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Original Articles

Thermoelastic theory with microtemperatures and dissipative thermodynamics

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Pages 522-542 | Received 01 Sep 2017, Accepted 19 Sep 2017, Published online: 19 Oct 2017

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Pooja Rani, Rajneesh Kumar & Geeta Partap. (2023) Wave analysis in porous thermoelastic plate with microtemperature. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 104:2.
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Lamine Bouzettouta, Chaima Boulkheloua, Houssem Eddine Khochemane & Widad Karek. (2023) Exponential stability of Lord Shulman thermoelastic system with porous damping and distributed delay term. Asian-European Journal of Mathematics 16:12.
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Moncef Aouadi, Francesca Passarella & Vincenzo Tibullo. (2023) Stability of thermoelastic diffusion problem of type III in spaces of different dimensions. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 103:10.
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Noelia Bazarra, José R. Fernández & Ramón Quintanilla. (2022) Energy Decay in Thermoelastic Bodies with Radial Symmetry. Acta Applicandae Mathematicae 179:1.
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Moncef Aouadi, Mohamed Ben Bettaieb & Farid Abed‐Meraim. (2021) Analyticity of solutions to thermo‐elastic‐plastic flow problem with microtemperatures. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 101:11.
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Noelia Bazarra, José R. Fernández & Ramón Quintanilla. (2020) Lord–Shulman Thermoelasticity with Microtemperatures. Applied Mathematics & Optimization 84:2, pages 1667-1685.
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N. Bazarra, M.I.M. Copetti, J.R. Fernández & R. Quintanilla. (2021) Numerical analysis of a dual-phase-lag model with microtemperatures. Applied Numerical Mathematics 166, pages 1-25.
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Baowei Feng, Ling Yan & Dilberto da Silva Almeida Júnior. (2020) Stabilization for an inhomogeneous porous‐elastic system with temperature and microtemperature. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 101:6.
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Jacobo Baldonedo, Noelia Bazarra, José R. Fernández & Ramón Quintanilla. (2020) An a priori error analysis of a Lord–Shulman poro-thermoelastic problem with microtemperatures. Acta Mechanica 231:10, pages 4055-4076.
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M. Aouadi, F. Passarella & V. Tibullo. (2020) Exponential stability in Mindlin’s Form II gradient thermoelasticity with microtemperatures of type III. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476:2241.
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Noelia Bazarra, José R. Fernández & Ramón Quintanilla. (2020) Numerical analysis of a type III thermo-porous-elastic problem with microtemperatures. Computational and Applied Mathematics 39:3.
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Antonio Magaña & Ramón Quintanilla. (2019) Exponential Stability in Three-Dimensional Type III Thermo-Porous-Elasticity with Microtemperatures. Journal of Elasticity 139:1, pages 153-161.
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Kapil Kumar Kalkal, Reetika Goyal & Sunita Deswal. (2018) Thermo-mechanical interactions in a magneto-thermoelastic solid with microtemperatures and diffusion. Microsystem Technologies 25:10, pages 3747-3763.
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Jaime E. Muñoz Rivera & Ramon Quintanilla. (2018) Exponential stability to localized type III thermoelasticity. Journal of Mathematical Analysis and Applications 467:1, pages 379-397.
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Antonio Magaña & Ramón Quintanilla. (2018) Exponential stability in type III thermoelasticity with microtemperatures. Zeitschrift für angewandte Mathematik und Physik 69:5.
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