A REBO-potential-based model for graphene bending by \(\Gamma\)-convergence

DOI10.1007/s00205-018-1236-2zbMath1400.82330arXiv1706.07751OpenAlexW3100235385MaRDI QIDQ1661667

Antonino Favata, Cesare Davini, Roberto Paroni

Publication date: 16 August 2018

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.07751

zbMATH Keywords

homogenization theorybending energy\(\Gamma\)-limit energy

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of nanostructures and nanoparticles (82D80)

Uses Software

• MDBenchmarks

Cites Work

• Geometry and self-stress of single-wall carbon nanotubes and graphene via a discrete model based on a 2nd-generation REBO potential
• An atomistic-based finite deformation membrane for single layer crystalline films
• Internal lattice relaxation of single-layer graphene under in-plane deformation
• How graphene flexes and stretches under concomitant bending couples and tractions
• Hexagonal lattices with three-point interactions
• Homogenization of a graphene sheet
• Curvature-dependent surface energy for free-standing monolayer graphene
• Homogenization of hexagonal lattices
• Homogenization of hexagonal lattices

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