The Analysis Of Surface Displacement Of Double-laver Piezoelectric Material Under The Axisymmetric Normal Loads

Piezoelectric material is a kind of intelligent material which can achieve mutualconversion between electric energy and mechanical energy. Because the piezoelectricmaterial has the special properties and can be applied in many aspects, it received thewidespread attention from the researchers. At present, there are a lot of research on thetwo-dimensional problem for piezoelectric thin film and coating. This paper investigatedthe axisymmetric problem for the double-layer piezoelectric materials. Firstly, weconstruct a mathematical model to simulate piezoelectric coating-piezoelectric layer-homogeneous conductive half space structure; Secondly, by using the Hankel integraltransformation technology, the mathematical model is converted to the integral expressions;Finally, the surface displacement field is obtained by using the numerical methods, whenthree layer structures loaded by a concentrated load and the axisymmetric uniformlydistributed load. In this paper, we will assume that homogeneous conductive half spacesurface adhere to double-layer piezoelectric materials with different material properties.This paper discussed the surface displacement field of the double-layer piezoelectricmaterials, when the concentrated load and the axisymmetric uniformly distributed load onits surface. The effect of the elastic parameter, piezoelectric constant and dielectricconstant on the surface displacement field were also considered. The main results in thispaper are listed as follows:(1)The fundamental solution of the piezoelectric coating-piezoelectric layer-homogeneous conductive half space structure under the axisymmetric loads is constructed.The fundamental solution of the double piezoelectric structure will be given by in anintegral form. The results provide the the basis for the further study on the axisymmetriccontact problem of the double-layer piezoelectric materials.(2)By solving the surface displacement field for double-layer piezoelectric materialsstructure which is loaded by he concentrated load and the axisymmetric uniformlydistributed, it is found that the elastic parameter, piezoelectric contant and dielectricconstant in the coating of the double-layer piezoelectric materials structure will have agreat influence on the surface displacement field. The results will be helpful for enhancing the capacity of resistance to surface deformation by adjusting the material parameters.