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Article

Trigonometric Solution for the Bending Analysis of Magneto-Electro-Elastic Strain Gradient Nonlocal Nanoplates in Hygro-Thermal Environment

1
DICAM Department, University of Bologna, 40136 Bologna, Italy
2
Engineering Department, Parthenope University, 80133 Naples, Italy
3
Department of Engineering, Telematic University Pegaso, 80133 Naples, Italy
*
Author to whom correspondence should be addressed.
Academic Editor: Krzysztof Kamil Żur
Mathematics 2021, 9(5), 567; https://doi.org/10.3390/math9050567
Received: 18 January 2021 / Revised: 1 March 2021 / Accepted: 3 March 2021 / Published: 7 March 2021
Nanoplates have been extensively utilized in the recent years for applications in nanoengineering as sensors and actuators. Due to their operative nanoscale, the mechanical behavior of such structures might also be influenced by inter-atomic material interactions. For these reasons, nonlocal models are usually introduced for studying their mechanical behavior. Sensor technology of plate structures should be formulated with coupled mechanics where elastic, magnetic and electric fields interact among themselves. In addition, the effect of hygro-thermal environments are also considered since their presence might effect the nanoplate behavior. In this work a trigonometric approach is developed for investigating smart composite nanoplates using a strain gradient nonlocal procedure. Convergence of the present method is also reported in terms of displacements and electro-magnetic potentials. Results agree well with the literature and open novel applications in this field for further developments. View Full-Text
Keywords: smart nanoplates; sensing plates; actuating plates; strain gradient theory; hygro-thermal environment; magneto-electro-elastic plates; functionally graded material smart nanoplates; sensing plates; actuating plates; strain gradient theory; hygro-thermal environment; magneto-electro-elastic plates; functionally graded material
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MDPI and ACS Style

Tocci Monaco, G.; Fantuzzi, N.; Fabbrocino, F.; Luciano, R. Trigonometric Solution for the Bending Analysis of Magneto-Electro-Elastic Strain Gradient Nonlocal Nanoplates in Hygro-Thermal Environment. Mathematics 2021, 9, 567. https://doi.org/10.3390/math9050567

AMA Style

Tocci Monaco G, Fantuzzi N, Fabbrocino F, Luciano R. Trigonometric Solution for the Bending Analysis of Magneto-Electro-Elastic Strain Gradient Nonlocal Nanoplates in Hygro-Thermal Environment. Mathematics. 2021; 9(5):567. https://doi.org/10.3390/math9050567

Chicago/Turabian Style

Tocci Monaco, Giovanni, Nicholas Fantuzzi, Francesco Fabbrocino, and Raimondo Luciano. 2021. "Trigonometric Solution for the Bending Analysis of Magneto-Electro-Elastic Strain Gradient Nonlocal Nanoplates in Hygro-Thermal Environment" Mathematics 9, no. 5: 567. https://doi.org/10.3390/math9050567

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