A new approach to three-dimensional exact solutions for functionally graded piezoelectric laminated plates

A paper presents the sampling surfaces (SaS) method and its implementation for the three-dimensional (3D) exact analysis of functionally graded (FG) piezoelectric laminated plates. According to this method, we introduce inside the nth layer In not equally spaced SaS parallel to the middle surface of...

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Bibliographic Details
Published in:Composite structures 2013-12, Vol.106, p.33-46
Main Authors: Kulikov, G.M., Plotnikova, S.V.
Format: Article
Language:English
Subjects:
3D exact solutions
Composite structures
Electroelasticity
Exact solutions
Functionally graded piezoelectric plate
Functionally gradient materials
Laminates
Mathematical analysis
Piezoelectricity
Plates
Polynomials
Sampling surfaces method
Three dimensional
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Summary:A paper presents the sampling surfaces (SaS) method and its implementation for the three-dimensional (3D) exact analysis of functionally graded (FG) piezoelectric laminated plates. According to this method, we introduce inside the nth layer In not equally spaced SaS parallel to the middle surface of the plate and choose displacement vectors and electric potentials of these surfaces as basic plate variables. Such choice of unknowns with the consequent use of Lagrange polynomials of degree In−1 in the thickness direction for each layer leads to a very compact form of governing equations of the FG piezoelectric plate formulation. This fact gives an opportunity to derive the 3D exact solutions of electroelasticity for thick and thin FG piezoelectric laminated plates with a specified accuracy utilizing a sufficient number of SaS, which are located at interfaces and Chebyshev polynomial nodes.
ISSN:0263-8223
1879-1085
DOI:10.1016/j.compstruct.2013.05.037