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

DOI10.1512/iumj.2011.60.4339zbMath1251.49017arXiv0907.5548OpenAlexW2951752491MaRDI QIDQ2884647

Marco Cicalese, Marcello Ponsiglione, Roberto Alicandro

Publication date: 30 May 2012

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.5548

zbMATH Keywords

calculus of variationscrystalsdiscrete-to-continuum limitstopological singularitiesanalysis of microstructure

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Stress concentrations, singularities in solid mechanics (74G70) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Energy minimization in equilibrium problems in solid mechanics (74G65) Methods involving semicontinuity and convergence; relaxation (49J45) Analysis of microstructure in solids (74N15) Crystals in solids (74N05) Variational principles of physics (49S05) Equations linearized about a deformed state (small deformations superposed on large) (74B15)

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