International Journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN: 2313-626X

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 Volume 7, Issue 7 (July 2020), Pages: 102-108

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 Original Research Paper

 Title: Generalized thermoelasticity with fractional order strain of infinite medium with a cylindrical cavity

 Author(s): A. K. Khamis 1, A. A. El-Bary 2, *, Hamdy M. Youssef 3, Allal Bakali 1

 Affiliation(s):

 1Departement of Mathematics, Faculty of Science, Northern Border University, Arar, Saudi Arabia
 2Basic and Applied Science Institute, Arab Academy for Science and Technology, Alexandria, Egypt
 3Departement of Mechanics, Faculty of Engineering and Islamic Architecture, Umm Al Qura University, Makkah, Saudi Arabia

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 * Corresponding Author. 

  Corresponding author's ORCID profile: https://orcid.org/0000-0002-8846-0487

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2020.07.013

 Abstract:

In this paper, a problem of thermoelastic interactions in a homogenous isotropic thermoelastic infinite medium with a cylindrical cavity. The bounding surface of the cavity is thermally shocked and connected to a rigid body to prevent any deformation. The governing equations are taken in the context of generalized thermoelasticity with fractional order strain theory. The analytical solutions with the direct approach in the Laplace transform domain have been obtained. The numerical results for the temperatures increment, the strain, the displacement, and the stress are represented graphically with the various value of the fractional-order parameter to stand on its effect on all the studied state functions. The fractional-order parameter has significant effects on the strain, the displacement, and the stress distribution, while its effect on the temperature distribution is minimal. 

 © 2020 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: Two-temperature, Generalized thermoelasticity, Cylindrical cavity, Heat source

 Article History: Received 21 September 2019, Received in revised form 15 April 2020, Accepted 25 April 2020

 Acknowledgment:

The authors wish to acknowledge the approval and the support of this research study by the grant from the deanship of scientific research in Northern Border University, Arar, Saudi Arabia by the grant number (7338–SCI–2017–1–8–F7).

 Compliance with ethical standards

 Conflict of interest: The authors declare that they have no conflict of interest.

 Citation:

 Khamis AK, El-Bary AA, and Youssef HM et al. (2020). Generalized thermoelasticity with fractional order strain of infinite medium with a cylindrical cavity. International Journal of Advanced and Applied Sciences, 7(7): 102-108

 Permanent Link to this page

 Figures

 Fig. 1 Fig. 2 Fig. 3 Fig. 4

 Tables

 No Table

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