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article · Mechanics of Advanced Materials and Structures

Bending analysis of functionally graded piezoelectric plates via quasi-3D trigonometric theory

In plain language

This research presents a bending analysis of functionally graded piezoelectric (FGP) material plates using a simple quasi-3D sinusoidal shear deformation theory. The governing equations and boundary conditions were derived using the principle of virtual work. The study numerically explored the impact of piezoelectricity, electric loading, and gradient index on the plate's displacement, electric displacement, electric potential, and stresses. The accuracy of the bending results was validated by comparing them with analytical solutions from other theories. Parametric studies were conducted to examine how plate thickness and electric field influence the overall electro-mechanical response of FGP plates. The findings are useful for designing smart structures and analysing piezoelectric materials.

Key takeaways

  • A quasi-3D sinusoidal shear deformation theory was applied to analyse the bending of functionally graded piezoelectric plates.
  • The study investigated the effects of piezoelectricity, electric loading, and gradient index on various plate responses.
  • Numerical results detailed the impact on displacement, electric displacement, electric potential, and stresses.
  • The accuracy of the bending analysis was confirmed by comparison with established analytical solutions.
  • Parametric studies highlighted the influence of plate thickness and electric field on the electro-mechanical behaviour.

Why it matters

Functionally graded piezoelectric materials are key components in advanced "smart" structures. Understanding their precise bending behaviour under various electrical and mechanical conditions is vital for developing reliable and efficient designs. This research provides fundamental insights into how these materials respond, contributing to their effective engineering and application.

Commercialisation angle

This research provides analytical tools and insights for the design and analysis of smart structures utilising piezoelectric materials. Engineers and designers working on advanced material applications could use these findings to predict material behaviour and optimise designs. This work represents early-stage research, contributing foundational knowledge for future material and structural engineering developments.

AI-generated from the published abstract. Always read the original work before citing.

Abstract

This work is devoted to the bending analysis of functionally graded piezoelectric (FGP) material plate by using a simple quasi-3D sinusoidal shear deformation theory under simply supported edge conditions. The governing equations and boundary conditions are derived by using the principle of virtual work. The impact of piezoelectric, electric loading, and gradient index on the displacement, electric displacement, electric potential, and stresses are explored numerically presented and discussed in detail. To check the accuracy and validity of bending results obtained from this analysis of FGP plates, results are compared with the analytical solution obtained by 3D, quasi-3D, and higher order shear deformation theories. Parametric studies are then performed to examine the effects of the thickness of the plate and the electric field on the overall electro-mechanical response of the FGP plates. The presented results are useful in design processes of smart structures and analysis from piezoelectric materials.

Research topics

  • Composite Structure Analysis and Optimization
  • Aeroelasticity and Vibration Control
  • Structural Load-Bearing Analysis

Read the original research

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DOI: 10.1080/15376494.2018.1516325

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