Gradient elasticity based on Laplacians of stress and strain
type: Item
instance of: scholarly article
title: Gradient elasticity based on Laplacians of stress and strain
zbMATH Open document ID: 1462.74026
author: C. Broese
author: Ch. Tsakmakis
author: D. E. Beskos
published in: Journal of Elasticity
publication date: 2018-03-01T00:00:00Z
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 74A60
zbMATH DE Number: 6845599
zbMATH Keywords: three-parameter model
zbMATH Keywords: Mindlin micro-structured material
zbMATH Keywords: micromorphic elasticity
zbMATH Keywords: micro-strain elasticity
zbMATH Keywords: non-equilibrium thermodynamics
zbMATH Keywords: dispersion relation
MaRDI profile type: Publication
full work available at URL: s10659-017-9644-3
OpenAlex ID: W2694637493
cites work: Nonconventional thermodynamics, indeterminate couple stress elasticity and heat conduction
cites work: Implicit gradient elasticity
cites work: Generalized thermomechanics with dual internal variables
cites work: Erratum to: ``Mindlin's micro-structural and gradient elasticity theories and their thermodynamics''
cites work: Mindlin's micro-structural and gradient elasticity theories and their thermodynamics
cites work: The thermodynamics of elastic materials with heat conduction and viscosity
cites work: Edge contact forces and quasi-balanced power
cites work: How contact interactions may depend on the shape of Cauchy cuts in \(N\)th gradient continua: approach ``à la d'Alembert''
cites work: Q3742799
cites work: On the thermomechanics of interstitial working
cites work: Deformation waves in microstructured solids and dispersion
cites work: Microcontinuum Field Theories
cites work: Nonlinear microstrain theories
cites work: A generalized continuum theory with internal corner and surface contact interactions
cites work: The Mode III Crack Problem in Microstructured Solids Governed by Dipolar Gradient Elasticity: Static and Dynamic Analysis
cites work: The Method of Virtual Power in Continuum Mechanics. Part 2: Microstructure
cites work: Continuum Thermodynamics
cites work: Uniqueness for plane crack problems in dipolar gradient elasticity and in couple-stress elasticity
cites work: A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. I: small deformations
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: Discussion of finite deformation viscoelasticity laws with reference to torsion loading
cites work: Using the gradients of temperature and internal parameters in continuum thermodynamics
cites work: On the thermomechanics of continuous media with diffusion and/or weak nonlocality
cites work: Micro-structure in linear elasticity
cites work: On first strain-gradient theories in linear elasticity
cites work: Q4834168
cites work: Wave dispersion in gradient elastic solids and structures: a unified treatment
cites work: Elastic materials with couple-stresses
DOI: 10.1007/S10659-017-9644-3
description: scientific article; zbMATH DE number 6845599