Singularity-free dislocation dynamics with strain gradient elasticity

DOI10.1016/j.jmps.2014.03.005zbMath1328.74016OpenAlexW2005185973MaRDI QIDQ904744

Giacomo Po, Dariush Seif, Markus Lazar, Nasr M. Ghoniem

Publication date: 14 January 2016

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmps.2014.03.005

zbMATH Keywords

singularitydislocation dynamicssolid anglegradient elasticity

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Fracture and damage (74Rxx)

Related Items (18)

Micromechanics of dislocations in solids: \(\mathbf J-, M\)-, and \(\mathbf L\)-integrals and their fundamental relations ⋮ Energy of dislocation networks ⋮ A continuum theory of screw dislocation equilibrium ⋮ The non-singular Green tensor of Mindlin's anisotropic gradient elasticity with separable weak non-locality ⋮ Theory of dislocation loops in multilayered anisotropic solids with magneto-electro-elastic couplings ⋮ A single theory for some quasi-static, supersonic, atomic, and tectonic scale applications of dislocations ⋮ Semi-analytical solution for the Lamb's problem in second gradient elastodynamics ⋮ On the gradient of the Green tensor in two-dimensional elastodynamic problems, and related integrals: distributional approach and regularization, with application to nonuniformly moving sources ⋮ A generalized approach for solution to image stresses of dislocations ⋮ The atomistic representation of first strain-gradient elastic tensors ⋮ Incompatible strain gradient elasticity of Mindlin type: screw and edge dislocations ⋮ Gradient extension of classical material models: from nuclear \& condensed matter scales to Earth \& cosmological scales ⋮ Uniformly moving screw dislocation in strain gradient elasticity ⋮ Three-dimensional interaction and movements of various dislocations in anisotropic bicrystals with semicoherent interfaces ⋮ The solid angle and the Burgers formula in the theory of gradient elasticity: line integral representation ⋮ Computational 3-dimensional dislocation elastodynamics ⋮ Effective length scale parameters of the fiber-reinforced composites ⋮ Elastic and plastic fields induced by a screw dislocation in a nanowire within Mindlin's second strain gradient theory

Cites Work

• Nonsingular stress and strain fields of dislocations and disclinations in first strain gradient elasticity
• A variational formulation of constrained dislocation dynamics coupled with heat and vacancy diffusion
• Edge dislocation in nonlocal elasticity
• The self-force on a planar dislocation loop in an anisotropic linear- elastic medium
• Fast parallel algorithms for short-range molecular dynamics
• On plastic deformation and the dynamics of 3D dislocations
• Screw dislocation in nonlocal anisotropic elasticity
• The Eshelby stress tensor, angular momentum tensor and dilatation flux in gradient elasticity
• A non-singular continuum theory of dislocations
• On first strain-gradient theories in linear elasticity
• Micro-structure in linear elasticity
• Stress and Couple-Stress Fields Produced by Circular Dislocations in an Isotropic Elastic Micropolar Continuum
• Nonlocal Continuum Field Theories
• Dislocations in gradient elasticity revisited
• The self-stress of dislocations and the shape of extended nodes
• Dislocations in Materials with Couple Stress
• The Forces Exerted on Dislocations and the Stress Fields Produced by Them
• The solid angle and the Burgers formula in the theory of gradient elasticity: line integral representation
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