Column buckling of multiwalled carbon nanotubes with interlayer radial displacements

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A multiscale projection method for the analysis of carbon nanotubes (2004, methodology): “For instance, different approaches [11,37,46,48–50,58,63] of fitting the Young s modulus for CNTs have been proposed based on linear elasticity theory.”
Analysis of nonlinear vibration for embedded carbon nanotubes (2006, background): “Based on the non-coaxial vibrational model of MWNT, Ru [10] studied the bulking of nanotubes.”
Evaluations of the effective material properties of carbon nanotube-based composites using a nanoscale representative volume element (2003, unknown): “…models, such as friction models considering the slip/stick along a CNT/ matrix interface or a van der Waals type of models (for multi-walled CNTs (Ru, 2000; Qian et al., 2002)) can certainly be developed for modeling CNT-based composites, with improved understanding based on further nanoscale…”
Mechanical properties of carbon nanotubes: theoretical predictions and experimental measurements (2003, methodology): “A shell model was used by Ru [77–82] to examine the effects of interlayer forces on the buckling and bending of CNTs; these approaches may be helpful for analyzing CNT embedded in an elastic matrix [80,81].”
Square representative volume elements for evaluating the effective material properties of carbon nanotube-based composites (2004, background): “Keywords: Carbon nanotubes; Nanocomposites; Effective properties; Finite element method”