Strain gradient formulation of functionally graded nonlinear beams
type: Item
instance of: scholarly article
title: Strain gradient formulation of functionally graded nonlinear beams
zbMATH Open document ID: 1423.74508
author: Mohammad Hussein Kahrobaiyan
author: Masoud Rahaeifard
author: M. T. Ahmadian
author: Keikhosrow Firoozbakhsh
published in: International Journal of Engineering Science
publication date: 2018-11-12T00:00:00Z
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 6976127
zbMATH Keywords: strain gradient theory
zbMATH Keywords: functionally graded material
zbMATH Keywords: mid-plane stretching
zbMATH Keywords: Euler-Bernoulli beam
zbMATH Keywords: length scale parameter
MaRDI profile type: Publication
full work available at URL: j.ijengsci.2013.02.002
OpenAlex ID: W2079719844
cites work: Investigation of the size effects in Timoshenko beams based on the couple stress theory
cites work: A phenomenological theory for strain gradient effects in plasticity
cites work: Q4338620
cites work: A reformulation of strain gradient plasticity.
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: Torsion of strain gradient bars
cites work: A strain gradient functionally graded Euler-Bernoulli beam formulation
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: A microstructure-dependent Timoshenko beam model based on a modified couple stress theory
cites work: Q3851672
cites work: Dynamic analysis of an embedded microbeam carrying a moving microparticle based on the modified couple stress theory
cites work: A new Kirchhoff plate model based on a modified couple stress theory
cites work: A size-dependent Kirchhoff micro-plate model based on strain gradient elasticity theory
cites work: Couple stress based strain gradient theory for elasticity
DOI: 10.1016/J.IJENGSCI.2013.02.002
Recommended article: A nonlinear strain gradient beam formulation
Recommended article: A strain gradient functionally graded Euler-Bernoulli beam formulation
Recommended article: Nonlinear bending and buckling for strain gradient elastic beams
Recommended article: Nonlinear bending and free vibration analyses of nonlocal strain gradient beams made of functionally graded material
Recommended article: Geometric nonlinear analyses of functionally graded beams using a tailored Lagrangian formulation
Recommended article: Nonlinear microbeam model based on strain gradient theory
Recommended article: A unified beam theory with strain gradient effect and the von Kármán nonlinearity
Recommended article: Free vibration analysis of nonlocal strain gradient beams made of functionally graded material
Recommended article: A geometrically nonlinear beam model based on the second strain gradient theory
Recommended article: Nonlinear analysis of a functionally graded beam resting on the elastic nonlinear foundation
description: scientific article; zbMATH DE number 6976127