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The study of dynamic behavior of functionally graded piezoelectric materials and an application to a contact problem
Author(s):
B.
M.
Singh;
J.
Rokne;
R.
S.
Dhaliwal
Journal:
Quart. Appl. Math.
65
(2007),
155-162.
MSC (2000):
Primary 74A30
Posted:
February 12, 2007
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Abstract:
In the present paper, the dynamic behavior of functionally graded piezoelectric materials is investigated when it is under anti-plane mechanical loading and in-plane electrical loading. It is assumed that the shear modulus, the piezoelectric modulus, the dielectric modulus and mass density of FGPM vary continuously as functions of  and  . By using Fourier transforms the solution of equilibrium equations is obtained in closed form. The expressions for displacement and electrical potential are obtained in terms of one unknown function. Finally the results are applied to obtain a solution of the moving contact problem on the surface of the functionally graded piezoelectric material (FGPM).
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Additional Information:
B.
M.
Singh
Affiliation:
Department of Computer Science, The University of Calgary, Calgary, Alberta, Canada T2N-1N4
J.
Rokne
Affiliation:
Department of Computer Science, The University of Calgary, Calgary, Alberta, Canada T2N-1N4
Email:
rokne@cpsc.ucalgary.ca
R.
S.
Dhaliwal
Affiliation:
Department of Mathematics and Statistics, The University of Calgary, Calgary, Alberta, Canada T2N-1N4
Email:
dhali.r@shaw.ca
PII:
S0033-569X-07-01029-0
Received by editor(s):
April 14, 2006
Posted:
February 12, 2007
Copyright of article:
Copyright
2007,
Brown University
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