 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| Nidhi Sharma, Rajneesh Kumar, and Ravi, "Phase Lag Response on Photothermolelastic Due to Ramp Type Load," Mech. Solids. 58 (5), 1653-1666 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
5 |
Pages |
1653-1666 |
| DOI |
10.3103/S0025654423600575 |
| Title |
Phase Lag Response on Photothermolelastic Due to Ramp Type Load |
| Author(s) |
Nidhi Sharma (Department of Mathematics and Humanities, MM engineering college, Maharishi Markendenshwar (Deemed to be University), Mullana, Ambala (INDIA))
Rajneesh Kumar (Department of Mathematics, Kurukshetra University, Kurukshetra. (INDIA), rajneesh_kuk@rediffmail.com)
Ravi (Department of Mathematics and Humanities, MM engineering college, Maharishi Markendenshwar (Deemed to be University), Mullana, Ambala (INDIA), nidhi_kuk26@rediffmail.com) |
| Abstract |
The mathematical model has been framed to analyze the 2-dimensional problem in a
homogeneous, isotropic photo thermoelastic half-space with three phase lag model. The governing equations are simplified by decomposing into potential function after making them dimensionless. Integral transform techniques involving Laplace transform w.r.t time variable t and Fourier transform w.r.t space variable x are employed because through this method the system of equations are converted into ordinary differential equations. Also this technique makes the problem to simpler for investigation as it is used to map one domain into another domain. The arbitrary constants in the solution are determined by considering the loading environment on the surface. Two different categories of sources are taken to explore the application of the problem as ramp type normal force and ramp type thermal source. The close form expressions of the physical quantity like displacement, stresses, temperature field and carrier density distribution are obtained in the transformed domain. Numerical results are computed and presented in the form of figures depicting the effects of phase lags, with energy dissipation.(GN-Type III, [10]) and one relaxation time (L-S, [4]) on the resulting quantities. Some unique cases are explored. The results obtained in this paper can be used to design various semiconductor elements during the coupled thermal, plasma and elastic waves in addition to fields of material science and engineering sciences. This study is also helpful for understanding the photothermoelastic interaction due to various sources. |
| Keywords |
photo-thermal, semiconductor, ramp type, Laplace and Fourier transforms |
| Received |
06 April 2023 | Revised |
15 June 2023 | Accepted |
16 July 2023 |
| Link to Fulltext |
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