H. Hariri, Y. Bernard, and A. Razek, Finite element model of a beam structure with piezoelectric, patches using RL shunt circuits, AC2011, 14th International Conference on active systems for dynamics markets, pp.124-131, 2011.

M. Y. Yasin, N. Ahmad, and M. N. Alam, Finite element analysis of actively controlled smart plate with patched actuators and sensors, Latin American Journal of Solids and Structures, vol.7, issue.3, pp.227-247, 2010.

A. Sharma, R. Kumar, R. Vaish, and V. Chauhan, Lead-free piezoelectric materials' performance in structural active vibration control, Journal of Intelligent Material Systems and Structures, vol.25, issue.13, pp.1596-1604, 2014.

J. Zhang, L. He, and E. Wang, Active Vibration Control of Piezoelectric Intelligent Structures, Journal of Computers, p.3, 2010.

J. M. Rodriguez-fortun, J. Orus, J. Alfonso, F. B. Gimeno, J. A. Castellanos et al., ASME Transactions on, pp.221-229, 2013.

G. M. Qu, Y. Y. Li, L. Cheng, and B. Wang, Analysis of a piezoelectric composite plate with cracks, Journal of composite structures, vol.72, issue.1, pp.111-118, 2006.

Y. J. Yan and L. H. Yam, Online detection of crack damage in composite plates using embedded piezoelectric actuators/sensors and wavelet analysis, Journal of Composite Structures, vol.58, issue.1, pp.29-38, 2002.

Z. Jinsong, G. Change, and H. Likun, Piezoelectric-based Crack Detection Techniques of Concrete Structures: Experimental Study, Journal of Wuhan University of Technology-Mater. Sci. Ed, vol.27, issue.2, pp.346-352, 2012.

B. Chomette, A. Fernandes, and J. Sinou, Cracks Detection Using Active Modal Damping and Piezoelectric Components, pp.619-631, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00840749

S. B. Kim and H. Sohn, Instantaneous reference-free crack detection based on polarization characteristics of piezoelectric materials, Smart Mater. Struct, vol.16, 2007.

I. Jeong-beom and C. Fu-kuo, Detection and monitoring of hidden fatigue crack growth using a built-in piezoelectric sensor/actuator network: I. Diagnostics, Smart Materials and Structures, 06, vol.13, pp.609-620, 2004.

J. Cai, W. Chen, W. Yan, and C. Lim, Application of EMI Technique for Crack Detection in Continuous Beams Adhesively Bonded with Multiple Piezoelectric Patches, Mechanics of Advanced Materials and Structures, 01, vol.15, pp.1-11, 2008.

Y. Lingyu, M. Sepandarmaz, G. Valery, G. Victor, Z. Paul et al., Dual Mode Sensing with Low-Profile Piezoelectric Thin Wafer Sensors for Steel Bridge Crack Detection and Diagnosis, Advances in Civil Engineering, vol.2012, pp.1-10, 2012.

S. Sunyoto, Y. Bernard, and A. Razek, Design and realization of a linear piezoelectric actuator for orthopaedic applications, Journal of Advanced Science, vol.18, issue.0, pp.162-165, 2006.
URL : https://hal.archives-ouvertes.fr/hal-01227341

C. Hernandez, Y. Bernard, and A. Razek, A global assessment of piezoelectric actuated micro-pumps, European. Physical Journal Applied Physics, vol.51, issue.2, pp.1-8, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00606640

Y. Bernard and A. Razek, Piezoelectric valve modeling and design, pp.124-131, 2011.

H. Hariri, Y. Bernard, and A. Razek, Locomotion principles for piezoelectric miniature robots, Proceedings on actuator 10, pp.1015-1020, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00557539

Y. Bernard, C. Hernandez, and A. Razek, Radial traveling wave ultrasonic motor design, Proceedings of Actuator14, pp.663-666, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00948032

T. James, F. , A. Sedat, N. Robert, and E. , Piezoelectric Sensors and Sensor Materials, Journal of Electroceramics, vol.12, issue.4, pp.257-272, 1998.

T. Zimmermann, M. Neuburger, P. Benkart, F. J. Hernandez-guillen, C. Pietzka et al., Piezoelectric GaN sensor structures, IEEE Electron Device Letters, vol.27, issue.5, pp.309-312, 2006.

J. Terada, Vibration piezoelectric acceleration sensor, The Journal of the Acoustical Society of America, vol.127, issue.3, 2010.

H. Christopher and A. , Piezoelectric energy harvesting, Energy Conversion and Management, vol.50, pp.1847-1850, 2009.

Q. Zhu, Y. Li, Y. He, and M. Guan, Snapthrough piezoelectric energy harvesting, Journal of Sound and Vibration, vol.333, issue.18, 2014.

Q. Zhu, Y. Li, Y. He, and M. Guan, Piezoelectric Energy Harvesting in Automobiles, Ferroelectrics, vol.467, issue.1, p.1, 2014.

H. William, B. Hu-david, and L. , Tree-inspired piezoelectric energy harvesting, Journal of Fluids and Structures, p.28, 2012.

R. Corcolle, E. Salaün, F. Bouillault, Y. Bernard, C. Richard et al., The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, vol.27, pp.205-214, 2008.

G. L. De-abreu, J. F. Ribeiro, and V. Steffen, Finite element modeling of a plate with localized piezoelectric sensors and actuators, journal of the Braz. Soc. of Mech. Sci. & Eng, vol.26, issue.2, 2004.

N. Jalili, Piezoelectric-Based Vibration Control, From Macro to Micro-Nano Scale Systems, 2009.

C. C. Lin and H. N. Huang, Vibration control of beam-plates with bonded piezoelectric sensors and actuators, Journal of computers and structures, vol.73, pp.239-248, 1999.

C. H. Nguyen and S. J. Pietrzko, FE analysis of a PZT-actuated adaptive beam with vibration damping using a parallel R-L shunt circuit, journal of finite elements in analysis and design 42, pp.1231-1239, 2006.

C. H. Park, Dynamics modeling of beams with shunted piezoelectric elements, journal of Sound and vibration, vol.268, pp.115-129, 2003.

V. V. Varadan, Closed loop finite element modeling of active/passive damping in structural vibration control, journal of smart materials and structures, vol.5, pp.685-694, 1996.

J. S. Chen, S. H. Chen, and K. C. Wu, Analysis of asymmetric piezoelectric composite beam, DTIP, pp.25-27, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00257688

O. Kayacik, J. C. Sloss, J. M. Adali, S. Sadek, and I. S. , Integral equation approach for piezo patch vibration control of beams with various types of damping, Journal of computers and structures, vol.86, pp.357-366, 2008.

L. Pons, H. Rodríguez, E. Rocon, J. F. Fernández, and M. Villegas, Practical consideration of shear strain correction factor and Rayleigh damping in models of piezoelectric transducers, Journal of Sensors and Actuators A, vol.115, pp.202-208, 2004.

R. Corcolle, F. Bouillault, and Y. Bernard, Modeling of a plate with piezoelectric patches: Damping application, IEEE Transactions on Magnetics, vol.44, issue.6, pp.798-801, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00352288

G. R. Liu, Vibration control simulation of laminated composite plates with integrated piezoelectric, Journal of sound and vibration, vol.220, pp.827-846, 1999.

S. Y. Wang, Dynamic stability analysis of finite element modeling of piezoelectric composite plates, International Journal of Solids and Structures, vol.41, pp.745-764, 2003.

Z. K. Kusculuoglu and T. Royston, Finite element formulation for composite plates with piezoceramic layers for optimal vibration control applications, Journal of Smart Mater. And Struct, vol.14, pp.1139-1153, 2005.

Y. W. Kwon and H. Bang, The Finite Element Method Using MATLAB, 2000.

M. Liu and D. G. Gorman, Formulation of Rayleigh damping and its extensions, Journal of computers and structures, vol.57, issue.2, pp.277-285, 1995.

L. Pons, H. Rodríguez, E. Rocon, J. F. Fernández, and M. Villegas, Practical consideration of shear strain correction factor and Rayleigh damping in models of piezoelectric transducers, Journal of Sensors and Actuators A, vol.115, pp.202-208, 2004.

H. Hariri, Y. Bernard, and A. Razek, Analytical and finite element model for unimorph piezoelectric actuator: Actuator design, Proceedings of Piezo2011, sestriere, pp.71-75, 2011.

Q. M. Wang and L. E. Cross, Performance analysis of piezoelectric cantilever bending actuators, Journal of Ferroelectrics, vol.215, pp.187-213, 1998.