Analysis and Numerical Modelling of Ceramic Piezoelectric Beam Behavior Under the Effect of External Solicitations

(*) Corresponding author

Authors' affiliations

DOI's assignment:
the author of the article can submit here a request for assignment of a DOI number to this resource!
Cost of the service: euros 10,00 (for a DOI)


The piezoelectric materials have become indispensable in many technological applications. Nowadays, they are present in many applications fields such as in applied mechanics, aeronautics, biomechanics and civil engineering in order to control their behavior and predict their life span. These materials have an inverse piezoelectric effect which allows them to control the form and to present any neither noise nor vibration at any time or position on the structure. In this study we are interested in the bending behavior analysis and modelling of a ceramic beam under external solicitations using numerical simulations based on the finite element methods. The modelling permit to simulate the deformations in a piezoelectric ceramic beam subjected to an electric field and to simple mechanical stress taking into account the electromechanical coupling. It has been found that the obtained analytical results are in a very good agreement with those obtained by numerical modeling. As a result, the interest of such modelling analysis allows the design, the conception and the optimization of mechanical systems based on piezoelectric elements. These materials known as smart or “intelligent” materials, are often used to measure and/or to control finite deformations or vibrations in mechanical systems, so that to prevent their plastic deformations or their total failure
Copyright © 2013 Praise Worthy Prize - All rights reserved.


Piezoelectric Material; Ceramic Beam; Intelligent Structure; Finite Elements Modelling

Full Text:



Eyraud L., Applications electroacoustic of Piezoelectric ceramics. Part I: Introduction to the study of piezoelectricity. Graduate course Acoustics: National Institute of Applied Sciences of Lyon, Department of Electrical Engineering, 1994, 205p.

Schaufele A.B., Hardtl K.H., Ferroelastic properties of lead zicronate titanate ceramics, J. Am. Ceram. Soc., 1996, vol. 79, N°10, pp. 2637-2640.

Jaffe B., Cook W, Jaffe H., Piezoelectric ceramics. London, Academic Press, 1971, 317 p.

Berlincourt D., Piezoelectric ceramics: Characteristics and applications, J. Acoust. Soc. Am. 1981, vol.70, N°6, pp. 1586-1595.

De Boe P., The piezo-laminate applied to structural dynamics, Doctoral thesis at the University of Liege, 2003.

Smits J. G., Choi W. S., Equations of state including the thermal domain of piezoelectric and pyroelectric heterogeneous bimorph, Ferroelectrics, Vol. 141, pp. 271–276, 1993.

Rogacheva N. N., Chou C. C., Chang S. H., Electromechanical analysis of a symmetric piezoelectrical/elastic laminate structure: theory and experiment, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 45(2), March 1998.

Chang S. H., Chou C. C., Electromechanical analysis of an asymmetric piezoelectrical/elastic laminate structure: theory and experiment, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 46(2), March 1999.

Weinberg M. S., Working equations for piezoelectric actuators and sensors, IEEE ASME, Journal of MEMS, 8(4), 1999.

Woollett R. S., Leblanc C. L., Ferroelectric nonlinearities in transducer ceramics, IEEE Trans. Ultrason., Ferroelec., Freq. Contr., 1973, vol. Su-20, n°1, pp. 24-31.

L. T. Tenek, E. C. Aifantis, Deformation of a Two-Dimensional, Shear Deformable Cantilever Beam Using Gradient Elasticity and Finite Differences, (2008) International Review of Mechanical Engineering (IREME) 2 (2), pp. 248-255.

M. Abdi, A. Karami Mohammadi, Numerical Simulation and Active Vibration Control of Piezoelectric Smart Structures, (2009) International Review of Mechanical Engineering (IREME) 3 (2), pp. 175-181.


  • There are currently no refbacks.

Please send any question about this web site to
Copyright © 2005-2023 Praise Worthy Prize