Enhanced numerical study of infinitesimal nonlinear Cosserat theory based on the grain size length scale assumption
type: Item
instance of: scholarly article
title: Enhanced numerical study of infinitesimal nonlinear Cosserat theory based on the grain size length scale assumption
zbMATH Open document ID: 1231.74018
author: Jena Jeong
author: Hamidréza Ramézani
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2012-02-08T00:00:00Z
Mathematics Subject Classification ID: 74A35
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 6004365
zbMATH Keywords: nonlinear Cosserat theory
zbMATH Keywords: 3D-FEM
zbMATH Keywords: materials moduli
zbMATH Keywords: grain size
zbMATH Keywords: characteristic length scale
zbMATH Keywords: modified Brazilian disk
MaRDI profile type: Publication
full work available at URL: j.cma.2010.05.017
OpenAlex ID: W1968589151
cites work: Q3285147
cites work: Nonlinear theory of simple micro-elastic solids. I
cites work: Multipolar continuum mechanics
cites work: An incorrect inequality in micropolar elasticity theory
cites work: Microcontinuum Field Theories
cites work: Elastic materials with couple-stresses
cites work: Use of couple-stress theory in elasto-plasticity
cites work: Modelling strain localization in granular materials using micropolar theory: mathematical formulations
cites work: Modelling strain localization in granular materials using micropolar theory: numerical implementation and verification
cites work: A generalisation of \(J_ 2\)-flow theory for polar continua
cites work: Localized failure analysis in elastoplastic Cosserat continua
cites work: Q4527780
cites work: Application of micropolar plasticity to post failure analysis in geomechanics
cites work: Comparison of non-local and polar modelling of softening in hypoplasticity
cites work: The size effect in foams and its theoretical and numerical investigation
cites work: A geometrically exact micromorphic model for elastic metallic foams accounting for affine microstructure. Modelling, existence of minimizers, identification of moduli and computational results
cites work: Size effects in two-dimensional Voronoi foams: A comparison between generalized continua and discrete models
cites work: A finite element model for contact analysis of multiple Cosserat bodies
cites work: Analysis of Cosserat materials with Voronoi cell finite element method and parametric variational principle
cites work: Full 3D finite element Cosserat formulation with application in layered structures
cites work: Q3040606
cites work: Analogy between micropolar continuum and grid frameworks under initial stress
cites work: Torsion of micropolar elastic beams
cites work: Torsion of a micropolar elastic prism of square cross-section
cites work: Mean field modeling of isotropic random Cauchy elasticity versus microstretch elasticity
cites work: Continuum Mechanics and Plasticity
cites work: On natural strain measures of the non linear micropolar continuum
cites work: On vectorially parameterized natural strain measures of the nonlinear Cosserat continuum
cites work: Q3932329
cites work: Finite rotations in the description of continuum deformation
cites work: Q4732636
cites work: On representations and parameterizations of motion
cites work: Q3434972
cites work: Existence, Uniqueness and Stability in Linear Cosserat Elasticity for Weakest Curvature Conditions
cites work: The Cosserat couple modulus for continuous solids is zero viz the linearized Cauchy-stress tensor is symmetric
cites work: A new paradigm: the linear isotropic Cosserat model with conformally invariant curvature energy
cites work: Stable identification of linear isotropic Cosserat parameters: bounded stiffness in bending and torsion implies conformal invariance of curvature
cites work: A numerical study for linear isotropic Cosserat elasticity with conformally invariant curvature
cites work: Herleitung einer Direktortheorie für Kontinua mit lokalen Krümmungseigenschaften
cites work: Subgrid interaction and micro-randomness - novel invariance requirements in infinitesimal gradient elasticity
cites work: Linear Cosserat Elasticity, Conformal Curvature and Bounded Stiffness
cites work: Q3776711
cites work: Asymptotic analysis of heterogeneous Cosserat media
cites work: Mechanics of extended continua: Modeling and simulation of elastic microstretch materials
cites work: Finite element analysis of stress concentration around a blunt crack in a Cosserat elastic solid
cites work: Effects of couple-stresses in linear elasticity
DOI: 10.1016/J.CMA.2010.05.017
Recommended article: Cosserat continuum modelling of grain size effects in metal polycrystals
Recommended article: A mixed finite element procedure of gradient Cosserat continuum for second-order computational homogenisation of granular materials
Recommended article: A NUMERICAL SOLUTION METHOD FOR AN INFINITESIMAL ELASTO-PLASTIC COSSERAT MODEL
Recommended article: A duality‐based coupling of Cosserat crystal plasticity and phase field theories for modeling grain refinement
Recommended article: Variationally consistent multi-scale modeling and homogenization of stressed grain growth
Recommended article: Cosserat modelling of size effects in the mechanical behaviour of polycrystals and multi-phase materials
Recommended article: Modelling of Size Effects with Gradient-Enriched Continuum Theories
Recommended article: A nonlocal multiscale discrete-continuum model for predicting mechanical behavior of granular materials
Recommended article: Grain sizes in the discrete Allen-Cahn and Cahn-Hilliard equations
description: scientific article; zbMATH DE number 6004365