Thermal Stability of Orthotropic Plate Based on Nonlocal nth-order Shear Deformation Theory in Nano Scale

In this article, the thermal buckling behavior of orthotropic graphene sheet (GS) resting on two parameter foundation is studied. Analysis is carried out with the consideration of small scale effects. Classical local continuum theory does not involve these effects. The most reportedly used continuum theory for analyzing small scale structures is the Eringen’s nonlocal elasticity theory. The formulation is derived using the nth-order shear deformation theory in combination with the nonlocal elasticity theory. The classical plate theory usually over predicts the critical loads. The inaccuracy is due to neglecting the effects of transverse shear and normal strains in the nanoplates. nth-order shear deformation theory represents the kinematics better, does not require shear correction factor and yield more accurate inter laminar stress distributions. Analytical solution has been used to solve the governing equations for all edges simply supported boundary conditions. The effects of the small scale on the buckling temperature of GS considering various geometrical parameters are examined. It can be seen that as the nonlocal parameter increases the percentage difference between local and nonlocal theory increases. It can also be seen that as the length to thickness ratio increases the percentage difference between nth-order and third-order shear deformation theory decreases.

کلیدواژه ها:

Thermal buckling ، Nonlocal elasticity ، Shear deformation theory ، Two parameter foundation