IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i24p4676-d999047.html
   My bibliography  Save this article

Finite Element Analysis of Generalized Thermoelastic Interaction for Semiconductor Materials under Varying Thermal Conductivity

Author

Listed:
  • Aatef Hobiny

    (Mathematics Department, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

  • Ibrahim Abbas

    (Mathematics Department, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
    Mathematics Department, Faculty of Science, Sohag University, Sohag 82524, Egypt)

Abstract

In this work, we consider the problem of a semiconductor half-space formed of varying thermal conductivity materials with and without Kirchhoff’s transforms. Specifically, we deal with one thermal relaxation time within the context of generalized photothermoelastic theory. It is expected that the thermal conductivity of the material will vary with temperature. The finite element method is used to numerically solve this problem. The Laplace transform and the eigenvalues method are used to determine analytical solutions to the linear problem. Various hypotheses are investigated, both with and without the use of Kirchhoff’s transformations, to consider the influence of thermal conductivity change. To verify the accuracy of the proposed approach, we provide a comparison of numerical and analytical results by ignoring the new parameters and investigating the behaviors of physical quantities for numerical outcomes.

Suggested Citation

  • Aatef Hobiny & Ibrahim Abbas, 2022. "Finite Element Analysis of Generalized Thermoelastic Interaction for Semiconductor Materials under Varying Thermal Conductivity," Mathematics, MDPI, vol. 10(24), pages 1-17, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:24:p:4676-:d:999047
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/24/4676/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/24/4676/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Ahmed E. Abouelregal & Marin Marin, 2020. "The Size-Dependent Thermoelastic Vibrations of Nanobeams Subjected to Harmonic Excitation and Rectified Sine Wave Heating," Mathematics, MDPI, vol. 8(7), pages 1-13, July.
    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. Abdulkafi M. Saeed & Kh. Lotfy & Alaa A. El-Bary, 2022. "Effect of Variable Thermal Conductivity and Magnetic Field for the Generated Photo-Thermal Waves on Microelongated Semiconductor," Mathematics, MDPI, vol. 10(22), pages 1-18, November.
    2. Ahmed E. Abouelregal & Marin Marin & Fahad Alsharari, 2022. "Thermoelastic Plane Waves in Materials with a Microstructure Based on Micropolar Thermoelasticity with Two Temperature and Higher Order Time Derivatives," Mathematics, MDPI, vol. 10(9), pages 1-21, May.
    3. Xiao-Ting He & Meng-Qiao Zhang & Bo Pang & Jun-Yi Sun, 2022. "Solution of the Thermoelastic Problem for a Two-Dimensional Curved Beam with Bimodular Effects," Mathematics, MDPI, vol. 10(16), pages 1-22, August.
    4. Ammar Melaibari & Ahmed Amine Daikh & Muhammad Basha & Ahmed W. Abdalla & Ramzi Othman & Khalid H. Almitani & Mostafa A. Hamed & Alaa Abdelrahman & Mohamed A. Eltaher, 2022. "Free Vibration of FG-CNTRCs Nano-Plates/Shells with Temperature-Dependent Properties," Mathematics, MDPI, vol. 10(4), pages 1-24, February.
    5. Maged Faihan Alotaibi & Eied Mahmoud Khalil & Mahmoud Youssef Abd-Rabbou & Marin Marin, 2022. "The Classicality and Quantumness of the Driven Qubit–Photon–Magnon System," Mathematics, MDPI, vol. 10(23), pages 1-11, November.
    6. Abouelregal, Ahmed E. & Mohammed, Fawzy A. & Benhamed, Moez & Zakria, Adam & Ahmed, Ibrahim-Elkhalil, 2022. "Vibrations of axially excited rotating micro-beams heated by a high-intensity laser in light of a thermo-elastic model including the memory-dependent derivative," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 199(C), pages 81-99.

    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:24:p:4676-:d:999047. 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: 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.