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

Author

Listed:
  • Giovanni Tocci Monaco

    (DICAM Department, University of Bologna, 40136 Bologna, Italy
    Engineering Department, Parthenope University, 80133 Naples, Italy)

  • Nicholas Fantuzzi

    (DICAM Department, University of Bologna, 40136 Bologna, Italy)

  • Francesco Fabbrocino

    (Department of Engineering, Telematic University Pegaso, 80133 Naples, Italy)

  • Raimondo Luciano

    (Engineering Department, Parthenope University, 80133 Naples, Italy)

Abstract

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.

Suggested Citation

  • Giovanni Tocci Monaco & Nicholas Fantuzzi & Francesco Fabbrocino & Raimondo Luciano, 2021. "Trigonometric Solution for the Bending Analysis of Magneto-Electro-Elastic Strain Gradient Nonlocal Nanoplates in Hygro-Thermal Environment," Mathematics, MDPI, vol. 9(5), pages 1-22, March.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:5:p:567-:d:512141
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    Citations

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    Cited by:

    1. Alaa A. Abdelrahman & Mohamed S. Abdelwahed & Hani M. Ahmed & Amin Hamdi & Mohamed A. Eltaher, 2023. "Investigation of Size-Dependent Vibration Behavior of Piezoelectric Composite Nanobeams Embedded in an Elastic Foundation Considering Flexoelectricity Effects," Mathematics, MDPI, vol. 11(5), pages 1-31, February.
    2. Mahmure Avey & Nicholas Fantuzzi & Abdullah H. Sofiyev, 2023. "Analytical Solution of Stability Problem of Nanocomposite Cylindrical Shells under Combined Loadings in Thermal Environments," Mathematics, MDPI, vol. 11(17), pages 1-21, September.
    3. Krzysztof Kamil Żur & Jinseok Kim & Junuthula N. Reddy, 2022. "Special Issue of Mathematics : Analytical and Numerical Methods for Linear and Nonlinear Analysis of Structures at Macro, Micro and Nano Scale," Mathematics, MDPI, vol. 10(13), pages 1-2, June.
    4. Mahmure Avey & Nicholas Fantuzzi & Abdullah Sofiyev, 2022. "Mathematical Modeling and Analytical Solution of Thermoelastic Stability Problem of Functionally Graded Nanocomposite Cylinders within Different Theories," Mathematics, MDPI, vol. 10(7), pages 1-11, March.
    5. Alaa A. Abdelrahman & Hussein A. Saleem & Gamal S. Abdelhaffez & Mohamed A. Eltaher, 2023. "On Bending of Piezoelectrically Layered Perforated Nanobeams Embedded in an Elastic Foundation with Flexoelectricity," Mathematics, MDPI, vol. 11(5), pages 1-24, February.

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