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Elastic radial deformation of multiwall carbon nanotubes (MWNTs) underhydrostatic pressure is investigated within the continuum elasticapproximation. The thin-shell theory, with accurate elastic constants andinterwall couplings, allows us to estimate the critical pressure $p_c$ abovewhich the original circular cross-section transforms into radially corrugatedones. Emphasis is placed on the rigorous formulation of the van der Waalsinteraction between adjacent walls, which we analyze using two differentapproaches. Possible consequences of the radial corrugation in the physicalproperties of pressurized MWNTs are also discussed.

Thin-shell theory based analysis of radially pressurized multiwall carbon nanotubes