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P7.04 - Shock Induced Depolarization and Current Generation in Ferroelectrics 
April 9, 2015   9:15am - 9:30am

Ferroelectric generators are used to generate large magnitude current pulse by impacting a polarized ferroelectric material like PZT (lead zirconate titanate) 95/5. The impact induced shock wave induces a ferroelectric to anti-ferroelectric phase transition in the material causing depolarization. At high impact speeds, the material undergoes breakdown leading to charges to appear inside the material. Depending on the loading conditions and the electromechanical boundary conditions, the current or voltage profiles obtained vary. The exact physics of this process is largely unknown. In this paper, we explore the large deformation dynamic response of a ferroelectric material. Using the Maxwell�s equations, conservation laws and the second law of thermodynamics, we derive the governing equations for the phase boundary propagation as well as the driving force acting on it. We allow for the phase boundary to contain surface charges which introduces the contribution of curvature of phase boundary in the governing equations and the driving force. This type of analysis accounts for the dielectric breakdown of the material and resulting conduction in the ferroelectric. Next, we implement the equations derived to solve a one dimensional impact problem on a ferroelectric material under different electrical boundary conditions. The constitutive law is chosen to be piecewise quadratic in polarization and quadratic in the strain. We adopt a shock capturing finite volume scheme to solve the phase boundary propagation problem. We solve for the current profile generated in short circuit case and for voltage profile in open circuited case.

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