Multiple scattering of electro-elastic waves from a buried cavity in a functionally graded piezoelectric material layer

作者：Fang, Xue-Qian^*

来源：International Journal of Solids and Structures, 2008, 45(22-23): 5716-5729.

DOI：10.1016/j.ijsolstr.2008.06.014

• Functionally graded piezoelectric material layer
• Multiple scattering of electro-elastic waves
• Dynamic stress concentration factor
• Circular cavity
• Image method

This paper presents a theoretical method to investigate the multiple scattering of electro-elastic waves and the dynamic stress around a buried cavity in a functionally graded piezoelectric material layer bonded to a homogeneous piezoelectric material. The analytical solutions of wave fields are expressed by employing wave function expansion method, and the expanded mode coefficients are determined by satisfying the boundary conditions around the cavity. The image method is used to satisfy the mechanical and electrically short conditions at the free surface of the structure. According to the analytical expression of this problem, the numerical solutions of the dynamic stress concentration factor around the cavity are presented. The effects of the piezoelectric property, the position of the cavity in the layer, the incident wave number and the material properties on the dynamic stress around the cavity are analyzed. Analyses show that the piezoelectric property has great effect on the dynamic stress in the region of higher frequencies, and the effect increases with the decrease of the thickness of FGPM layer. if the material properties of the homogeneous piezoelectric material are greater than those at the surface of the structure, the dynamic stress resulting from the piezoelectric property is greater. The effect material properties at the two boundaries of FGPM layer on the distribution of dynamic stress around the cavity is also examined.

• 出版日期2008-11
• 单位石家庄铁道大学