 | | 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: | | 13427 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
|
| In English (Mech. Solids): | | 5249 |
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| A. Bajpai, "Study of Phase Lags and Memory Effect in Hyperbolic Two Temperature Thermoelastic Circular Plate with Temperature-Dependent Material Properties Using Eigenvalue Approach," Mech. Solids. 60 (6), 4937-4957 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
6 |
Pages |
4937-4957 |
| DOI |
10.1134/S0025654425600849 |
| Title |
Study of Phase Lags and Memory Effect in Hyperbolic Two Temperature Thermoelastic Circular Plate with Temperature-Dependent Material Properties Using Eigenvalue Approach |
| Author(s) |
A. Bajpai (Department of Mathematics and Astronomy, University of Lucknow, Lucknow-226007, Uttar Pradesh, India, bajpai_ankit@lkouniv.ac.in) |
| Abstract |
This work examines the effects of memory and phase lags on an infinite elastic circular plate
with finite width subjected to axisymmetric thermal and mechanical loadings, utilizing the hyperbolic
two-temperature three-phase lag model of generalized thermoelasticity with temperature-dependent
material properties. For the two-dimensional problem under consideration, governing equations are
determined. At uniform temperature, the plate is first thought to be unstressed and unstrained. The
governing equations are reduced to a non-dimensional form and simplified using potential functions.
The combined Laplace and Hankel transforms are employed to simplify the problem into ordinary differential equations. The eigenvalue approach is utilized to address the problem, and the arbitrary constants in the solution are determined by applying the loading conditions on the boundary surfaces.
In the Laplace and Hankel transform domain, the temperature fields and normal stress are calculated
analytically in compact form. To obtain the field quantities in the original region, a numerical inversion technique is employed. |
| Keywords |
Three-phase lag model, Memory-dependent derivatives, Laplace-Hankel transform, Hyperbolic two temperature, Temperature-dependent material properties |
| Received |
22 February 2025 | Revised |
20 July 2025 | Accepted |
11 August 2025 |
| Link to Fulltext |
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