The non-singular Green tensor of gradient anisotropic elasticity of Helmholtz type

DOI10.1016/j.euromechsol.2014.10.006zbMath1406.74085OpenAlexW2094250534MaRDI QIDQ1669546

Markus Lazar, Giacomo Po

Publication date: 3 September 2018

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.2014.10.006

zbMATH Keywords

anisotropygradient elasticityGreen tensor

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Micromechanical theories (74A60) Analysis of microstructure in solids (74N15)

Related Items (9)

Construction of Nonsingular Stress Fields for Non-Euclidean Model in Planar Deformations ⋮ The non-singular Green tensor of Mindlin's anisotropic gradient elasticity with separable weak non-locality ⋮ Three-dimensional nonlocal anisotropic elasticity: a generalized continuum theory of Ångström-mechanics ⋮ Deformation of an elastic second gradient spherical body under equatorial line density of dead forces ⋮ The atomistic representation of first strain-gradient elastic tensors ⋮ Flexoelectric effect induced in an anisotropic bar with cubic symmetry under torsion ⋮ Variational formulations and isogeometric analysis for the dynamics of anisotropic gradient-elastic Euler-Bernoulli and shear-deformable beams ⋮ Anisotropy in strain gradient elasticity: simplified models with different forms of internal length and moduli tensors ⋮ Dislocation singularities in layered magneto-electro-elastic plates

Cites Work

• Nonsingular stress and strain fields of dislocations and disclinations in first strain gradient elasticity
• Green's function and Eshelby's tensor based on a simplified strain gradient elasticity theory
• Conservation and balance laws in linear elasticity of grade three
• A boundary element method for solving 2-D and 3-D static gradient elastic problems. I: Integral formulation.
• Screw dislocation in nonlocal anisotropic elasticity
• Micro-structure in linear elasticity
• Introduction to Elasticity Theory for Crystal Defects
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