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Advances in Materials Research
  Volume 8, Number 4, December 2019 , pages 259-274

Flexoelectric effects on dynamic response characteristics of nonlocal piezoelectric material beam
Laith A. Hassan Kunbar, Basim Mohamed Alkadhimi, Hussein Sultan Radhi and Nadhim M. Faleh

    Flexoelectric effect has a major role on mechanical responses of piezoelectric materials when their dimensions become submicron. Applying differential quadrature (DQ) method, the present article studies dynamic characteristics of a small scale beam made of piezoelectric material considering flexoelectric effect. In order to capture scale-dependency of such piezoelectric beams, nonlocal elasticity theory is utilized and also surface effects are included for better structural modeling. Governing equations have been derived by utilizing Hamilton's rule with the assumption that the scale-dependent beam is subjected to thermal environment leading to uniform temperature variation across the thickness. Obtained results based on DQ method are in good agreement with previous data on pizo-flexoelectric beams. Finally, it would be indicated that dynamic response characteristics and vibration frequencies of the nano-size beam depends on the existence of flexoelectric influence and the magnitude of scale factors.
Key Words
    flexoelectricity; flexoelectric effect; response; piezoelectric; wave; beam
(1) Laith A. Hassan Kunbar, Nadhim M. Faleh:
Al-Mustansiriah University, Engineering Collage P.O. Box 46049, Bab-Muadum, Baghdad 10001, Iraq;
(2) Basim Mohamed Alkadhimi:
Wasit University, College of Engineering, Electrical Engineering Department, Iraq;
(3) Hussein Sultan Radhi:
University of Diyala, College of Engineering, Computer Engineering Department, Iraq.

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