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Journal of Thermal Stresses Volume 34, 2011 - Issue 4
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Original Articles

On the Theory of Two-Temperature Thermoelasticity with Two Phase-Lags

Santwana Mukhopadhyay Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, India
,
Rajesh Prasad Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, IndiaCorrespondence[email protected]
&
Roushan Kumar Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, India; Birla Institute of Technology, Mesra, Deoghar Campus, Jasidih, India
Pages 352-365 | Received 16 Jul 2010, Accepted 25 Sep 2010, Published online: 04 Mar 2011

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Abdush Salam Pramanik & Siddhartha Biswas. (2022) Eigenvalue approach to hyperbolic thermoelastic problem in porous orthotropic medium with Green-Lindsay model. Mechanics Based Design of Structures and Machines 50:12, pages 4229-4245.
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A. M. Abd-Alla, S. M. Abo-Dahab & A. A. Kilany. (2022) Effect of several fields on a generalized thermoelastic medium with voids in the context of Lord-Shulman or dual-phase-lag models. Mechanics Based Design of Structures and Machines 50:11, pages 3901-3924.
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K. Paul & B. Mukhopadhyay. (2020) Electromagnetic, thermal and diffusive wave analysis on a two-temperature generalized thermo-elastic problem in a semi-infinite solid with cylindrical cavity subject to thermal loads. Journal of Electromagnetic Waves and Applications 34:17, pages 2266-2288.
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Md Abul Kashim Molla, Nasiruddin Mondal & Sadek Hossain Mallik. (2020) Waves in generalized thermo-viscoelastic infinite continuum with cylindrical cavity due to three-phase-lag time-nonlocal heat transfer. Journal of Thermal Stresses 43:6, pages 784-800.
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Md Abul Kashim Molla, Nasiruddin Mondal & Sadek Hossain Mallik. (2019) Effects of fractional and two-temperature parameters on stress distributions for an unbounded generalized thermoelastic medium with spherical cavity. Arab Journal of Basic and Applied Sciences 26:1, pages 302-310.
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Articles from other publishers (21)

Ahmed E. Abouelregal & Ali F. Rashid. (2024) Deformation in a micropolar material under the influence of Hall current and initial stress fields in the context of a double-temperature thermoelastic theory involving phase lag and higher orders. Acta Mechanica.
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Shahala Sheikh, Lalsingh Khalsa, Gulshan Makkad & Vinod Varghese. (2024) Fractional dual-phase-lag hygrothermoelastic model for a sphere subjected to heat-moisture load. Archive of Applied Mechanics.
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Ahmed E. Abouelregal, Osama Moaaz, Khalil M. Khalil, Mohamed Abouhawwash & Mohamed E. Nasr. (2023) A Phase Delay Thermoelastic Model with Higher Derivatives and Two Temperatures for the Hall Current Effect on a Micropolar Rotating Material. Journal of Vibration Engineering & Technologies 12:2, pages 1505-1523.
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A. E. Abouelregal, R. Alanazi, A. H. Sofiyev & H. M. Sedighi. (2023) Thermal Analysis of a Rotating Micropolar Medium Using a Two-Temperature Micropolar Thermoelastic Model with Higher-Order Time Derivatives. Physical Mesomechanics 26:3, pages 251-266.
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Ahmed E. Abouelregal, Osama Moaaz, Khalil M. Khalil, Mohamed Abouhawwash & Mohamed E. Nasr. (2023) Micropolar thermoelastic plane waves in microscopic materials caused by Hall-current effects in a two-temperature heat conduction model with higher-order time derivatives. Archive of Applied Mechanics 93:5, pages 1901-1924.
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Ahmed E. Abouelregal, Marin Marin & Fahad Alsharari. (2022) Thermoelastic Plane Waves in Materials with a Microstructure Based on Micropolar Thermoelasticity with Two Temperature and Higher Order Time Derivatives. Mathematics 10:9, pages 1552.
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Ahmed E. Abouelregal. (2021) Thermo-viscoelastic properties in a non-simple three-dimensional material based on fractional derivative Kelvin–Voigt model. Indian Journal of Physics 96:2, pages 399-410.
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Marco Campo, Maria I. M. Copetti, José R. Fernández & Ramón Quintanilla. (2022) On existence and numerical approximation in phase-lag thermoelasticity with two temperatures. Discrete & Continuous Dynamical Systems - B 27:4, pages 2221.
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Ravi Kumar & Roushan Kumar. (2021) Effect of two-temperature parameter on thermoelastic vibration in micro and nano beam resonator. European Journal of Mechanics - A/Solids 89, pages 104310.
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José R. Fernández & Ramón Quintanilla. (2021) Uniqueness and exponential instability in a new two-temperature thermoelastic theory. AIMS Mathematics 6:6, pages 5440-5451.
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Ahmed E. Abouelregal, K. M. Khalil, F. A. Mohammed, M. E. Nasr, Adam Zakaria & Ibrahim-Elkhalil Ahmed. (2020) A generalized heat conduction model of higher-order time derivatives and three-phase-lags for non-simple thermoelastic materials. Scientific Reports 10:1.
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Ramón Quintanilla. (2020) Moore-Gibson-Thompson thermoelasticity with two temperatures. Applications in Engineering Science 1, pages 100006.
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Anil Kumar, Om Namha Shivay & Santwana Mukhopadhyay. (2019) Infinite speed behavior of two-temperature Green–Lindsay thermoelasticity theory under temperature-dependent thermal conductivity. Zeitschrift für angewandte Mathematik und Physik 70:1.
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Antonio Magaña, Alain Miranville & Ramón Quintanilla. (2018) On the stability in phase-lag heat conduction with two temperatures. Journal of Evolution Equations 18:4, pages 1697-1712.
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Kh. Lotfy. (2016) The elastic wave motions for a photothermal medium of a dual-phase-lag model with an internal heat source and gravitational field. Canadian Journal of Physics 94:4, pages 400-409.
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Rajneesh Kumar & Vandana Gupta. (2015) Effect of phase-lags on Rayleigh wave propagation in thermoelastic medium with mass diffusion. Multidiscipline Modeling in Materials and Structures 11:4, pages 474-493.
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Jafar Ghazanfarian, Zahra Shomali & Abbas Abbassi. (2015) Macro- to Nanoscale Heat and Mass Transfer: The Lagging Behavior. International Journal of Thermophysics 36:7, pages 1416-1467.
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Ashraf M. Zenkour & Ahmed E. Abouelregal. (2015) Thermoelastic interaction in functionally graded nanobeams subjected to time-dependent heat flux. Steel and Composite Structures 18:4, pages 909-924.
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Rajneesh Kumar, K. D. Sharma & S. K. Garg. (2014) Effect of Two Temperatures on Reflection Coefficient in Micropolar Thermoelastic with and without Energy Dissipation Media. Advances in Acoustics and Vibration 2014, pages 1-11.
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Mohamed I.A. OthmanW.M. HasonaElsayed M. Abd-Elaziz. (2014) Effect of rotation on micropolar generalized thermoelasticity with two temperatures using a dual-phase lag model. Canadian Journal of Physics 92:2, pages 149-158.
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M. Carme Leseduarte & Ramon Quintanilla. (2014) On the backward in time problem for the thermoelasticity with two temperatures. Discrete & Continuous Dynamical Systems - B 19:3, pages 679-695.
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