Stability analysis of an embedded single-walled carbon nanotube with small initial curvature based on nonlocal theory. Issue 11 (18th August 2017)

• Record Type: Journal Article
• Authors: Arefi, Azam; Nahvi, Hassan
• Is Part Of: Mechanics of advanced materials and structures. Volume 24:Issue 11(2017)
• Page Start: 962
• Page End: 970
• Publication Date: 2017-08-18
• Subjects: Carbon nanotube -- snap-through -- nonlocal elasticity theory -- stability analysis -- Timoshenko beam theory -- waviness; Composite materials -- Mechanical properties -- Periodicals; Composite construction -- Periodicals; 620.118
• DOI: 10.1080/15376494.2016.1196800
• Languages: English
• ISSNs: 1537-6494

Abstract

ABSTRACT: Many experimental observations have shown that most nanostructures, such as carbon nanotubes, are often characterized by a certain degree of waviness along their axial direction. This geometrical imperfection has profound effects on the mechanical behavior of carbon nanotubes. In the present work, stability of a slightly curved carbon nanotube under lateral loading is investigated based on Eringen's nonlocal elasticity theory. Euler Bernoulli and Timoshenko beam theories are employed to obtain equilibrium equations. Winkler-Pasternak elastic foundation is used to approximate the effect of matrix. Effects of initial curvature, nonlocal parameter, beam length, and elastic foundation parameters on initiation of critical conditions are investigated.