Microscopic Validation of a Variational Model of Epitaxially Strained Crystalline Films

DOI10.1137/19M1240010zbMath1456.74120arXiv1902.06561OpenAlexW3122930274MaRDI QIDQ5147556

Leonard Kreutz, Paolo Piovano

Publication date: 27 January 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.06561

zbMATH Keywords

elasticitywettinggamma-convergencerigidity estimatelattice mismatchdiscrete-to-continuum passageatomistic energy

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Thin films (74K35) Molecular, statistical, and kinetic theories in solid mechanics (74A25)

Related Items (6)

Microscopical justification of solid-state wetting and dewetting ⋮ From atomistic systems to linearized continuum models for elastic materials with voids ⋮ Derivation of a heteroepitaxial thin-film model ⋮ Equilibrium configurations for epitaxially strained films and material voids in three-dimensional linear elasticity ⋮ Microscopical justification of the Winterbottom problem for well-separated lattices ⋮ Surface evolution of elastically stressed films

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