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 2, Page 327
DOI: https://doi.org/10.31857/S0044466923020035
(Mi zvmmf11517)
 

Mathematical physics

Memory response on thermoelastic behavior with temperature dependent material moduli under mechanical strip load

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

a Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah-711103
b Department of Mathematics Dinabandhu Andrews College, Kolkata, Kolkata-700084
Abstract: Temperature of the medium has a significant impact on the deformation and stress distribution into the medium. Material moduli is another key component that determines the deformation of the structural element. The present paper deals with the thermal memory response on stress and temperature fields in an isotropic medium. The material moduli of the medium are considered to be varying with temperature. Consequently, the classical heat conduction law is replaced by the memory dependent generalized theory of heat conduction. Analytical solutions of the field functions are obtained in the integral transform domain. The variations of the field functions in the space-time coordinate system are displayed graphically for different empirical constants and kernel functions.
Key words: variable material moduli, memory dependent derivative, hyperbolic thermoelasticity, Laplace–Fourier transformation.
Funding agency Grant number
Department of Science and Technology, India DST/INSPIRE Fellowship/2017/IF170307
The author Aktar Seikh thankfully acknowledges Department of Science and Technology-INSPIRE, Government of India (no. DST/INSPIRE Fellowship/2017/IF170307) for the financial support to carry out this research work.
Received: 15.04.2020
Revised: 15.04.2020
Accepted: 10.08.2022
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 2, Pages 295–310
DOI: https://doi.org/10.1134/S0965542523020033
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: English
Citation: Aktar Seikh, Soumen Shaw, Smita Pal (Sarkar), “Memory response on thermoelastic behavior with temperature dependent material moduli under mechanical strip load”, Zh. Vychisl. Mat. Mat. Fiz., 63:2 (2023), 327; Comput. Math. Math. Phys., 63:2 (2023), 295–310
Citation in format AMSBIB
\Bibitem{SeiShaPal23}
\by Aktar~Seikh, Soumen~Shaw, Smita~Pal~(Sarkar)
\paper Memory response on thermoelastic behavior with temperature dependent material moduli under mechanical strip load
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 2
\pages 327
\mathnet{http://mi.mathnet.ru/zvmmf11517}
\crossref{https://doi.org/10.31857/S0044466923020035}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4573236}
\elib{https://elibrary.ru/item.asp?id=50435457}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 2
\pages 295--310
\crossref{https://doi.org/10.1134/S0965542523020033}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf11517
  • https://www.mathnet.ru/eng/zvmmf/v63/i2/p327
  • 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
    Statistics & downloads:
    Abstract page:41
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024