Recently, the mechanical behavior of micro-/nano-structures has sparked an ongoing
debate, which leads to a fundamental question: what steps can be taken to investigate the …

The classical continuum mechanics assumes that a material is a composition of an infinite
number of particles each of which is a point that can only move and interact with its nearest …

A debated issue, in applications of Eringen's nonlocal model of elasticity to nanobeams, is
the paradox concerning the solution of simple beam problems, such as the cantilever under …

Nonlocal elastic models have attracted an increasing amount of attention in the past years,
due to the promising feature of providing a viable simulation for scale effects in nano …

The Eringen nonlocal theory of elasticity formulated in differential form has been widely used
to address problems in which size effect cannot be disregarded in micro-and nano …

In the strain-driven model of nonlocal elasticity proposed by Eringen, the elastic strain is
defined by a Fredholm integral equation in which the stress is the output of a convolution …

The most widely used theory in the analysis of nanostructures is Eringen's nonlocal elasticity
theory. But many researchers have mentioned that this theory has a paradox for the …

Abstract Nonlocal theories of Continuum Mechanics are widely used in order to assess size
effects in nano-structures. In this paper, free vibrations of nano-beams are investigated by …

The longitudinal vibration analysis of small-scaled rods is studied in the framework of the
nonlocal strain gradient theory. The equations of motion and boundary conditions for the …

In this work the problem of the in-plane free vibrations (axial and bending) of a Bernoulli–
Euler nanobeam using the mixed local/nonlocal Eringen elasticity theory is studied. The …