Static analysis of functionally graded rectangular nanoplates based on nonlocal third order shear deformation theory

Year 2016, Volume: 8 Issue: 2, 87 - 100, 19.08.2016

Maziar Janghorban

https://doi.org/10.24107/ijeas.252147

Cited By: 3

https://izlik.org/JA86CB26HL

Abstract

This paper presents size dependent formulations based on nonlocal elasticity theory and third
order shear deformation theory. The formulations are then applied to the bending analysis of
functionally graded rectangular nanoplates with simply supported boundary condition.
Similar to functionally graded macro plates, it is assumed that the material properties of
nanoplates are varied across the thickness direction by a power rule of the volume fraction of
the constituents. Numerical results illustrate the influence of the power-law exponent and the
nonlocality on the deflections of simply supported rectangular nanoplates.  

Keywords

Nonlocal elasticity theory , Third order shear deformation theory , Functionally graded nanoplate , Bending analysis