Buckling analysis of porous FGM sandwich nanoplates due to heat conduction via nonlocal strain gradient theory

This article deals with the analysis of buckling behavior of simply supported porous functionally graded (FG) sandwich nanoplates resting on a Kerr foundation. The material properties of the FG sandwich nanoplate considered to be dependent on temperature and graded continuously along the thickness direction. The analytical equations are obtained using Hamilton's variational principle, by considering the strain energies due to the thermal loads, and higher order nonlocal strain gradient plate theory which captures the shear deformation influences needless of any shear correction factor. Power-law model is adopted to describe continuous variation of material properties of FG sandwich nanoplate. An accurate solution for nonlinear temperature variation across the sandwich nanoplate thickness of is employed taking into account the thermal conductivity, the inhomogeneity parameter and the sandwich schemes. The numerical results computed indicate the influence of volume fraction index, nonlocal parameter, length scale parameter, porosity coefficient, Kerr foundation and temperature difference on the buckling response.