Stable identification of linear isotropic Cosserat parameters: bounded stiffness in bending and torsion implies conformal invariance of curvature
type: Item
instance of: scholarly article
title: Stable identification of linear isotropic Cosserat parameters: bounded stiffness in bending and torsion implies conformal invariance of curvature
zbMATH Open document ID: 1397.74011
author: Patrizio Neff
author: Jena Jeong
author: Andreas Fischle
published in: Acta Mechanica
publication date: 2010-10-04T00:00:00Z
Mathematics Subject Classification ID: 74A35
Mathematics Subject Classification ID: 74A60
zbMATH DE Number: 5795158
MaRDI profile type: Publication
full work available at URL: s00707-009-0230-z
OpenAlex ID: W1973711486
cites work: Effect of couple-stresses on the elastic bending of beams
cites work: Q4272014
cites work: An incorrect inequality in micropolar elasticity theory
cites work: Micropolar theory of elasticity. Translated from the Japanese original by Tao Zhang
cites work: Microcontinuum Field Theories
cites work: Q3040606
cites work: Finite element implementation of large deformation micropolar plasticity exhibiting isotropic and kinematic hardening effects
cites work: Elasticita asimmetrica
cites work: Q4151246
cites work: Saint-Venant's Problem for Inhomogeneous and Anisotropic Cosserat Elastic Solids
cites work: Existence, Uniqueness and Stability in Linear Cosserat Elasticity for Weakest Curvature Conditions
cites work: A numerical study for linear isotropic Cosserat elasticity with conformally invariant curvature
cites work: Q5327758
cites work: Q4337002
cites work: Effects of couple-stresses in linear elasticity
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: Mean field modeling of isotropic random Cauchy elasticity versus microstretch elasticity
cites work: Subgrid interaction and micro-randomness - novel invariance requirements in infinitesimal gradient elasticity
cites work: On the origin of size effects in small-strain elasticity of solid polymers
cites work: Q3741177
cites work: On the Solution of the Torsion Problem in Linear Elasticity with Microstructure
cites work: A unifying treatise of variational principles for two types of micropolar continua
cites work: Elastic materials with couple-stresses
cites work: Couple stress based strain gradient theory for elasticity
DOI: 10.1007/S00707-009-0230-Z
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description: scientific article; zbMATH DE number 5795158