Comparison of Laplacian based explicit and implicit gradient elasticity with reference to one-dimensional problems in statics and dynamics

DOI10.1016/j.euromechsol.2021.104270zbMath1481.74079OpenAlexW3146437983MaRDI QIDQ2035250

C. Broese, Sofia Papargyri-Beskou, Charalampos Tsakmakis

Publication date: 24 June 2021

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2021.104270

zbMATH Keywords

viscoelasticityaxial bar loadingbar vibrationEringen micromorphic elasticityexplicit gradient elasticityimplicit gradient elasticityMindlin gradient elasticity

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Bifurcation and buckling (74G60) Elastic materials (74B99)

Related Items

Computationally efficient higher-order three-scale method for nonlocal gradient elasticity problems of heterogeneous structures with multiple spatial scales

Cites Work

• 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 classification of higher-order strain-gradient models --- linear analysis
• One-dimensional dynamically consistent gradient elasticity models derived from a discrete microstructure. I: Generic formulation
• One-dimensional dynamically consistent gradient elasticity models derived from a discrete microstructure. II: Static and dynamic response
• Elastic materials with couple-stresses
• Experiments and theory in strain gradient elasticity.
• Gradient elasticity based on Laplacians of stress and strain
• Response of gradient-viscoelastic bar to static and dynamic axial load
• Static and dynamic analysis of a gradient-elastic bar in tension
• Nonlinear theory of simple micro-elastic solids. I
• On first strain-gradient theories in linear elasticity
• Micro-structure in linear elasticity
• On causality of the gradient elasticity models
• The Mode III Crack Problem in Microstructured Solids Governed by Dipolar Gradient Elasticity: Static and Dynamic Analysis
• Microcontinuum Field Theories

This page was built for publication: Comparison of Laplacian based explicit and implicit gradient elasticity with reference to one-dimensional problems in statics and dynamics