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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2024-3pp.1614-1634

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Subhadip Karmakar and Smita Pal Sarkar, "Instantaneous Heat Source Response in a Rotating Orthotropic Thermoelastic Medium Using Three-Phase-Lag Model," Mech. Solids. 59 (3), 1614-1634 (2024)
Year 2024 Volume 59 Number 3 Pages 1614-1634
DOI 10.1134/S0025654424600090
Title Instantaneous Heat Source Response in a Rotating Orthotropic Thermoelastic Medium Using Three-Phase-Lag Model
Author(s) Subhadip Karmakar (Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, India)
Smita Pal Sarkar (Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, India, smitasarkar.math@faculty.iiests.ac.in)
Abstract This article highlights the study of thermoelastic interaction in a homogeneous, orthotropic, rotating medium due to the influence of an instantaneous heat source. This study employs the three-phase-lag model. A differential equation in vector-matrix form has been formulated with the help of combined Laplace–Fourier transformation and the solution is obtained by using the eigenvalue approach. The Gaussian quadrature formula and the Bellman method are employed to numerically estimate the displacement components, temperature, and thermal stress components. Finally, the numerical outcomes are depicted graphically and compared with those of the Lord–Shulman and Green–Naghdi type III models.
Keywords orthotropic thermoelastic medium, three-phase-lag model, instantaneous heat source, Laplace-Fourier transform
Received 13 January 2024Revised 02 July 2024Accepted 02 July 2024
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