A New CNT-Oriented Shell Theory

Abstract

A theory of linearly elastic orthotropic shells is presented, with potential application to the continuous modeling of Carbon NanoTubes. Two relevant features are: the selected type of orthotropic response, which should be suitable to capture differences in chirality; the possibility of accounting for thickness changes due to changes in inter-wall separation to be expected in multi-wall CNTs. A simpler version of the theory is also proposed, in which orthotropy is preserved but thickness changes are excluded, intended for possible application to single-wall CNTs. Another feature of both versions of the present theory is boundary-value problems of torsion, axial traction, uniform inner pressure, and rim flexure, can be solved explicitly in closed form. Various directions of ongoing further research are indicated.

References in corpus (1)

• Hypertractions and hyperstresses convey the same mechanical information

Cited by in corpus (4)

• Modal analysis of graphene-based structures for large deformations, contact and material nonlinearities
• A Shell Theory for Chiral Single-Wall Carbon Nanotubes
• Characterization of optimal carbon nanotubes under stretching and validation of the Cauchy-Born rule
• Atomistic potentials and the Cauchy-Born rule for carbon nanotubes: a review