IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i13p2168-d844776.html
   My bibliography  Save this article

Generalized Thermoelastic Interaction in a Half-Space under a Nonlocal Thermoelastic Model

Author

Listed:
  • Ibrahim Abbas

    (Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah 21589, Saudi Arabia
    Mathematics Department, Faculty of Science, Sohag University, Sohag 82524, Egypt)

  • Aatef Hobiny

    (Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

  • Sorin Vlase

    (Department of Mechanical Engineering, Transilvania University of Brasov, 500036 Brasov, Romania)

  • Marin Marin

    (Department of Mathematics and Computer Science, Transilvania University of Brasov, 500036 Brasov, Romania)

Abstract

In the current article, the nonlocal thermoelastic theory is used to discuss the wave propagation in unbounded thermoelastic materials. Due to the inclusion of relaxation time in thermal conduction formulation and the equations of motion, this model was developed using Lord and Shulman’s generalized thermoelastic model. The theory of the nonlocal continuum proposed by Eringen is used to obtain this model. The integral transforms of the Laplace transform methods used to generate an analytical solution for physical variables are utilized to produce the analytical solutions for the thermal stress, displacement, and temperature distribution. The effects of nonlocal parameters and relaxation time on the wave propagation distributions of physical fields for material are visually shown and explored.

Suggested Citation

  • Ibrahim Abbas & Aatef Hobiny & Sorin Vlase & Marin Marin, 2022. "Generalized Thermoelastic Interaction in a Half-Space under a Nonlocal Thermoelastic Model," Mathematics, MDPI, vol. 10(13), pages 1-10, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:13:p:2168-:d:844776
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/13/2168/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/13/2168/
    Download Restriction: no
    ---><---

    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:10:y:2022:i:13:p:2168-:d:844776. 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.