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Mathematical Modelling and Analysis Volume 21, 2016 - Issue 3
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Original Articles

Two-Dimensional Coupled Solution for Thermoelastic Beams via Generalized Dual-Phase-Lags Model

Ashraf M. ZenkourDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, 21589Jeddah, Saudi Arabia;Department of Mathematics, Faculty of Science, Kafrelsheikh University, 33516Kafr El-Sheikh, EgyptCorrespondence[email protected]
Pages 319-335 | Received 08 Jun 2015, Accepted 15 May 2016, Published online: 19 May 2016

Citations (21)

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F. S. Bayones, A. A. Kilany, Ahmed E. Abouelregal & S. M. Abo-Dahab. (2023) A rotational gravitational stressed and voids effect on an electromagnetic photothermal semiconductor medium under three models of thermoelasticity. Mechanics Based Design of Structures and Machines 51:2, pages 1115-1141.
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Ismail M. Tayel. (2022) Generalized functionally graded thermoelastic layer under the effect of volumetric absorption of laser radiation. Mechanics Based Design of Structures and Machines 50:10, pages 3533-3548.
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Siddhartha Biswas. (2021) Eigenvalue approach to a magneto-thermoelastic problem in transversely isotropic hollow cylinder: comparison of three theories. Waves in Random and Complex Media 31:3, pages 403-419.
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Ashraf M. Zenkour. (2020) Wave propagation of a gravitated piezo-thermoelastic half-space via a refined multi-phase-lags theory. Mechanics of Advanced Materials and Structures 27:22, pages 1923-1934.
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Articles from other publishers (17)

Maryam H. Aljadani & Ashraf M. Zenkour. (2023) Effect of magnetic field on a thermoviscoelastic body via a refined two-temperature Lord–Shulman model. Case Studies in Thermal Engineering 49, pages 103197.
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A. M. Zenkour & A. E. Abouelregal. (2021) Effects of variable harmonic heat and photothermal elasticity on an infinitely long solid semiconductor cylinder. Journal of the Korean Physical Society.
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Farshad Shakeriaski, Maryam Ghodrat, Juan Escobedo-Diaz & Masud Behnia. (2021) Recent advances in generalized thermoelasticity theory and the modified models: a review. Journal of Computational Design and Engineering 8:1, pages 15-35.
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Ashraf M. Zenkour. (2020) Exact coupled solution for photothermal semiconducting beams using a refined multi-phase-lag theory. Optics & Laser Technology 128, pages 106233.
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A.M. Zenkour & H.F. El-Mekawy. (2020) On a multi-phase-lag model of coupled thermoelasticity. International Communications in Heat and Mass Transfer 116, pages 104722.
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Daoud S. Mashat & Ashraf M. Zenkour. (2020) Modified DPL Green–Naghdi theory for thermoelastic vibration of temperature-dependent nanobeams. Results in Physics 16, pages 102845.
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Ashraf M. Zenkour & Marwan A. Kutbi. (2019) Multi thermal relaxations for thermodiffusion problem in a thermoelastic half-space. International Journal of Heat and Mass Transfer 143, pages 118568.
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Ashraf M. Zenkour. (2019) Effect of thermal activation and diffusion on a photothermal semiconducting half-space. Journal of Physics and Chemistry of Solids 132, pages 56-67.
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A. M. Zenkour & A. E. Abouelregal. (2017) Thermoelastic Interactions in an Infinite Orthotropic Continuum of a Variable Thermal Conductivity with a Cylindrical Hole. Iranian Journal of Science and Technology, Transactions of Mechanical Engineering 43:2, pages 281-290.
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Muhammad Rafiq, Baljeet Singh, Samreen Arifa, Muhammad Nazeer, Muhammad Usman, Shoaib Arif, Mairaj Bibi & Adnan Jahangir. (2019) Harmonic waves solution in dual-phase-lag magneto-thermoelasticity. Open Physics 17:1, pages 8-15.
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Ashraf M. Zenkour. (2019) Refined multi-phase-lags theory for photothermal waves of a gravitated semiconducting half-space. Composite Structures 212, pages 346-364.
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Ashraf M. Zenkour. (2018) Refined microtemperatures multi-phase-lags theory for plane wave propagation in thermoelastic medium. Results in Physics 11, pages 929-937.
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Ayoob Entezari, Matteo Filippi, Erasmo Carrera & Mohammad Ali Kouchakzadeh. (2018) 3D-wave propagation in generalized thermoelastic functionally graded disks. Composite Structures 206, pages 941-951.
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A. M. Zenkour. (2018) Refined two-temperature multi-phase-lags theory for thermomechanical response of microbeams using the modified couple stress analysis. Acta Mechanica 229:9, pages 3671-3692.
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Rajneesh Kumar, Aseem Miglani & Rekha Rani. (2017) Eigenvalue formulation to micropolar porous thermoelastic circular plate using dual phase lag model. Multidiscipline Modeling in Materials and Structures 13:2, pages 347-362.
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Ashraf M. Zenkour. (2016) EFFECTS OF PHASE-LAGS AND VARIABLE THERMAL CONDUCTIVITY IN A THERMOVISCOELASTIC SOLID WITH A CYLINDRICAL CAVITY. Honam Mathematical Journal 38:3, pages 435-454.
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Ashraf M. Zenkour, Ahmed E. Abouelregal, Khaled A. Alnefaie, Nidal H. Abu-Hamdeh, Abdulmalik A. Aljinaidi & Elias C. Aifantis. (2016) Two-temperature dual-phase-lags theory in a thermoelastic solid half-space due to an inclined load. Mechanical Sciences 7:2, pages 179-187.
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