli and Timoshenko beams
cites work: Couple stress based strain gradient theory for elasticity
DOI: 10.1016/J.IJENGSCI.2017.03.011
description: scientific article; zbMATH DE number 6985321