Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 7, Page 1192
DOI: https://doi.org/10.31857/S0044466923070153
(Mi zvmmf11589)
 

Mathematical physics

Laser-induced thermoelastic response in an isotropic medium having variable material moduli

Aktar Seikha, Soumen Shawb, Smita Pal (Sarkar)a

a Department of Mathematics, Indian Institute of Engineering Science and Technology, 711103 Howrah, Shibpur
b Department of Mathematics, Dinabandhu Andrews College, 700084 Kolkata, Shibpur
Abstract: Thermal displacement and stress distribution are analysed in the domain of plane-strain geometry of an isotropic thermoelastic medium having variable material moduli. In this context of the analysis, laser induced heat sources are planted on the reference plane. To analyse the thermal responses due to the injected heat sources into the medium, hyperbolic type heat conduction model with three phase-lags incorporated. Analytical solutions are expressed in-terms of Laplace–Fourier integral transform domain and the physical behaviour of displacement and stresses are depicted through a discretised form of inverse-integral transformation technique. Finally, parameterized characteristic analysis are presented graphically and the salient features of thermal displacements are highlighted.
Key words: medium with variable material moduli, hyperbolic type heat conduction, Laplace–Fourier integral transform.
Received: 19.02.2023
Revised: 19.02.2023
Accepted: 30.03.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 7, Pages 1300–1318
DOI: https://doi.org/10.1134/S096554252307014X
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: English
Citation: Aktar Seikh, Soumen Shaw, Smita Pal (Sarkar), “Laser-induced thermoelastic response in an isotropic medium having variable material moduli”, Zh. Vychisl. Mat. Mat. Fiz., 63:7 (2023), 1192; Comput. Math. Math. Phys., 63:7 (2023), 1300–1318
Citation in format AMSBIB
\Bibitem{SeiShaPal23}
\by Aktar~Seikh, Soumen~Shaw, Smita~Pal (Sarkar)
\paper Laser-induced thermoelastic response in an isotropic medium having variable material moduli
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 7
\pages 1192
\mathnet{http://mi.mathnet.ru/zvmmf11589}
\crossref{https://doi.org/10.31857/S0044466923070153}
\elib{https://elibrary.ru/item.asp?id=54238539}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 7
\pages 1300--1318
\crossref{https://doi.org/10.1134/S096554252307014X}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf11589
  • https://www.mathnet.ru/eng/zvmmf/v63/i7/p1192
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025