Fundamental And Thermomechanical Bending Analysis Of Nano Functionally Graded Sandwich Plate

Nano functionally graded(FG)sandwich plate has a bright prospect in the application on the designing of new memory device,sensor and so on due to its excellent mechanical properties and strong design ability.The above structures will be usually subjected to the external pressure and temperature field in actual use,accordingly,the fundamental and thermomechanical bending problems of a nano sandwich which consists of FG layers and homogeneous core under the transverse distribution is analyzed,respectively.Main contents of this study are as follows:1.Consider the scale effect in the nano structure,based on the nonlocal elasticity,the fundamental bending problem of the nano FG sandwich plate is studied through the principle of minimum potential.The governing equations which satisfied several of shear deformation plate theories are obtained,and the analytical solution of displacements satisfied the simply supported boundary condition is given.2.Thermomechanical bending analysis is studied based on the research of fundamental bending problem.Consider the thermal stress caused by the temperature variation,the governing equations are obtained.The analytical solution of displacements with the function of temperature field is given,and the stress distribution is solved via an effective method.3.In numerical analysis,the results of fundamental and thermomechanical bending problems calculated by the present regressive solution in macro-scale is consistent with existed literatures which based on the classical elasticity.The influences from several of factors to the deflection and stress of the nano FG sandwich plate,such as the parameter of scale effect,function of temperature field,shear deformation plate theory,and so on,are studied in different numerical examples.Furthermore,the applicable range for the nonlocal elasticity in this research is discussed,and stress distribution along the thickness direction is studied in detail.The conclusions in this paper could provide the theoretical basis for the designing of nano FG sandwich structure,and this study has some reference value in this field.