The line-tension approximation as the dilute limit of linear-elastic dislocations

From MaRDI portal
Publication:493126

DOI10.1007/s00205-015-0869-7zbMath1457.35079OpenAlexW1528345620WikidataQ59965843 ScholiaQ59965843MaRDI QIDQ493126

Adriana Garroni, Michael Ortiz, Sergio Conti

Publication date: 11 September 2015

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-015-0869-7




Related Items (29)

Variational modeling of dislocations in crystals in the line-tension limitA proof of Taylor scaling for curvature-driven dislocation motion through random arrays of obstaclesLimits of elastic models of converging Riemannian manifoldsGradient Theory for Geometrically Nonlinear Plasticity via the Homogenization of DislocationsHomogenization of vector-valued partition problems and dislocation cell structures in the planeDuality arguments for linear elasticity problems with incompatible deformation fieldsHomogenization of energies defined on $1$-rectifiable currentsSharp rigidity estimates for incompatible fields as a consequence of the Bourgain Brezis div-curl resultElasto-plastic evolution of single crystals driven by dislocation flowA variational model for dislocations at semi-coherent interfacesRenormalized energy of a dislocation loop in a 3D anisotropic bodyLine-tension limits for line singularities and application to the mixed-growth caseSpace-time integral currents of bounded variationPlasticity as the \(\Gamma\)-limit of a two-dimensional dislocation energy: the critical regime without the assumption of well-separatenessSemidiscrete Modeling of Systems of Wedge Disclinations and Edge Dislocations via the Airy Stress Function MethodA model for dislocations in epitaxially strained elastic filmsDerivation of strain-gradient plasticity from a generalized Peierls-Nabarro modelAnalytic and geometric properties of dislocation singularitiesDensity of polyhedral partitionsFrom atomistic model to the Peierls-Nabarro model with \({\gamma}\)-surface for dislocationsConvergence and non-convergence of many-particle evolutions with multiple signsModeling of dislocations and relaxation of functionals on 1-currents with discrete multiplicityOn the Motion of Curved Dislocations in Three Dimensions: Simplified Linearized ElasticityStrain-Gradient Plasticity as the $\Gamma$-Limit of a Nonlinear Dislocation Energy with Mixed GrowthKinematics of elasto-plasticity: validity and limits of applicability of \(\mathbf{F}=\mathbf{F}^{\mathrm{e}}\mathbf{F}^{\mathrm{p}}\) for general three-dimensional deformationsDerivation of a Line-Tension Model for Dislocations from a Nonlinear Three-Dimensional Energy: The Case of Quadratic GrowthThe continuum limit of interacting dislocations on multiple slip systemsDynamics of discrete screw dislocations on glide directionsDislocation microstructures and strain-gradient plasticity with one active slip plane



Cites Work


This page was built for publication: The line-tension approximation as the dilute limit of linear-elastic dislocations