Buckling Analysis Of Size-dependent Piezoelectric Cylindrical Nanoshells

Piezoelectric materials can produce charge under external loads, whereas under applied electric field they can produce stress or mechanical movement. With the development of preparation technology of materials and application of piezoelectric micro-nano-material, therefore, piezoelectric nanostructures have attracted researchers’ extensive attention. Piezoelectric nano-materials not only have coupled mechanical and electrical properties, but also demonstrate many novel characteristics in mechanics, electrics, magnetics, acoustics and optics etc, so it has been widely used in various types of nano-devices.Piezoelectric nanostructures have the dimension varying from several hundred nanometers to just a few nanometers. On this scale, the size effects become very important. Therefore, the size effect should be taken into account in theoretical and experimental studies of piezoelectric nanostructures. It should be pointed out that Eringen’s nonlocal theory has been widely accepted and applied to the mechanical properties of nanostructures. The bending buckling, linear vibration, nonlinear vibration, postbuckling and wave propagation problems of carbon nanotubes and grapheme sheets have been extensively studied using the nonlocal nanobeam model, nonlocal nanoplate model and nonlocal nanoshell model.In this paper, based on the nonlocal piezoelectricity elastic theory and by using the Love shell theory and first-order shear deformation shell theory, research of the buckling problems of piezoelectric nanoshell under the function of mechanical load, temperature, voltage and critical buckling loads under different conditions are obtained. First of all, based on Hamilton theory, we obtain the equations and boundary conditions of nanoshell motion control. Then, using the Navier method, and the analysis solution of the critical buckling load of simply supported boundary conditions is given. Finally, the effect of nonlocal parameters, temperature, voltage change, radius-to-thickness ratio, length-to-radius ratio of piezoelectric cylindrical nanoshell buckling load is discussed. At the same time, we contrasted the results based on the two kinds of cylindrical shells.