Gradient elasticity based on Laplacians of stress and strain
From MaRDI portal
Publication:1702858
DOI10.1007/s10659-017-9644-3zbMath1462.74026OpenAlexW2694637493MaRDI QIDQ1702858
C. Broese, Charalampos Tsakmakis, Dimitrios E. Beskos
Publication date: 1 March 2018
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10659-017-9644-3
dispersion relationnon-equilibrium thermodynamicsmicromorphic elasticitythree-parameter modelmicro-strain elasticityMindlin micro-structured material
Thermodynamics in solid mechanics (74A15) Micromechanical theories (74A60) Elastic materials (74B99)
Related Items (4)
Nonlocal elasticity of Klein-Gordon type: fundamentals and wave propagation ⋮ Comparison of Laplacian based explicit and implicit gradient elasticity with reference to one-dimensional problems in statics and dynamics ⋮ Continuum thermomechanics of nonlinear micromorphic, strain and stress gradient media ⋮ Computationally efficient higher-order three-scale method for nonlocal gradient elasticity problems of heterogeneous structures with multiple spatial scales
Cites Work
- Unnamed Item
- Unnamed Item
- Mindlin's micro-structural and gradient elasticity theories and their thermodynamics
- Erratum to: ``Mindlin's micro-structural and gradient elasticity theories and their thermodynamics
- A generalized continuum theory with internal corner and surface contact interactions
- Generalized thermomechanics with dual internal variables
- Using the gradients of temperature and internal parameters in continuum thermodynamics
- On the thermomechanics of continuous media with diffusion and/or weak nonlocality
- Thermodynamics applied to gradient theories involving the accumulated plastic strain: the theories of Aifantis and Fleck and Hutchinson and their generalization
- Nonlinear microstrain theories
- Wave dispersion in gradient elastic solids and structures: a unified treatment
- On the thermomechanics of interstitial working
- The thermodynamics of elastic materials with heat conduction and viscosity
- Elastic materials with couple-stresses
- Edge contact forces and quasi-balanced power
- Discussion of finite deformation viscoelasticity laws with reference to torsion loading
- How contact interactions may depend on the shape of Cauchy cuts in \(N\)th gradient continua: approach ``à la d'Alembert
- Nonconventional thermodynamics, indeterminate couple stress elasticity and heat conduction
- Uniqueness for plane crack problems in dipolar gradient elasticity and in couple-stress elasticity
- A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. I: small deformations
- On first strain-gradient theories in linear elasticity
- Micro-structure in linear elasticity
- DEFORMATION WAVES IN MICROSTRUCTURED SOLIDS AND DISPERSION
- Continuum Thermodynamics
- Implicit gradient elasticity
- The Mode III Crack Problem in Microstructured Solids Governed by Dipolar Gradient Elasticity: Static and Dynamic Analysis
- Microcontinuum Field Theories
- The Method of Virtual Power in Continuum Mechanics. Part 2: Microstructure
This page was built for publication: Gradient elasticity based on Laplacians of stress and strain
