Variational modeling of dislocations in crystals in the line-tension limit
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Publication:1620868
DOI10.4171/176-1/27zbMath1402.82018OpenAlexW4244140488MaRDI QIDQ1620868
Pilar Ariza, Adriana Garroni, Sergio Conti, Michael Ortiz
Publication date: 14 November 2018
Full work available at URL: https://doi.org/10.4171/176-1/27
Related Items (2)
Elasto-plastic evolution of single crystals driven by dislocation flow ⋮ Derivation of strain-gradient plasticity from a generalized Peierls-Nabarro model
Cites Work
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- Currents and dislocations at the continuum scale
- Asymptotic behaviour of a pile-up of infinite walls of edge dislocations
- Homogenization of the Peierls-Nabarro model for dislocation dynamics
- The line-tension approximation as the dilute limit of linear-elastic dislocations
- Density of polyhedral partitions
- Singular kernels, multiscale decomposition of microstructure, and dislocation models
- Metastability and dynamics of discrete topological singularities in two dimensions: a \(\Gamma\)-convergence approach
- Modeling of dislocations and relaxation of functionals on 1-currents with discrete multiplicity
- A multi-phase transition model for dislocations with interfacial microstructure
- Gradient theory for plasticity via homogenization of discrete dislocations
- Functionals defined on partitions in sets of finite perimeter. I: Integral representation and Gamma-convergence
- Functionals defined on partitions in sets of finite perimeter. II: Semicontinuity, relaxation and homogenization
- \(\Gamma\)-convergence analysis of systems of edge dislocations: the self energy regime
- Local minimizers of the Ginzburg-Landau energy with magnetic field in three dimensions
- A phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals.
- Vortex density models for superconductivity and superfluidity
- Dislocation microstructures and strain-gradient plasticity with one active slip plane
- Homogenization of fully overdamped Frenkel-Kontorova models
- Homogenization of vector-valued partition problems and dislocation cell structures in the plane
- A variational model for dislocations in the line tension limit
- Discrete crystal elasticity and discrete dislocations in crystals
- Geometric rigidity for incompatible fields and an application to strain-gradient plasticity
- Line-Tension Model for Plasticity as the $\Gamma$-Limit of a Nonlinear Dislocation Energy
- Local minimizers with vortex filaments for a Gross-Pitaevsky functional
- Convergence of Interaction-Driven Evolutions of Dislocations with Wasserstein Dissipation and Slip-Plane Confinement
- Equation of State Calculations by Fast Computing Machines
- Dynamics for Systems of Screw Dislocations
- $\Gamma$-Limit of a Phase-Field Model of Dislocations
- Elastic Energy Stored in a Crystal Induced by Screw Dislocations: From Discrete to Continuous
- Renormalized Energy and Forces on Dislocations
- Variational convergence for functionals of Ginzburg-Landau type
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