Continuum Modelling of Nanotubes: Collapse Under Pressure

  • David J Dunstan
Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 563)


The collapse of tubes under external pressure is a problem that has been studied since the early nineteenth century, because of its importance in, for example, multi-tubed steam boilers. Some early experimental studies and theoretical results are reported by Carman (1905) and Carman and Carr (1906); for a recent discussion see Corradi et al. (2011). Experimentally, end-effects tended to dominate even for what seemed like long tubes, while theoretically, this example of Euler buckling was recognized to be one of the hardest problems in elasticity theory. Indeed, exact solutions have been found only recently.


Carbon Nanotubes Critical Pressure Elastic Ring Graphite Line Raman Signal Intensity 
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Copyright information

© CISM, Udine 2016

Authors and Affiliations

  • David J Dunstan
    • 1
  1. 1.School of Physics and AstronomyQueen Mary University of LondonLondonUK

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