MATEC Web Conf.
Volume 310, 20204th International Scientific Conference Structural and Physical Aspects of Construction Engineering (SPACE 2019)
|Number of page(s)||10|
|Published online||05 March 2020|
Unified theory of beam bending within flexoelectricity with including piezoelectricity
Institute of Construction and Architecture, Slovak Academy of Sciences, 84503 Bratislava, Slovakia
* Corresponding author: firstname.lastname@example.org
The behaviour of small size dielectric elastic beams is described within higher-grade theory with including electric polarization. The coupling between strain gradients and polarization is incorporated into the constitutive laws in the form of flexoelectricity, while piezoelectricity is involve in the classical form. Both the governing equations and boundary conditions are derived using variational formulation for electro-elastic continuous media and deformation assumptions employed in three various beam bending theories such as the classical theory (Euler-Bernoulli theory), the 1st order shear deformation theory (Timoshenko theory) and 3rd order shear deformation theory. The unified formulation allows switching between theories with various bending assumptions by a proper selection of two key factors.
© The Authors, published by EDP Sciences, 2020
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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