A geometrically nonlinear beam model based on the second strain gradient theory
type: Item
instance of: scholarly article
title: A geometrically nonlinear beam model based on the second strain gradient theory
zbMATH Open document ID: 1423.74489
author: Y. Aharonov
published in: International Journal of Engineering Science
publication date: 2018-11-23T00:00:00Z
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 6983490
zbMATH Keywords: non-classical continuum mechanics
zbMATH Keywords: micro-beam
zbMATH Keywords: Euler-Bernoulli beam
zbMATH Keywords: nonlinear behavior
zbMATH Keywords: second strain gradient theory
MaRDI profile type: Publication
full work available at URL: j.ijengsci.2015.01.004
OpenAlex ID: W2007825076
cites work: A nonlinear Timoshenko beam formulation based on the modified couple stress theory
cites work: A size-dependent nonlinear Timoshenko microbeam model based on the strain gradient theory
cites work: Investigation of the size effects in Timoshenko beams based on the couple stress theory
cites work: Wedge and twist disclinations in second strain gradient elasticity
cites work: Nonlinear forced vibrations of a microbeam based on the strain gradient elasticity theory
cites work: A nonlinear strain gradient beam formulation
cites work: Nonlinear dynamic analysis of a V-shaped microcantilever of an atomic force microscope
cites work: A strain gradient functionally graded Euler-Bernoulli beam formulation
cites work: The size-dependent natural frequency of Bernoulli-Euler micro-beams
cites work: Static and dynamic analysis of micro beams based on strain gradient elasticity theory
cites work: Experiments and theory in strain gradient elasticity.
cites work: Dislocations in second strain gradient elasticity
cites work: Nonlinear bending and buckling for strain gradient elastic beams
cites work: A novel atomistic approach to determine strain-gradient elasticity constants: tabulation and comparison for various metals, semiconductors, silica, polymers and the (ir)relevance for nanotechnologies
cites work: Effects of couple-stresses in linear elasticity
cites work: An investigation of modified couple stress theory in buckling analysis of micro composite laminated Euler-Bernoulli and Timoshenko beams
cites work: Q3851672
cites work: Nonlinear modeling and size-dependent vibration analysis of curved microtubes conveying fluid based on modified couple stress theory
cites work: Elastic materials with couple-stresses
cites work: Nonlinear forced vibration of strain gradient microbeams
cites work: Boundary stabilization of non-classical micro-scale beams
cites work: Exact boundary controllability of vibrating non-classical Euler-Bernoulli micro-scale beams
cites work: A micro scale Timoshenko beam model based on strain gradient elasticity theory
cites work: Nonlinear non-classical microscale beams: static bending, postbuckling and free vibration
cites work: Couple stress based strain gradient theory for elasticity
DOI: 10.1016/J.IJENGSCI.2015.01.004
description: scientific article; zbMATH DE number 6983490