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Original Articles

High-order approximations of three-phase-lag heat conduction model: Some qualitative results

Pages 608-626 | Received 10 Oct 2017, Accepted 24 Oct 2017, Published online: 06 Dec 2017

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (6)

Stan Chiriţă. (2024) Some characteristic properties of the solutions in the three-phase-lag heat conduction. Journal of Thermal Stresses 47:2, pages 143-163.
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Mohamed I. A. Othman & Ibrahim A. Abbas. (2023) 2-D Problem of micropolar thermoelastic rotating medium with eigenvalue approach under the three-phase-lag model. Waves in Random and Complex Media 33:2, pages 280-295.
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Ciro D’Apice & Vittorio Zampoli. (2022) Mathematical analysis of high-order three-phase-lagging models. Journal of Thermal Stresses 45:11, pages 865-885.
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Marwan A. Kutbi & Ashraf M. Zenkour. (2022) Thermoelastic interactions in an unbounded solid due to a continuous heat source using the modified TPL G–N model. Waves in Random and Complex Media 32:3, pages 1363-1384.
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Stan Chiriţă & Vittorio Zampoli. (2018) Spatial behavior of the dual-phase-lag deformable conductors. Journal of Thermal Stresses 41:10-12, pages 1276-1296.
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Vittorio Zampoli. (2018) Some continuous dependence results about high-order time differential thermoelastic models. Journal of Thermal Stresses 41:7, pages 827-846.
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Articles from other publishers (12)

Ahmed E. Abouelregal & Hamid M. Sedighi. (2022) Elastic Thermal Deformation of an Infinite Copper Material Due to Cyclic Heat Supply Using Higher-Order Nonlocal Thermal Modeling. Metals 12:11, pages 1927.
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Ashraf M. Allehaibi & Ashraf M. Zenkour. (2022) Magneto-Thermoelastic Response in an Infinite Medium with a Spherical Hole in the Context of High Order Time-Derivatives and Triple-Phase-Lag Model. Materials 15:18, pages 6256.
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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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Ashraf M. Zenkour. (2022) On Generalized Three-Phase-Lag Models in Photo-Thermoelasticity. International Journal of Applied Mechanics 14:02.
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Ahmed E. Abouelregal, Ömer Civalek & Hakan F. Oztop. (2021) Higher-order time-differential heat transfer model with three-phase lag including memory-dependent derivatives. International Communications in Heat and Mass Transfer 128, pages 105649.
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Samia M. Said & Yassmin D. Elmaklizi. (2019) A two-temperature thermo-microstretch elastic solid with Coriolis acceleration in the context of the three different theories. Indian Journal of Physics 94:9, pages 1375-1384.
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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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Ahmed E. Abouelregal. (2019) A novel generalized thermoelasticity with higher-order time-derivatives and three-phase lags. Multidiscipline Modeling in Materials and Structures 16:4, pages 689-711.
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Merab SvanadzeMerab Svanadze. 2019. Potential Method in Mathematical Theories of Multi-Porosity Media. Potential Method in Mathematical Theories of Multi-Porosity Media 273 282 .
Stan Chiriţă. (2018) High-order effects of thermal lagging in deformable conductors. International Journal of Heat and Mass Transfer 127, pages 965-974.
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Vittorio Zampoli. (2018) Uniqueness theorems about high-order time differential thermoelastic models. Ricerche di Matematica 67:2, pages 929-950.
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Vittorio Zampoli & Stan Chirita. (2018) On the depth of a thermomechanical signal in a dual-phase lag deformable medium. On the depth of a thermomechanical signal in a dual-phase lag deformable medium.

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