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Structural Engineering and Mechanics
  Volume 19, Number 4, March10 2005, pages 441-457
DOI: http://dx.doi.org/10.12989/sem.2005.19.4.441
 


Transient wave propagation in piezoelectric hollow spheres subjected to thermal shock and electric excitation
H. L. Dai and X. Wang

 
Abstract
    An analytical method is presented to solve the problem of transient wave propagation in a transversely isotropic piezoelectric hollow sphere subjected to thermal shock and electric excitation. Exact expressions for the transient responses of displacements, stresses, electric displacement and electric potentials in the piezoelectric hollow sphere are obtained by means of Hankel transform, Laplace transform, and inverse transforms. Using Hermite non-linear interpolation method solves Volterra integral equation of the second kind involved in the exact expression, which is caused by interaction between thermo-elastic field and thermo-electric field. Thus, an analytical solution for the problem of transient wave propagation in a transversely isotropic piezoelectric hollow sphere is obtained. Finally, some numerical results are carried out, and may be used as a reference to solve other transient coupled problems of thermo-electro-elasticity.
 
Key Words
    thermo-electro-elastic; wave propagation; piezoelectric hollow sphere; electric excitation; thermal shock.
 
Address
H. L. Dai and X. Wang
Department of Engineering Mechanics, The School of Civil Engineering and Mechanics, Shanghai Jiao Tong University, Shanghai 200240, P. R. China
 

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