Line-tension limits for line singularities and application to the mixed-growth case (Q6077924)

scientific article; zbMATH DE number 7742487

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English	Line-tension limits for line singularities and application to the mixed-growth case	scientific article; zbMATH DE number 7742487

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instance of

scholarly article

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title

Line-tension limits for line singularities and application to the mixed-growth case (English)

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Calculus of Variations and Partial Differential Equations

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publication date

27 September 2023

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full work available at URL

https://arxiv.org/abs/2207.01526

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MaRDI profile type

MaRDI publication profile

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cites work

Lattice incompatibility and a gradient theory of crystal plasticity

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Variational convergence for functionals of Ginzburg-Landau type

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Variational equivalence between Ginzburg-Landau, XY spin systems and screw dislocations energies

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Metastability and dynamics of discrete topological singularities in two dimensions: a $\Gamma$-convergence approach

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Q4954179

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New estimates for elliptic equations and Hodge type systems

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$\Gamma$-convergence analysis of a generalized $XY$ model: fractional vortices and string defects

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Vortex density models for superconductivity and superfluidity

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Korn's second inequality and geometric rigidity with mixed growth conditions

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On the characterization of geometrically necessary dislocations in finite plasticity

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A multi-phase transition model for dislocations with interfacial microstructure

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Sharp rigidity estimates for incompatible fields as a consequence of the Bourgain Brezis div-curl result

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Singular kernels, multiscale decomposition of microstructure, and dislocation models

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Modeling of dislocations and relaxation of functionals on 1-currents with discrete multiplicity

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Dislocation microstructures and strain-gradient plasticity with one active slip plane

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Derivation of strain-gradient plasticity from a generalized Peierls-Nabarro model

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

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Renormalized Energy and Forces on Dislocations

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$\Gamma$-convergence analysis of systems of edge dislocations: the self energy regime

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A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity

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Derivation of Linearized Polycrystals from a Two-Dimensional System of Edge Dislocations

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Plasticity as the $\Gamma$-limit of a two-dimensional dislocation energy: the critical regime without the assumption of well-separateness

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Strain-Gradient Plasticity as the $\Gamma$-Limit of a Nonlinear Dislocation Energy with Mixed Growth

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Gradient theory for plasticity via homogenization of discrete dislocations

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A variational model for dislocations in the line tension limit

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Derivation of a Line-Tension Model for Dislocations from a Nonlinear Three-Dimensional Energy: The Case of Quadratic Growth

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Analysis of Stable Screw Dislocation Configurations in an Antiplane Lattice Model

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Lower Bounds for Generalized Ginzburg--Landau Functionals

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On a mesoscopic many-body Hamiltonian describing elastic shears and dislocations

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Lower semicontinuity and existence of minimizers in incremental finite‐strain elastoplasticity

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Gradient Theory for Geometrically Nonlinear Plasticity via the Homogenization of Dislocations

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Elastic Energy Stored in a Crystal Induced by Screw Dislocations: From Discrete to Continuous

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Kinematic description of crystal plasticity in the finite kinematic framework: A micromechanical understanding of $\mathbf F=\mathbf F^e\mathbf F^p$

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Lower bounds for the energy of unit vector fields and applications

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Vortices in the magnetic Ginzburg-Landau model

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Continuum thermodynamic models for crystal plasticity including the effects of geometrically-necessary dislocations

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Line-Tension Model for Plasticity as the $\Gamma$-Limit of a Nonlinear Dislocation Energy

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Identifiers

arXiv ID

2207.01526

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Mathematics Subject Classification ID

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10.1007/S00526-023-02552-0

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Sitelinks

Mathematics(1 entry)

mardi Publication:6077924