Analytical solutions for the response of laminated composites with piezoelectric laminae

J. N. Reddy; J. A. Mitchell

doi:10.1117/12.208863

5 May 1995 Analytical solutions for the response of laminated composites with piezoelectric laminae

J. N. Reddy, J. A. Mitchell

Proceedings Volume 2442, Smart Structures and Materials 1995: Mathematics and Control in Smart Structures; (1995) https://doi.org/10.1117/12.208863
Event: Smart Structures and Materials '95, 1995, San Diego, CA, United States

Abstract

A refined theory of laminated composite plates with piezoelectric laminae is presented. The formulation is based on linear piezoelectricity, and includes the coupling between mechanical deformations and the charge equations of electrostatics. The theory developed herein is hybrid in the sense that an equivalent single layer theory is used for the mechanical displacement field whereas the potential function for piezoelectric laminae is modeled using layerwise discretization in the thickness direction. For the equivalent single layer, the third-order shear deformation theory of Reddy is used. This hybrid feature is good in that it demonstrates a way in which multilayered smart skin piezoelectric structures may be analyzed to accommodate multiple voltage inputs and/or sensor outputs.

Citation Download Citation

J. N. Reddy and J. A. Mitchell "Analytical solutions for the response of laminated composites with piezoelectric laminae", Proc. SPIE 2442, Smart Structures and Materials 1995: Mathematics and Control in Smart Structures, (5 May 1995); https://doi.org/10.1117/12.208863

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