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 …

This paper presents a nonlinear size-dependent Timoshenko beam model based on the
modified couple stress theory, a non-classical continuum theory capable of capturing the …

A first gradient nonlocal model of bending for Timoshenko functionally graded nanobeams
based on the Eringen model is proposed. The material properties vary in the thickness …

In the present study, the nonlinear resonant dynamics of a microscale beam is studied
numerically. The nonlinear partial differential equation governing the motion of the system is …

In this paper, thermal buckling and free/forced vibration characteristics of size-dependent
composite cylindrical nanoshell reinforced with graphene platelets (GPLs) is presented …

The nonlinear forced vibrations of a microbeam are investigated in this paper, employing the
strain gradient elasticity theory. The geometrically nonlinear equation of motion of the …

The present study investigates the nonlinear dynamics of a geometrically imperfect
microbeam numerically on the basis of the modified couple stress theory. Hamilton's …

This paper investigates the three-dimensional motion characteristics of perfect and imperfect
Timoshenko microbeams under mechanical and thermal forces; the mechanical properties …

The geometrically nonlinear size-dependent behaviour of a Timoshenko microbeam is
examined numerically, taking into account the coupled longitudinal–transverse …