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A two-field model provides an unifying framework for elasticity, latticedynamics and electromechanical coupling in graphene and carbon nanotubes,describes optical phonons, nontrivial acoustic branches, strain-induced gapopening, gap-induced phonon softening, doping-induced deformations, and eventhe hexagonal graphenic Brillouin zone, and thus explains and extends apreviously disparate accumulation of analytical and computational results.

Carbon Nanostructures as an Electromechanical Bicontinuum