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 …

A new size-dependent beam model is introduced on the basis of hyperbolic shear
deformation beam and modified strain gradient theory. The governing differential equations …

In this paper, the nonlinear bending and vibrational characteristics of porous tubes are
analyzed for the first time. Within the framework of the nonlocal strain gradient theory, a size …

In this paper, for the first time, the size dependent vibration behavior of a rotating non-
uniform functionally graded (FG) Timoshenko and Euler–Bernoulli microbeam based on the …

In this study, bending response of non-homogenous microbeams embedded in an elastic
medium is investigated based on modified strain gradient elasticity theory in conjunctions …

Free flexural vibration characteristics of functionally graded (FG) microbeams with geometric
imperfection are explored numerically, taking into account the size effect phenomenon …

Based on the Timoshenko beam theory, von Kármán geometric nonlinearity assumption and
the modified couple stress theory, this paper presents linear and nonlinear free vibration …

In this study, general non-uniform material-varying micro-beam models under a moving
harmonic load/mass are investigated. Material variation is modeled by combining axial and …

Free vibration behavior of bidirectional-functionally graded, double-tapered rotating micro-
beam is investigated. An improved mathematical model based on Timoshenko beam theory …

In the current research paper, a quasi-3D beam theory is developed for free vibration
analysis of functionally graded microbeams. The volume fractions of metal and ceramic are …