Since the classical continuum theories are insufficient to account the small size effects of
nanobeams, the nonlocal continuum theories such as Eringen's nonlocal elasticity theory …

In this research, buckling analysis of three microbeam models are investigated based on
modified couple stress theory. Using Euler–Bernoulli beam theory (EBT), Timoshenko beam …

A new beam model is developed for the viscoelastic microbeam based on a modified couple
stress model which contains only one material length scale parameter. The governing …

The geometrically nonlinear governing differential equations of motion and the
corresponding boundary conditions are derived for the mechanical analysis of Timoshenko …

This article presents a study on the thermal buckling behavior of two-dimensional
functionally graded microbeams made of porous materials. The material composition varies …

In the first part of the paper we employ the Sheremetev-Pelekh-Reddy-Levinson hypotheses,
which yield a non-linear mathematical model of a beam taking into account geometric and …

In this article, based on the most general form of strain gradient theory (MGSGT), a novel
extended triangular Mindlin plate element is proposed. To accomplish this aim, first, the …

This chapter concerns the latest literature review devoted to micro/nanosize-dependent
mathematical models of beams, plates and shells. The review includes nonlocal theory of …

The governing equations of motion, together with the associated boundary conditions, are
derived for the second strain gradient Timoshenko micro-and nano-beams. The second …

In this paper, we provide a unified and self-consistent treatment of a functionally graded
material (FGM) microbeam with varying thermal conductivity subjected to non-uniform or …