Transient Thermoelastic Response of a Thick Circular Plate Under Internal Heat Generation

  • Unique Paper ID: 183225
  • Volume: 11
  • Issue: 9
  • PageNo: 3059-3066
  • Abstract:
  • This study investigates the transient thermoelastic behavior of a thick, isotropic circular plate subject to internal heat generation. The plate is modeled as a homogeneous medium with temperature-dependent heat sources and radiation-type boundary conditions on the cylindrical edge and flat surfaces. A coupled system of unsteady heat conduction and thermoelastic deformation is analyzed using finite Hankel and Marchi–Fasulo integral transforms. Closed-form solutions for temperature distribution, displacement, and stress components are derived. The results are applied to a copper plate model, and parametric analysis is conducted to understand the influence of heat source intensity and boundary heat transfer coefficients on stress evolution.

Copyright & License

Copyright © 2025 Authors retain the copyright of this article. This article is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

BibTeX

@article{183225,
        author = {Anant P. Bawne and Anant A. Navlekar},
        title = {Transient Thermoelastic Response of a Thick Circular Plate Under Internal Heat Generation},
        journal = {International Journal of Innovative Research in Technology},
        year = {2025},
        volume = {11},
        number = {9},
        pages = {3059-3066},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=183225},
        abstract = {This study investigates the transient thermoelastic behavior of a thick, isotropic circular plate subject to internal heat generation. The plate is modeled as a homogeneous medium with temperature-dependent heat sources and radiation-type boundary conditions on the cylindrical edge and flat surfaces. A coupled system of unsteady heat conduction and thermoelastic deformation is analyzed using finite Hankel and Marchi–Fasulo integral transforms. Closed-form solutions for temperature distribution, displacement, and stress components are derived. The results are applied to a copper plate model, and parametric analysis is conducted to understand the influence of heat source intensity and boundary heat transfer coefficients on stress evolution.},
        keywords = {Transient thermoelasticity, Thick circular plate, Internal heat generation, Hankel trans-form, Marchi–Fasulo transform, Radiation boundary conditions},
        month = {July},
        }

Cite This Article

  • ISSN: 2349-6002
  • Volume: 11
  • Issue: 9
  • PageNo: 3059-3066

Transient Thermoelastic Response of a Thick Circular Plate Under Internal Heat Generation

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