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Modeling of the piezoelectric effect using the finite-element method (FEM) = Modeliranje piezoelektričnih pojavov z metodo končnih elementov
Avdiaj, Sefer ; Šetina, Janez ; Syla, Naim
Some solid, crystalline materials exhibit the piezoelectric effect, which is very interesting for a variety of technological applications. Piezoelectric materials are widely used in electromechanical ...sensors and actuators, such as robotics' sensors, actuators, ultrasonic transducers for medical imaging and non-destructive testing. The paper presents the modeling of the piezoelectric effect in quartz, which is the most widely used material. The basic ideas of the finite-element method (FEM) for solving the problem of piezoelectric media are presented. All the results are based on linear piezoelectricity, in which the elastic, piezoelectric, and dielectric coefficients are treated as constants, independent of the magnitude and frequency of the applied mechanical stresses and electric fields. Starting with the tri-dimensional finite-element method, we have developed a numerical computational method for a determination of the electrical voltage (the direct piezoelectric effect) and the eigenmodes of vibration (the inverse piezoelectric effect).
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