A nonlocal strain gradient model for buckling analysis of laminated composite nanoplates using CLPT and TSDT

In this work, a nonlocal strain gradient model is developed for the buckling analysis of laminated nanocomposite plates. The nonlocal and strain gradient constitutive equations are invoked to reformulate the governing equations of classical plate theory and third-order shear deformation plate theory. The resulting governing equations are solved using Navier's approach. The potential of the proposed model, to capture the effects of nonlocality and strain gradient is illustrated using a parametric study. A comparison between the critical buckling loads predicted by both the nonlocal strain gradient model and the classical continuum models is shown via different examples. The results obtained using the proposed model agree well with the literature in the limiting sense of no nonlocal and strain gradient effects.

Automated summary

A nonlocal strain gradient model is proposed for the buckling analysis of laminated nanocomposite plates. The governing equations of classical plate theory and third-order shear deformation plate theory are reformulated using nonlocal and strain gradient constitutive equations. The potential of the proposed model to capture the effects of nonlocality and strain gradient is illustrated through a parametric study.