Finite element modeling of mechanical behaviors of piezoelectric nanoplates with flexoelectric effects

This paper uses the finite element method to simulate the mechanical, electric, and polarization behaviors of piezoelectric nanoplates resting on elastic foundations subjected to static loads, in which the flexoelectric effect is taken into consideration. The finite element formulations are establis...

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Bibliographic Details
Published inArchive of applied mechanics (1991) Vol. 92; no. 1; pp. 163 - 182
Main Authors Thai, Le Minh, Luat, Doan Trac, Phung, Van Binh, Minh, Phung Van, Thom, Do Van
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 2022
Springer Nature B.V
Subjects
Boundary conditions
Classical Mechanics
Electric fields
Engineering
Finite element method
Mathematical analysis
Original
Piezoelectricity
Polarization
Shear deformation
Static loads
Stress distribution
Theoretical and Applied Mechanics
Flexoelectric
Finite element method
Bending
Elastic foundation
Nanoplates
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Summary:This paper uses the finite element method to simulate the mechanical, electric, and polarization behaviors of piezoelectric nanoplates resting on elastic foundations subjected to static loads, in which the flexoelectric effect is taken into consideration. The finite element formulations are established by employing a new type of shear deformation theory, which does not need any shear correction factors, but still accurately describes the stress field of the plate. The numerical results show clearly that the flexoelectric effect has a strong influence on the mechanical responses of the nanoplates. In particular, the normal stress distribution in the thickness direction is no longer linear when the flexoelectric coefficient is large enough, and this phenomenon differs completely from that of conventional plates. In addition, the distribution of the electric field and the polarization also depend on boundary conditions, which were not investigated in the published works.
ISSN:0939-1533
1432-0681
DOI:10.1007/s00419-021-02048-3