Boundary formulation and numerical analysis of elastic bodies with surface-bonded piezoelectric films

The behavior of an elastic body with surface-bonded piezoelectric films is studied in this paper. The elastic body is modeled by the three-dimensional equations of elasticity, while the thin piezoelectric film is modeled by the two-dimensional equations of piezoelectric shells. It is shown that the governing equations can be written as a system of boundary integral-differential equations. These equations are solved numerically by the boundary element method in an example.

[1]  D. Berlincourt,et al.  Piezoelectric transducer materials , 1965 .

[2]  Shaker A. Meguid,et al.  On the electroelastic behaviour of a thin piezoelectric actuator attached to an infinite host structure , 2000 .

[3]  H. F. Tiersten,et al.  Linear Piezoelectric Plate Vibrations , 1969 .

[4]  Yijun Liu,et al.  Analysis of the shear stress transferred from a partially electroded piezoelectric actuator to an elastic substrate , 2000 .

[5]  Junji Tani,et al.  Intelligent Material Systems: Application of Functional Materials , 1998 .

[6]  Yijun Liu,et al.  Analysis of two-dimensional thin structures (from micro- to nano-scales) using the boundary element method , 1998 .

[7]  Grant P. Steven,et al.  A Review on the Modelling of Piezoelectric Sensors and Actuators Incorporated in Intelligent Structures , 1998 .

[8]  W. Seemann,et al.  Stresses in a Thin Piezoelectric Element Bonded to a Half-Space , 1997 .

[9]  Ray W. Ogden,et al.  Elastic surface—substrate interactions , 1999, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[10]  Morton E. Gurtin,et al.  A continuum theory of elastic material surfaces , 1975 .

[11]  Singiresu S. Rao,et al.  Piezoelectricity and Its Use in Disturbance Sensing and Control of Flexible Structures: A Survey , 1994 .

[12]  Jiashi Yang,et al.  Elastic analysis of the transfer of shearing stress from partially electroded piezoelectric actuators to composite plates in cylindrical bending , 1997 .

[13]  Mohsen Shahinpoor,et al.  Micro-Electro-Mechanics of Ionic Polymeric Gels As Electrically Controllable Artificial Muscles , 1995 .

[14]  P. K. Banerjee The Boundary Element Methods in Engineering , 1994 .

[15]  Singiresu S Rao,et al.  Recent Advances in Sensing and Control of Flexible Structures Via Piezoelectric Materials Technology , 1999 .