Locking-free variational formulations and isogeometric analysis for the Timoshenko beam models of strain gradient and classical elasticity
type: Item
instance of: scholarly article
title: Locking-free variational formulations and isogeometric analysis for the Timoshenko beam models of strain gradient and classical elasticity
zbMATH Open document ID: 1440.74179
author: Viacheslav Balobanov
author: Jarkko Niiranen
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2020-04-08T00:00:00Z
full work available at URL: https://aaltodoc.aalto.fi/handle/123456789/35103
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 7188248
zbMATH Keywords: Timoshenko beam
zbMATH Keywords: variational formulation
zbMATH Keywords: strain gradient elasticity
zbMATH Keywords: isogeometric analysis
zbMATH Keywords: size effect
zbMATH Keywords: shear locking
describes a project that uses: GeoPDEs
MaRDI profile type: Publication
OpenAlex ID: W2800692319
cites work: Experiments and theory in strain gradient elasticity.
cites work: Applications of strain gradient theories to the size effect in submicro-structures incl. experimental analysis of elastic material parameters
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: Micro-structure in linear elasticity
cites work: Gradient elasticity with surface energy: Mode-III crack problem
cites work: Variational formulation and isogeometric analysis for fourth-order boundary value problems of gradient-elastic bar and plane strain/stress problems
cites work: On a strain gradient elastic Timoshenko beam model
cites work: A micro scale Timoshenko beam model based on strain gradient elasticity theory
cites work: A size-dependent nonlinear Timoshenko microbeam model based on the strain gradient theory
cites work: Variational formulations and isogeometric analysis for the dynamics of anisotropic gradient-elastic Euler-Bernoulli and shear-deformable beams
cites work: Discretization by finite elements of a model parameter dependent problem
cites work: Single-variable formulations and isogeometric discretizations for shear deformable beams
cites work: Avoiding shear locking for the Timoshenko beam problem via isogeometric collocation methods
cites work: A locking-free model for Reissner–Mindlin plates: Analysis and isogeometric implementation via NURBS and triangular NURPS
cites work: Shear-flexible subdivision shells
cites work: A hierarchic family of isogeometric shell finite elements
cites work: A strain gradient Timoshenko beam element: application to MEMS
cites work: Wave dispersion in gradient elastic solids and structures: a unified treatment
cites work: A shear deformable, rotation-free isogeometric shell formulation
cites work: Hierarchic isogeometric large rotation shell elements including linearized transverse shear parametrization
cites work: Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
cites work: Variational formulation of a simplified strain gradient elasticity theory and its application to a pressurized thick-walled cylinder problem
cites work: Variational formulations and general boundary conditions for sixth-order boundary value problems of gradient-elastic Kirchhoff plates
cites work: Q3566755
cites work: The Shear Coefficient in Timoshenko’s Beam Theory
cites work: On some techniques for approximating boundary conditions in the finite element method
cites work: Isogeometric analysis for sixth-order boundary value problems of gradient-elastic Kirchhoff plates
cites work: \textsc{GeoPDEs}: a research tool for isogeometric analysis of PDEs
cites work: Isogeometric Analysis
Wikidata QID: Q129854258
DOI: 10.1016/J.CMA.2018.04.028
description: scientific article; zbMATH DE number 7188248