Variational formulations and isogeometric analysis for the dynamics of anisotropic gradient-elastic Euler-Bernoulli and shear-deformable beams
type: Item
instance of: scholarly article
title: Variational formulations and isogeometric analysis for the dynamics of anisotropic gradient-elastic Euler-Bernoulli and shear-deformable beams
zbMATH Open document ID: 1406.74409
author: Saba Tahaei Yaghoubi
author: Viacheslav Balobanov
author: S. Mahmoud Mousavi
author: Jarkko Niiranen
published in: European Journal of Mechanics. A. Solids
publication date: 2018-10-08T00:00:00Z
full work available at URL: https://aaltodoc.aalto.fi/handle/123456789/35209
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 49Q12
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 74E10
zbMATH DE Number: 6948459
zbMATH Keywords: anisotropic strain and velocity gradient
zbMATH Keywords: shear-deformable beam
zbMATH Keywords: centrosymmetric
zbMATH Keywords: isogeometric analysis
describes a project that uses: GeoPDEs
MaRDI profile type: Publication
OpenAlex ID: W2774540395
cites work: The atomistic representation of first strain-gradient elastic tensors
cites work: A size-dependent shear deformation beam model based on the strain gradient elasticity theory
cites work: Size-dependent vibration of functionally graded curved microbeams based on the modified strain gradient elasticity theory
cites work: Matrix representations for 3D strain-gradient elasticity
cites work: Isogeometric Analysis
cites work: Nonlocal polar elastic continua
cites work: \textsc{GeoPDEs}: a research tool for isogeometric analysis of PDEs
cites work: Stress concentrations in fractured compact bone simulated with a special class of anisotropic gradient elasticity
cites work: Modelling size-dependent bending, buckling and vibrations of 2D triangular lattices by strain gradient elasticity models: applications to sandwich beams and auxetics
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: The non-singular Green tensor of Mindlin's anisotropic gradient elasticity with separable weak non-locality
cites work: The non-singular Green tensor of gradient anisotropic elasticity of Helmholtz type
cites work: A new rectangular beam theory
cites work: Micro-structure in linear elasticity
cites work: Effects of couple-stresses in linear elasticity
cites work: Variational approach to dynamic analysis of third-order shear deformable plates within gradient elasticity
cites work: Analysis of anisotropic gradient elastic shear deformable plates
cites work: Variational formulation and isogeometric analysis for fourth-order boundary value problems of gradient-elastic bar and plane strain/stress problems
cites work: Variational formulations and general boundary conditions for sixth-order boundary value problems of gradient-elastic Kirchhoff plates
cites work: Q3243972
cites work: A Simple Higher-Order Theory for Laminated Composite Plates
cites work: Anisotropic and dispersive wave propagation within strain-gradient framework
cites work: Size-dependent buckling analysis of functionally graded third-order shear deformable microbeams including thermal environment effect
cites work: Theories of elasticity with couple-stress
cites work: A size-dependent Reddy-Levinson beam model based on a strain gradient elasticity theory
cites work: Closed-form frequency solutions for simplified strain gradient beams with higher-order inertia
cites work: Strain and velocity gradient theory for higher-order shear deformable beams
DOI: 10.1016/J.EUROMECHSOL.2017.11.012
description: scientific article; zbMATH DE number 6948459