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 …

This paper presents a comprehensive review on the development of higher-order continuum
models for capturing size effects in small-scale structures. The review mainly focus on the …

In this paper, to improve the vibrational response of microstructures, the impact of the
nonlinear modal analysis of axially functionally graded (AFG) truncated conical micro-scale …

The linear and nonlinear forced vibration response of axially functionally graded (AFG)
cylindrical truncated conical and imperfect microbeam subjected to the dynamic …

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 …

This study presents analysis on the vibration behavior of the two-dimensional functionally
graded (2D-FG) nano and microbeams which are made of two kinds of porous materials for …

The enabling emerging technologies such as nanotechnology increased the demand for
small-size devices. The proper understanding of the nonclassical behavior of nanostructures …

A nonlocal shear deformation beam theory is proposed for bending, buckling, and vibration
of nanobeams using the nonlocal differential constitutive relations of Eringen. The theory …

A microstructure-dependent Timoshenko beam model is developed using a variational
formulation. It is based on a modified couple stress theory and Hamilton's principle. The new …

Recent research studies on the application of the nonlocal continuum theory in modeling of
carbon nanotubes and graphene sheets are reviewed, and substantial nonlocal continuum …