Instability of functionally graded micro-beams via micro-structure-dependent beam theory
type: Item
instance of: scholarly article
title: Instability of functionally graded micro-beams via micro-structure-dependent beam theory
zbMATH Open document ID: 1397.74117
author: Li Li
author: Yujin Hu
author: Xiaobai Li
published in: AMM. Applied Mathematics and Mechanics. (English Edition)
publication date: 2018-10-05T00:00:00Z
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74M25
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 6947523
zbMATH Keywords: bi-directional functionally graded (FG) material
zbMATH Keywords: buckling
zbMATH Keywords: modified couple stress theory
zbMATH Keywords: micro-beam
MaRDI profile type: Publication
full work available at URL: s10483-018-2343-8
OpenAlex ID: W2801933203
Wikidata QID: Q110944290
cites work: Analytical solutions for single- and multi-span functionally graded plates in cylindrical bending
cites work: Antiplane Crack Problem in Functionally Graded Piezoelectric Materials
cites work: Size-dependent elastic behavior of FGM ultra-thin films based on generalized refined theory
cites work: Eringen's non-local elasticity theory for bending analysis of bi-directional functionally graded Euler-Bernoulli nano-beams
cites work: Stress analysis of thermally affected rotating nanoshafts with varying material properties
cites work: Pull-in analysis of electrically actuated viscoelastic microbeams based on a modified couple stress theory
cites work: Nonlocal polar elastic continua
cites work: A phenomenological theory for strain gradient effects in plasticity
cites work: Couple stress based strain gradient theory for elasticity
cites work: A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation
cites work: Free vibration analysis of nonlocal strain gradient beams made of functionally graded material
cites work: Transverse vibration of pre-tensioned nonlocal nanobeams with precise internal axial loads
cites work: Bending and vibration of functionally graded microbeams using a new higher order beam theory and the modified couple stress theory
cites work: Size dependent buckling analysis of functionally graded micro beams based on modified couple stress theory
cites work: A refined quasi-3D isogeometric analysis for functionally graded microplates based on the modified couple stress theory
cites work: A strain gradient functionally graded Euler-Bernoulli beam formulation
cites work: Torsion of a functionally graded material
cites work: Nonlinear vibration of axially functionally graded tapered microbeams
cites work: Free flexural vibration of geometrically imperfect functionally graded microbeams
cites work: A shear deformable conical shell formulation in the framework of couple stress theory
cites work: Free vibration analysis of functionally graded material beams based on Levinson beam theory
cites work: Linear and nonlinear torsional free vibration of functionally graded micro/nano-tubes based on modified couple stress theory
cites work: Thermal buckling analysis of functionally graded cylindrical shells
cites work: Nonlinear bending and free vibration analyses of nonlocal strain gradient beams made of functionally graded material
cites work: Semi-analytical elasticity solutions for bi-directional functionally graded beams
cites work: Edge crack problem in a semi-infinite FGM plate with a bi-directional coefficient of thermal expansion under two-dimensional thermal loading
cites work: Reduction of thermal stresses by developing two-dimensional functionally graded materials
cites work: Elastic-plastic analysis of two-dimensional functionally graded materials under thermal loading
cites work: Optimal tailoring of 2D volume-fraction distributions for heat-resisting functionally graded materials using FDM
cites work: Dynamic analysis of multi-directional functionally graded annular plates
cites work: Semi-analytical analysis for multi-directional functionally graded plates: 3-D elasticity solutions
cites work: Vibration of bi-dimensional functionally graded Timoshenko beams excited by a moving load
cites work: Buckling analysis of arbitrary two-directional functionally graded Euler-Bernoulli nano-beams based on nonlocal elasticity theory
cites work: Non-local analysis of free vibration of bi-directional functionally graded Euler-Bernoulli nano-beams
cites work: A Simple Higher-Order Theory for Laminated Composite Plates
cites work: An efficient standard plate theory
cites work: Mechanical behaviour of laminated composite beam by the new multi-layered laminated composite structures model with transverse shear stress continuity.
cites work: A transverse shear deformation theory for homogeneous monoclinic plates
cites work: Buckling analysis of size-dependent nonlinear beams based on a nonlocal strain gradient theory
cites work: The Crack Problem for a Nonhomogeneous Plane
cites work: Free vibration characteristics of a functionally graded beam by finite element method
cites work: A differential quadrature as a numerical method to solve differential equations
cites work: Application of generalized differential quadrature rule to sixth-order differential equations
cites work: Transverse vibration of axially moving functionally graded materials based on Timoshenko beam theory
cites work: Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations
DOI: 10.1007/S10483-018-2343-8
description: scientific article; zbMATH DE number 6947523