IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i5p567-d512141.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/5/567/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/5/567/
    Download Restriction: no
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.
    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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:9:y:2021:i:5:p:567-:d:512141. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.