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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2019, Volume 60, Issue 1, Pages 142–151
DOI: https://doi.org/10.15372/PMTF20190115 (Mi pmtf489) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Plane harmonic waves in thermoelastic materials with a memory-dependent derivative

M. Bachher

Media Girls’ High School, Gobardanga, North 24 Parganas, West Bengal, India
Full-text PDF (538 kB) Citations (8)
DOI: https://doi.org/10.15372/PMTF20190115
Abstract: The Lord–Shulman theory of generalized thermoelasticity based on a memory-dependent derivative is employed to study the propagation of plane harmonic waves in a two-dimensional semi-infinite thermoelastic medium. The numerical solution is analyzed for various values of the time delay parameter.
Keywords: Lord–Shulman model, memory-dependent derivative, time delay, kernel function, displacement potential.
Received: 06.03.2018
Revised: 23.06.2018
Accepted: 30.07.2018
English version:
Journal of Applied Mechanics and Technical Physics, 2019, Volume 60, Issue 1, Pages 123–131
DOI: https://doi.org/10.1134/S0021894419010152
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: M. Bachher, “Plane harmonic waves in thermoelastic materials with a memory-dependent derivative”, Prikl. Mekh. Tekh. Fiz., 60:1 (2019), 142–151; J. Appl. Mech. Tech. Phys., 60:1 (2019), 123–131
Citation in format AMSBIB
\Bibitem{Bac19}
\by M.~Bachher
\paper Plane harmonic waves in thermoelastic materials with a memory-dependent derivative
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2019
\vol 60
\issue 1
\pages 142--151
\mathnet{http://mi.mathnet.ru/pmtf489}
\crossref{https://doi.org/10.15372/PMTF20190115}
\elib{https://elibrary.ru/item.asp?id=36976018}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2019
\vol 60
\issue 1
\pages 123--131
\crossref{https://doi.org/10.1134/S0021894419010152}
Linking options:
  • https://www.mathnet.ru/eng/pmtf489
  • https://www.mathnet.ru/eng/pmtf/v60/i1/p142
    • This publication is cited in the following 8 articles:
    1. Iqbal Kaur, Kulvinder Singh, “Forced Flexural Vibrations due to Time-Harmonic Source in a Thin Nonlocal Rectangular Plate with Memory-Dependent Derivative”, Mech. Solids, 58:4 (2023), 1257  crossref
    2. Iqbal Kaur, Kulvinder Singh, “Stoneley wave propagation in transversely isotropic thermoelastic rotating medium with memory-dependent derivative and two temperature”, Arch Appl Mech, 93:9 (2023), 3313  crossref
    3. Iqbal Kaur, Kulvinder Singh, “Study of a time-harmonic load on a Kirchhoff–Love plate with modified thermoelasticity theory using higher-order memory-dependent derivatives”, Mech Time-Depend Mater, 2023  crossref
    4. M.S. Barak, Rajesh Kumar, Rajneesh Kumar, Vipin Gupta, “The effect of memory and stiffness on energy ratios at the interface of distinct media”, MMMS, 19:3 (2023), 464  crossref
    5. Iqbal Kaur, Kulvinder Singh, “An investigation on responses of thermoelastic interactions of transversely isotropic thick circular plate due to ring load with memory-dependent derivatives”, SN Appl. Sci., 5:4 (2023)  crossref
    6. Indranil Sarkar, “Temperature-Rate Dependence Thermoelasticity Theory with Memory-Dependent Derivative: Stability and Uniqueness”, J. Eng. Mech., 147:3 (2021)  crossref
    7. Iqbal Kaur, Parveen Lata, Kulvinder Singh, “Effect of memory dependent derivative on forced transverse vibrations in transversely isotropic thermoelastic cantilever nano-Beam with two temperature”, Applied Mathematical Modelling, 88 (2020), 83  crossref
    8. Iqbal Kaur, Parveen Lata, Kulvinder Singh, “Memory-dependent derivative approach on magneto-thermoelastic transversely isotropic medium with two temperatures”, Int J Mech Mater Eng, 15:1 (2020)  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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