Nonlocal nonlinear analysis of functionally graded piezoelectric porous nanoplates

This study presents a novel and efficient approach for analyzing the nonlinear behavior of nanoscale plates composed of functionally graded (FG) piezoelectric porous materials. Our approach, which focuses on small-scale structures, demonstrates remarkable efficiency and represents the first of its k...

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Bibliographic Details
Published in:International journal of mechanics and materials in design 2024, Vol.20 (4), p.743-753
Main Authors: Phung-Van, P., Nguyen, Lieu B., Hung, P. T., Nguyen-Xuan, H., Thai, Chien H.
Format: Article
Language:English
Subjects:
Characterization and Evaluation of Materials
Classical Mechanics
Electric fields
Engineering
Engineering Design
Functionally gradient materials
Linear functions
Maxwell's equations
Nonlinear analysis
Parameters
Piezoelectricity
Porosity
Porous materials
Solid Mechanics
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Summary:This study presents a novel and efficient approach for analyzing the nonlinear behavior of nanoscale plates composed of functionally graded (FG) piezoelectric porous materials. Our approach, which focuses on small-scale structures, demonstrates remarkable efficiency and represents the first of its kind. A generalized model for FG piezoelectric nanoplates with porosities satisfies assumptions of the nonlocal Eringen’s theory based on von Kármán strains. The porous distributions are modeled with even and uneven functions. According to Maxwell’s equations, an electric field is approximated by trigonometric and linear functions. A weak form of the piezoelectric nanoplate with porosity is derived via the principle of extended virtual displacement. Isogeometric approach, which provides accurate results, is easy to implement. The influence of porosity coefficient, small-scale parameter, power law exponent, external electrical voltage and geometric parameter on the nonlinear displacement of the piezoelectric porous nanoplate are examined. These results can provide benchmark solutions for the future numerical investigations of electroelastic nanoplates.
ISSN:1569-1713
1573-8841
DOI:10.1007/s10999-023-09701-5