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 is a review paper containing the governing equations and analytical solutions of the
classical and shear deformation theories of functionally graded straight beams. The …

Thermal and mechanical buckling analysis of micro plate reinforced with functionally graded
(FG) graphene nanoplatelets (GNPs) is studied in this paper based on modified strain …

In this paper, the free vibration behaviour of bi-dimensional functionally graded (BDFG)
microbeams under arbitrary boundary conditions (BCs) is studied. Based on the frame work …

In this paper, modified strain-gradient theory is developed for size-dependent formulation of
micro plate reinforced with functionally graded graphene nanoplatelets. The reinforced …

Finite element models of microstructure-dependent geometrically nonlinear theories for
axisymmetric bending of circular plates, which accounts for through-thickness power-law …

The primary objective of this paper is two-fold:(a) to formulate the governing equations of the
Euler–Bernoulli and Timoshenko beams that account for moderate rotations (more than …

In this paper, size dependent free vibration, buckling and dynamic stability of bi-directional
functionally graded (BDFG) microbeam embedded in elastic medium are investigated. The …

In this study, buckling and post-buckling analysis and small amplitude vibrations in the
pre/post-buckling regimes of functionally graded beams resting on a nonlinear elastic …

The current article presents a thorough investigation into the natural frequencies and mode
shapes of thin doubly curved shallow microshells by taking into account the influence of …