IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v439y2023ics0096300322006968.html
   My bibliography  Save this article

Three-dimensional nonlinear stability analysis of axial-thermal-electrical loaded FG piezoelectric microshells via MKM strain gradient formulations

Author

Listed:
  • Alshenawy, Reda
  • Sahmani, Saeid
  • Safaei, Babak
  • Elmoghazy, Yasser
  • Al-Alwan, Ali
  • Nuwairan, Muneerah Al

Abstract

The present study focuses on the moving Kriging meshfree (MKM) technique combined with the three-dimensional strain gradient continuum mechanics to analyze three-dimensional nonlinear stability response of thermo-electro-mechanical loaded functionally graded (FG) piezoelectric cylindrical microshells. The derived three-dimensional MKM model has the capability to present the transition of buckling mode containing different microsize-dependent gradient tensors. The microshells are made of a mixture containing PZT-4 and PZT-5H piezoelectric phases, the material properties of which vary continuously along the shell thickness and captured based on the power law composition scheme. With the aid of MKM strain gradient-based shell model, it is possible to satisfy the function property associated with Kronecker delta by putting the required boundary conditions directly at the associated nodes without any predefined mesh. The microsize-dependent nonlinear stability plots are obtained in the presence of modal transition relevant to various environment temperatures, external electric voltages, microstructural size dependency tensors, and power-law indexes. It is found that the stiffening character related to all three microstructural strain gradient tensors is more significant for the second nonlinear stability mechanical/electrical load in comparison with the first one. However, for the three-dimensional mechanical/electrical bifurcation load, the stiffening character of these gradient tensors becomes even lower than the first postbuckling load. Moreover, by applying an actuation via a positive voltage, the first three-dimensional critical buckling load and the associated end shortening reduce, while an actuation via a negative voltage results in to increase them. It is observed that by shifting to the postbuckling territory, the role of the electric actuation gets negligible.

Suggested Citation

  • Alshenawy, Reda & Sahmani, Saeid & Safaei, Babak & Elmoghazy, Yasser & Al-Alwan, Ali & Nuwairan, Muneerah Al, 2023. "Three-dimensional nonlinear stability analysis of axial-thermal-electrical loaded FG piezoelectric microshells via MKM strain gradient formulations," Applied Mathematics and Computation, Elsevier, vol. 439(C).
    • Handle: RePEc:eee:apmaco:v:439:y:2023:i:c:s0096300322006968
    DOI: 10.1016/j.amc.2022.127623
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300322006968
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2022.127623?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Ruocco, Eugenio & Mallardo, Vincenzo, 2019. "Buckling and vibration analysis nanoplates with imperfections," Applied Mathematics and Computation, Elsevier, vol. 357(C), pages 282-296.
    2. Thang, Pham Toan & Nguyen-Thoi, T. & Lee, Jaehong, 2021. "Modeling and analysis of bi-directional functionally graded nanobeams based on nonlocal strain gradient theory," Applied Mathematics and Computation, Elsevier, vol. 407(C).
    3. Rojas, E.F. & Faroughi, S. & Abdelkefi, A. & Park, Y.H., 2021. "Investigations on the performance of piezoelectric-flexoelectric energy harvesters," Applied Energy, Elsevier, vol. 288(C).
    4. khabaz, Mohamad Khaje & Eftekhari, S. Ali & Toghraie, Davood, 2022. "Vibration and dynamic analysis of a cantilever sandwich microbeam integrated with piezoelectric layers based on strain gradient theory and surface effects," Applied Mathematics and Computation, Elsevier, vol. 419(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jahangiri, M. & Asghari, M., 2023. "The strain gradient-based torsional vibration analysis of micro-rotors with nonlinear flexural-torsional coupling," Applied Mathematics and Computation, Elsevier, vol. 440(C).
    2. Ammar Melaibari & Alaa A. Abdelrahman & Mostafa A. Hamed & Ahmed W. Abdalla & Mohamed A. Eltaher, 2022. "Dynamic Analysis of a Piezoelectrically Layered Perforated Nonlocal Strain Gradient Nanobeam with Flexoelectricity," Mathematics, MDPI, vol. 10(15), pages 1-22, July.
    3. Yu, Gang & He, Lipeng & Wang, Hongxin & Sun, Lei & Zhang, Zhonghua & Cheng, Guangming, 2023. "Research of rotating piezoelectric energy harvester for automotive motion," Renewable Energy, Elsevier, vol. 211(C), pages 484-493.
    4. 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.
    5. Boyina, Kalyan & Piska, Raghu, 2023. "Wave propagation analysis in viscoelastic Timoshenko nanobeams under surface and magnetic field effects based on nonlocal strain gradient theory," Applied Mathematics and Computation, Elsevier, vol. 439(C).
    6. 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:eee:apmaco:v:439:y:2023:i:c:s0096300322006968. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.