The influence of scale size on the stability of periodic solids and the role of associated higher-order gradient continuum models.
type: Item
instance of: scholarly article
title: The influence of scale size on the stability of periodic solids and the role of associated higher-order gradient continuum models.
zbMATH Open document ID: 1054.74585
DOI: 10.1016/0022-5096(96)00047-6
published in: Journal of the Mechanics and Physics of Solids
publication date: 2000-11-13T00:00:00Z
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74A60
Mathematics Subject Classification ID: 74A45
zbMATH DE Number: 1528495
author: Nicolas Triantafyllidis
author: Scott G. Bardenhagen
MaRDI profile type: Publication
full work available at URL: 0022-5096(96)00047-6
OpenAlex ID: W2001174315
cites work: The physics of plastic deformation
cites work: Derivation of higher order gradient continuum theories in 2,3-D nonlinear elasticity from periodic lattice models
cites work: Nonlocal continuum effects on bifurcation in the plane strain tension-compression test
cites work: A phenomenological theory for strain gradient effects in plasticity
cites work: Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity
cites work: A general theory of uniqueness and stability in elastic-plastic solids
cites work: On the compressive failure of fiber reinforced composites
cites work: Spatial patterns and size effects in shear zones: A hyperelastic model with higher-order gradients
cites work: Micro-structure in linear elasticity
cites work: The influence of microstructure-induced gradients on the localization of deformation in viscoplastic materials
cites work: Homogenization of nonconvex integral functionals and cellular elastic materials
cites work: Plastic bifurcation and postbifurcation analysis for generalized standard continua
cites work: Comportements local et macroscopique d'un type de milieux physiques heterogenes
cites work: Scale Effects in Media With Periodic and Nearly Periodic Microstructures, Part I: Macroscopic Properties
cites work: A gradient approach to localization of deformation. I. Hyperelastic materials
cites work: On the Comparison Between Microscopic and Macroscopic Instability Mechanisms in a Class of Fiber-Reinforced Composites
cites work: On higher order gradient continuum theories in 1-D nonlinear elasticity. Derivation from and comparison to the corresponding discrete models
description: scientific article; zbMATH DE number 1528495