Longitudinal vibrations of nano-rods by stress-driven integral elasticity. Issue 15 (3rd August 2019)

• Record Type: Journal Article
• Authors: Barretta, R.; Faghidian, S. Ali; Luciano, R.
• Is Part Of: Mechanics of advanced materials and structures. Volume 26:Issue 15(2019)
• Page Start: 1307
• Page End: 1315
• Publication Date: 2019-08-03
• Subjects: Free vibrations -- stress-driven nonlocal integral elasticity -- strain gradient elasticity -- Hellinger-Reissner variational principle -- nano-rod -- CNT -- NEMS; Composite materials -- Mechanical properties -- Periodicals; Composite construction -- Periodicals; 620.118
• DOI: 10.1080/15376494.2018.1432806
• Languages: English
• ISSNs: 1537-6494

Abstract

ABSTRACT: In elastic continuous structures defined on bounded domains, Eringen strain-driven integral model leads to ill-posed elastostatic problems since the constitutive stress field, got by convoluting the elastic strain field with an averaging kernel, conflicts with equilibrium requirements. The innovative stress-driven integral model, recently proposed in literature, is instead able to overcome inconsistencies of Eringen theory. In the present paper, size-dependent free vibrations of nano-rods are investigated by adopting the stress-driven nonlocal model equipped with Helmholtz kernel. Natural frequencies and mode shapes of nano-rods are established by an effective analytical solution strategy and are compared with those obtained by strain gradient theory.