On a two-dimensional model of generalized thermoelasticity with application [PDF]
Scientific Reports, 2022 A 2D first order linear system of partial differential equations of plane strain thermoelasticity within the frame of extended thermodynamics is presented and analyzed.
Ethar A. A. Ahmed +3 more
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Thermal-stress analysis of a damaged solid sphere using hyperbolic two-temperature generalized thermoelasticity theory [PDF]
Scientific Reports, 2021 This work aims to study the influence of the rotation on a thermoelastic solid sphere in the context of the hyperbolic two-temperature generalized thermoelasticity theory based on the mechanical damage consideration.
Hamdy M. Youssef +2 more
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Thermoelastic wave propagation in fibre-reinforced plates with exponential temperature-dependent conductivity under fluid–structure interaction [PDF]
Scientific ReportsThis work investigates thermoelastic wave propagation in a fibre-reinforced plate interacting with non-viscous fluid layers while incorporating exponential temperature-dependent thermal conductivity within generalized thermoelasticity.
Areej Almoneef +4 more
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On the Propagation of Generalized Thermoelastic Vibrations in Plates
Engineering Transactions, 2015 The heat conduction equation in the context of generalized theories of thermoelasticity is used to study the propagation of plane harmonic waves in a thin, flat, infinite, homogeneous, thermoelastic isotropic plate of finite width.
K.L. Verma, N. Hasebe
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Mathematical modeling of heat transfer in tissues with skin tumor during thermotherapy. [PDF]
PLoS ONEThe study of thermal therapy to tumors and the response of living cells to this therapy used to treat tumor is very important due to the complexity of heat transfer in biological tissues.
Hany H Sherief +3 more
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A Modified Thermoelastic Fractional Heat Conduction Model with a Single-Lag and Two Different Fractional-Orders [PDF]
Journal of Applied and Computational Mechanics, 2021 Recently, fractional calculus theory has been successfully employed in generalized thermoelasticity theory and several models with fractional order have been introduced.
Ahmed E. Abouelregal, Hijaz Ahmad
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Wavenumbers of type III thermoelastic waves in a long waveguide under sidewall heat interchanging
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 The paper presents a study of wavenumbers of coupled harmonic thermoelastic waves propagating via an infinite circular cylinder for higher azimuthal order. Heat interchanging between sidewall of the waveguide and environment is assumed.
M. V. Taranova, Yu. N. Radayev
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On Propagation of Rayleigh Type Surface Wave in Five Different Theories of Thermoelasticity
International Journal of Applied Mechanics and Engineering, 2019 The governing equations for a homogeneous and isotropic thermoelastic medium are formulated in the context of coupled thermoelasticity, Lord and Shulman theory of generalized thermoelasticity with one relaxation time, Green and Lindsay theory of ...
B. Singh, S. Verma
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Thermoelasticity and generalized thermoelasticity viewed as wave hierarchies [PDF]
IMA Journal of Applied Mathematics, 2007 It is seen how to write the standardÊ form of the four partial differential equations in four unknowns of anisotropic thermoelasticity as a single equation in one variable, in terms of isothermal and isentropic wave operators. This equation, of diffusive type, is of the eighth order in the space derivatives and seventh order in the time derivatives and
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Asymptotic solutions for generalized thermoelasticity with variable thermal material properties
Archives of Mechanics, 2016 In this paper, a unified generalized thermoelastic solution with variable thermal material properties is proposed in the context of different generalized models of thermoelasticity, including thermoelasticity with one thermal relaxation time (LS theory),
Y. Wang, D. Liu, Q. Wang, J. Zhou
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