Analytical solutions of functionally graded piezoelectric circular plates subjected to axisymmetric loads

2010 ◽  
Vol 215 (1-4) ◽  
pp. 287-305 ◽  
Author(s):  
Y. Wang ◽  
R. Q. Xu ◽  
H. J. Ding
Keyword(s):  
Analytical Solutions ◽  
Functionally Graded ◽  
Circular Plates ◽  
Functionally Graded Piezoelectric

scholarly journals An Electroelastic Solution for Functionally Graded Piezoelectric Circular Plates under the Action of Combined Mechanical Loads

Materials ◽  
2018 ◽  
Vol 11 (7) ◽  
pp. 1168 ◽  
Author(s):  
Zhi-xin Yang ◽  
Xiao-ting He ◽  
Xue Li ◽  
Yong-sheng Lian ◽  
Jun-yi Sun
Keyword(s):  
Functionally Graded ◽  
Circular Plates ◽  
Mechanical Loads ◽  
Functionally Graded Piezoelectric

Three-Dimensional Piezoelectricity Solutions for Uniformly Loaded Circular Plates of Functionally Graded Piezoelectric Materials With Transverse Isotropy

2013 ◽  
Vol 80 (4) ◽  
Author(s):  
X.-Y. Li ◽  
H.-J. Ding ◽  
W.-Q. Chen ◽  
P.-D. Li
Keyword(s):  
Circular Plate ◽  
Electric Fields ◽  
Piezoelectric Materials ◽  
Transverse Isotropy ◽  
Three Dimensional ◽  
Functionally Graded ◽  
Radial Coordinate ◽  
Circular Plates ◽  
Functionally Graded Piezoelectric Materials ◽  
Functionally Graded Piezoelectric

This paper considers the bending of a uniformly loaded transversely isotropic piezoelectric circular plate with material properties being arbitrary functions of the thickness coordinate. The displacements and electric potential are expressed in terms of appropriate polynomials of r, the radial coordinate, with coefficients being undetermined functions of z, the axial coordinate. The differential equations satisfied by eight z-dependent functions are derived for the general case. For the uniform load, the eight functions can be obtained through a step-by-step integration with properly incorporating the boundary conditions at the upper and lower surfaces of the plate. The three-dimensional solutions for functionally graded piezoelectric circular plates with simply-supported or clamped boundary are presented. These solutions can be readily degenerated into those for a homogenous circular plate. Three numerical examples are finally given to show the validity of the analysis, the effect of material heterogeneity and the merits of the present analyses. Since no ad hoc hypotheses on the distribution of the elastic and electric fields are introduced, the present three-dimensional solutions could provide a useful way for checking the validity of various approximate theories and numerical methods.

Modelling of functionally graded piezoelectric ultrasonic transducers

2007 ◽  
Author(s):  
Wilfredo M. Rubio ◽  
Flavio Buiochi ◽  
Julio C. Adamowski ◽  
Emilio C. N. Silva
Keyword(s):  
Functionally Graded ◽  
Ultrasonic Transducers ◽  
Functionally Graded Piezoelectric
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