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Finite element analysis of a multilayer piezoelectric actuator taking into account the ferroelectric and ferroelastic behaviors
Affiliation:1. LPMM, UMR CNRS 7554, ENSAM Metz 4, rue Augustin Fresnel, 57078 Metz Cedex 3, France;2. ESSTIN, LEMTA 2, rue Jean Lamour, 54519 Vandoeuvre les Nancy, France;1. Department of Mechanical Engineering, ManavRachna University, Faridabad, State Haryana-121004, India;2. Department of Mechanical Engineering, IIMT College of Engineering, Greater Noida, U.P-201310, India;3. Department of Mechanical Engineering, Rama University, Kanpur,U.P-208025, India;4. School of Engineering, GBU, Greater Noida, U.P-201310, India;1. Institute of Construction and Architecture, Slovak Academy of Sciences, 84503 Bratislava, Slovakia;2. Faculty of Special Technology, Alexander Dubcek University of Trencin, 91150 Trencin, Slovakia;3. Computer Modeling and Simulation Group, Department of Civil Engineering, University of Akron, Akron, OH 44325-3905, USA
Abstract:Ferroelasticity and ferroelectricity are the non-linear behaviors exhibited by piezoceramics, especially in the case of high electric field or stress. Many studies have focused on the role of ferroelastic and ferroelectric switching in fracture of actuators. However, engineering reliability analyzes are carried out with tools like finite element software that do not take into account these non-linear phenomena. To overcome such a problem, a simplified phenomenological constitutive law describing the non-linear behavior of piezoceramics has been developed and implemented in the commercial software ABAQUS. This finite element tool is used to study the effects of applied voltage on the electroelastic field concentrations ahead of electrodes in a multilayer piezoelectric actuator. The study lies on the experimental observations made by Shindo et al. Y. Shindo, M. Yoshida, F. Narita, K. Horiguchi, Electroelastic field concentrations ahead of electrodes in multilayer piezoelectric actuators: experiment and finite element simulation, J. Mech. Phys. Solids 52 (2004) 1109–1124]. Electroelastic analysis on piezoceramics with surface electrode showed that high values of stress and electric displacement arose in the neighborhood of the electrode tip. Thus, the strain, stress and electric displacement concentrations were calculated and the numerical results showed that ferroelectric switching arose in the area of the electrode tip, causing a change in remnant polarization and remnant strain.
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