 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 57, Issue 1 / 2022 | Next article >> |
| Bassiouny E., "Heating of Thermoelastic Half-Space with Fractional Order Strain and Variable Thermal Conductivity," Mech. Solids. 57 (1), 163-177 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
1 |
Pages |
163-177 |
| DOI |
10.3103/S0025654422010101 |
| Title |
Heating of Thermoelastic Half-Space with Fractional Order Strain and Variable Thermal Conductivity |
| Author(s) |
Bassiouny E. (Mathematics Department, College of Science and Humanities, Prince Sattam Bin Abdulaziz University, Al Kharj 11942, Saudi Arabia; Department of Mathematics, Faculty of Sciences, Fayoum University, Fayoum, Egypt, esambassiouny@yahoo.com) |
| Abstract |
In this work, we present a new thermoelasticity model in the context of the new theory of fractional order strain thermoelasticity with variable thermal conductivity. The thermoelastic properties of a semi-infinite homogeneous isotropic medium with variable thermal conductivity were investigated. The governing equations have been derived and we use the direct method to obtain the solutions of the field functions in the Laplace domain. The medium is subjected to ramp type thermal loading. To obtain the different inverse field functions numerically we used a complex inversion formula of Laplace transform based on a Fourier expansion. The effects of different parameters on the conductive temperature, the thermodynamical temperature, the displacement the stress and on the strain distribution are presented graphically. Comparison between each field function with constant and variable thermal conductivity are also presented graphically and discussed. |
| Keywords |
fractional order strain, variable thermal conductivity, generalized thermoelasticity, numerical inversion of laplace transform, fractional thermoelastic properties, ramp thermal loading |
| Received |
22 September 2015 | Revised |
18 February 2021 | Accepted |
15 March 2021 |
| Link to Fulltext |
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