Modelling of Electric Field and Stress in Piezoelectric Composite Plates under Bending Load: Application to a Curved Bender
(2014) 23rd International Symposium on Applications of Ferroelectrics — Location: Penn State, USA (12.May.2014)
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- Abstract
- Piezoelectric benders are laminated structures composed of passive and active layers made in elastic and piezoelectric materials respectively. They are compact and lightweight devices with high dynamic capacities which find applications in various fields as actuators or sensors. However to size correctly structures which include piezoelectric materials, a good estimation of both electric field and stress is necessary since piezoelectric materials are brittle or could be depolarized by a too high reverse electric field. Benders have been widely studied but most of proposed models do not take into consideration the evolution of the electric field in the thickness layers and its impact on the stress. Some refined theories exist but they are too complicated and do not offer effective tools for mechanical and electrical sizing. Previous research, [1] has shown that the electric field could vary of more than 10 percent in the layer, leading in some cases to a 100 percent error on the stress. Another study [2], suggests that classical beam theory, often used in bender sizing, does not provide a good estimation for the stress because assumptions used in classical beam theories i.e. null transverse stress or null transverse strain are not consistent with piezoelectric materials’ physics. In this study, constitutive equations of laminated structures are developed based on Kirchhoff-Love plate theory. Cross sections are supposed to remain planar after deformation. Bonding between layers is supposed to ensure strain continuity. Moreover, the model incorporates the effect of the curvature on the electric field across the thickness of the layers. The analytical model obtained is compared to finite-element models of a curved monomorph loaded by electric field and mechanical load, showing the improvement on the evaluation of the electric field and the stress in the structures. [1] G. Beckers, B. Dehez, “Modelling of Electric Field and Stress in Piezoelectric Composite under Bending Load in Quasi-static Conditions”, Proceedings of 2013 Joint UFFC, EFTF and PFM International Symposim, 21 -25 July 2013, Prague, Czech Republic. [2] G. Beckers, B. Dehez, “Design and Modeling of a Quasi-Static Peristaltic Piezoelectric Micropump”, Proceedings of 2013 International Conference on Electrical Machines and Systems, October 26-29, Busan, Korea.
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Beckers, G., & Dehez, B. (2014). Modelling of Electric Field and Stress in Piezoelectric Composite Plates under Bending Load: Application to a Curved Bender. International Symposium on Applications of Ferroelectrics (ISAF). Published. 23rd International Symposium on Applications of Ferroelectrics, Penn State, USA. https://doi.org/10.1109/ISAF.2014.6922962