Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures
type: Item
instance of: scholarly article
title: Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures
author: Sergei Khakalo
author: Anssi Laukkanen
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2021-12-13T00:00:00Z
Mathematics Subject Classification ID: 74C05
Mathematics Subject Classification ID: 74S22
zbMATH DE Number: 7442793
zbMATH Keywords: strain gradient elasticity
zbMATH Keywords: strain gradient plasticity
zbMATH Keywords: isogeometric analysis
zbMATH Keywords: cellular structures
zbMATH Keywords: size effects
MaRDI profile type: Publication
full work available at URL: j.cma.2021.114225
OpenAlex ID: W3212669749
cites work: Elastic materials with couple-stresses
cites work: Micro-structure in linear elasticity
cites work: Theories of elasticity with couple-stress
cites work: Indentation size effects in crystalline materials: a law for strain gradient plasticity
cites work: The physics of plastic deformation
cites work: On the role of gradients in the localization of deformation and fracture
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 unified treatment of strain gradient plasticity
cites work: A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. I: small deformations
cites work: A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. II: Finite deformations
cites work: A gradient theory of small-deformation isotropic plasticity that accounts for the Burgers vector and for dissipation due to plastic spin
cites work: On the plasticity of single crystals: Free energy, microforces, plastic-strain gradients
cites work: On a framework for small-deformation viscoplasticity: Free energy, microforces, strain gradients
cites work: A one-dimensional theory of strain-gradient plasticity: formulation, analysis, numerical results
cites work: Thermodynamics applied to gradient theories involving the accumulated plastic strain: the theories of Aifantis and Fleck and Hutchinson and their generalization
cites work: A mathematical basis for strain-gradient plasticity theory. I: Scalar plastic multiplier
cites work: Generalizing \(J_2\) flow theory: fundamental issues in strain gradient plasticity
cites work: Mechanism-based strain gradient plasticity. I: Theory
cites work: Mechanism-based strain gradient plasticity. II: Analysis
cites work: On the continuum formulation of higher-gradient plasticity for single and polycrystals
cites work: Plastic deformation of freestanding thin films: experiments and modeling
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: Form II of Mindlin's second strain gradient theory of elasticity with a simplification: for materials and structures from nano- to macro-scales
cites work: Anisotropic strain gradient thermoelasticity for cellular structures: plate models, homogenization and isogeometric analysis
cites work: A second strain gradient damage model with a numerical implementation for quasi-brittle materials with micro-architectures
cites work: Anisotropic and dispersive wave propagation within strain-gradient framework
cites work: Continuum modelling of frequency dependent acoustic beam focussing and steering in hexagonal lattices
cites work: Gradient-dependent plasticity: Formulation and algorithmic aspects
cites work: Q4337007
cites work: The prediction of a size effect in micro-indentation
cites work: Q4260179
cites work: Non-uniform plastic deformation of micron scale objects
cites work: Finite element implementation and numerical issues of strain gradient plasticity with application to metal matrix composites
cites work: A 2D finite element implementation of the Fleck-Willis strain-gradient flow theory
cites work: A mathematical basis for strain-gradient plasticity theory. II: Tensorial plastic multiplier
cites work: Strain gradient effects on cyclic plasticity
cites work: An improved strain gradient plasticity formulation with energetic interfaces: theory and a fully implicit finite element formulation
cites work: Size effects in phenomenological strain gradient plasticity constitutively involving the plastic spin
cites work: Influence of material parameters and crystallography on the size effects describable by means of strain gradient plasticity
cites work: A comparison between crystal and isotropic strain gradient plasticity theories with accent on the role of the plastic spin
cites work: Modelling the torsion of thin metal wires by distortion gradient plasticity
cites work: On the finite element implementation of higher-order gradient plasticity, with focus on theories based on plastic distortion incompatibility
cites work: Fracture in distortion gradient plasticity
cites work: Strain gradient plasticity modeling and finite element simulation of Lüders band formation and propagation
cites work: Strain gradient plasticity modeling of the cyclic behavior of laminate microstructures
cites work: Lagrange multiplier based vs micromorphic gradient-enhanced rate-(in)dependent crystal plasticity modelling and simulation
cites work: Strain-gradient elastic-plastic material models and assessment of the higher-order boundary conditions
cites work: On lower order strain gradient plasticity theories
cites work: Computational strain gradient crystal plasticity
cites work: A numerical basis for strain-gradient plasticity theory: Rate-independent and rate-dependent formulations
cites work: Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
cites work: Isogeometric analysis of the Cahn-Hilliard phase-field model
cites work: Isogeometric analysis of high order partial differential equations on surfaces
cites work: Isogeometric shell analysis with Kirchhoff-Love elements
cites work: An isogeometric analysis approach to gradient damage models
cites work: A higher-order phase-field model for brittle fracture: formulation and analysis within the isogeometric analysis framework
cites work: A locking-free model for Reissner–Mindlin plates: Analysis and isogeometric implementation via NURBS and triangular NURPS
cites work: Isogeometric analysis of 2D gradient elasticity
cites work: Three-dimensional isogeometric solutions to general boundary value problems of Toupin's gradient elasticity theory at finite strains
cites work: Variational formulation and isogeometric analysis for fourth-order boundary value problems of gradient-elastic bar and plane strain/stress problems

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: Isogeometric analysis of first and second strain gradient elasticity

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: Variational formulations, model comparisons and numerical methods for Euler–Bernoulli micro- and nano-beam models

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: Locking-free variational formulations and isogeometric analysis for the Timoshenko beam models of strain gradient and classical elasticity

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: Variational formulations and isogeometric analysis for the dynamics of anisotropic gradient-elastic Euler-Bernoulli and shear-deformable beams

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: A geometrically nonlinear Euler-Bernoulli beam model within strain gradient elasticity with isogeometric analysis and lattice structure applications

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: Isogeometric analysis for sixth-order boundary value problems of gradient-elastic Kirchhoff plates

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: Kirchhoff-Love shells within strain gradient elasticity: weak and strong formulations and an \(H^3\)-conforming isogeometric implementation

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: Geometrically nonlinear higher-gradient elasticity with energetic boundaries

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: The non-singular Green tensor of Mindlin's anisotropic gradient elasticity with separable weak non-locality

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: A hierarchy of simplified constitutive models within isotropic strain gradient elasticity

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: Inspection of free energy functions in gradient crystal plasticity

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: Some practical procedures for the solution of nonlinear finite element equations

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: Q4371291

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: Analysis-suitable \(G^1\) multi-patch parametrizations for \(C^1\) isogeometric spaces

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: Material rate dependence and mesh-sensitivity in localization problems

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: Efficient quadrature for NURBS-based isogeometric analysis

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: Reduced quadrature for FEM, IGA and meshfree methods

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: On the validity range of strain-gradient elasticity: a mixed static-dynamic identification procedure

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: Matrix representations for 3D strain-gradient elasticity

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: Numerical implementation and validation of a consistently homogenized higher order plasticity model

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: Efficient computational homogenization of simple elastoplastic microstructures using a shear band approach

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: Efficient and accurate two-scale FE-FFT-based prediction of the effective material behavior of elasto-viscoplastic polycrystals

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: On polarization-based schemes for the FFT-based computational homogenization of inelastic materials

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: An efficient solution scheme for small-strain crystal-elasto-viscoplasticity in a dual framework

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: Truss Modular Beams with Deformation Energy Depending on Higher Displacement Gradients

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: Macroscopic description of microscopically strongly inhomogenous systems: a mathematical basis for the synthesis of higher gradients metamaterials

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: Linear pantographic sheets: asymptotic micro-macro models identification

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: Strain gradient and generalized continua obtained by homogenizing frame lattices

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: Variational asymptotic homogenization of beam-like square lattice structures

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: Isogeometric Kirchhoff-Love shell formulation for elasto-plasticity

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: Energy approach to brittle fracture in strain-gradient modelling

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (cites work)
cites work: Adaptive \(w\)-refinement: a new paradigm in isogeometric analysis

Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures (DOI)
DOI: 10.1016/J.CMA.2021.114225