Finite element prediction method of electrode-containing ferroelectric single crystal based on phase-field method analysis

Abstract

The invention discloses a finite element prediction method, under the action of force-electricity-heat multi-field coupling, of electrode-containing ferroelectric single crystal based on phase-field method analysis. The method comprises the following steps of establishing a new phase-field model with the multi-field coupling based on a Landau theory and an expansion interface model; obtaining the model establishment and the grid division of the electrode-containing ferroelectric single crystal by using ANSYS finite element software, and extracting node information and unit information; importing the obtained node information, the obtained unit information and considered different boundary condition information, and realizing a solution to the force-electricity-heat nonlinear coupling problem of the electrode-containing ferroelectric single crystal by using an FEAP fast solver; importing field variables which are obtained through FEAP finite element solution into a postprocessing program which is written by Fortran, and obtaining visual field variable results by using TECPLOT software. According to the method provided by the invention, not only is the process simple, but also the adaptability and the stability are good; a commercial finite element program can be developed to flexibly adapt to problem changes.

Description

technical field [0001] The invention belongs to an analysis method for a ferroelectric single crystal containing an electrode, in particular to a finite element prediction method for a ferroelectric single crystal containing an electrode under the coupling action of force-electricity-thermal multi-field coupling based on the phase field method analysis, and at the same time relates to a method A predictive system implementing the method. technical background [0002] Ferroelectric materials refer to a class of materials with ferroelectricity. Ferroelectricity was first discovered by the Frenchman Valasek in 1920. Substances with ferroelectricity are called ferroelectrics. Among the 32 crystallographic point groups in solid state physics, only 10 point groups of l, 2, m, mm2, 4, 4mm, 3m, 6, and 6m have special polarity directions that can produce spontaneous polarization. In ferroelectric crystals, there is usually an electric domain structure, and the domains and the phases...

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Problems solved by technology

[0008] (1) The ferroelectric single crystal with electrodes is mainly simulated under the environment of an external electric field. For the calculation and simulation under the complex environment of force, electricity and heat, the calculation is difficult and the calculation time is long

[0009] (2) At present, most of the ferroelectric single crystal models based on the phase field method simulation are mainly aimed at the finite element simulation of a single electrode or a single crack, and do not consider the interaction between multiple electrodes in the ferroelectric layer capacitor

Therefore, there is a problem that it cannot accurately reflect the physical essence.

[0010] (3) At present, for the finite element method to solve the problem of ferroelectric multi-field coupling with electrodes, the existing commercial finite element software cannot simulate the evolution of ferroelectric microstructure with spontaneous polarization as the first order parameter, and cannot describe clearly and systematically whole physical image

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