Confinement of dislocations inside a crystal with a prescribed external strain

zbMath1417.74007arXiv1610.06852MaRDI QIDQ5742113

Marco Morandotti, Ilaria Lucardesi, Davide Zucco, Riccardo Scala

Publication date: 16 May 2019

Full work available at URL: https://arxiv.org/abs/1610.06852

zbMATH Keywords

harmonic functionsdislocationsdivergence-measure fieldscore radius approach

Mathematics Subject Classification ID

Variational inequalities (49J40) Boundary value problems for second-order elliptic equations (35J25) Classical linear elasticity (74B05) Crystalline structure (74E15) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)

Related Items (8)

Renormalized energy for dislocations in quasi-crystals ⋮ Upscaling of screw dislocations with increasing tangential strain ⋮ Properties of Screw Dislocation Dynamics: Time Estimates on Boundary and Interior Collisions ⋮ Micro-slip-induced multiplicative plasticity: existence of energy minimizers ⋮ Spectral partitions for Sturm–Liouville problems ⋮ Optimal partitioning of an interval and applications to Sturm-Liouville eigenvalues ⋮ Discrete-To-Continuum Limits of Particles with an Annihilation Rule ⋮ Derivation of a Line-Tension Model for Dislocations from a Nonlinear Three-Dimensional Energy: The Case of Quadratic Growth

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