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Journal of Thermal Stresses Volume 37, 2014 - Issue 3
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Original Articles

On the Solutions of Equations of the Linear Thermoviscoelasticity Theory for Kelvin–Voigt Materials with Voids

Maia M. Svanadze Institute of Mathematics, University of Göttingen, Germany; Faculty of Exact and Natural Sciences, Tbilisi State University, GeorgiaCorrespondence[email protected]
Pages 253-269 | Received 12 Feb 2013, Accepted 09 Apr 2013, Published online: 03 Mar 2014

Citations (20)

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Read on this site (5)

Adel M. Al-Mahdi, Mohammad M. Al-Gharabli & Tijani A. Apalara. (2023) On the stability result of swelling porous-elastic soils with infinite memory. Applicable Analysis 102:16, pages 4501-4517.
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Maia M. Svanadze. (2017) Fundamental solution and uniqueness theorems in the linear theory of thermoviscoelasticity for solids with double porosity. Journal of Thermal Stresses 40:11, pages 1339-1352.
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Andreea Bucur. (2016) Spatial behavior in dynamical thermoviscoelasticity backward in time for porous media. Journal of Thermal Stresses 39:12, pages 1523-1538.
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Stan Chiriţă. (2015) On the Spatial Behavior of the Steady-State Vibrations in Thermoviscoelastic Porous Materials. Journal of Thermal Stresses 38:1, pages 96-109.
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MaiaM. Svanadze. (2014) Potential Method in the Theory of Thermoviscoelasticity for Materials with Voids. Journal of Thermal Stresses 37:8, pages 905-927.
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Articles from other publishers (15)

Maia M. Svanadze. (2024) On the coupled linear theory of thermoviscoelasticity of porous materials. Acta Mechanica.
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Salim A. Messaoudi, Adel M. Al‐Mahdi & Mohamed Alahyane. (2024) Theoretical and numerical results on the control of type III thermoelastic porous system. Mathematical Methods in the Applied Sciences.
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Bhagwan Singh & Santwana Mukhopadhyay. (2023) On fundamental solution of Moore–Gibson–Thompson (MGT) thermoelasticity theory. Zeitschrift für angewandte Mathematik und Physik 74:3.
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Brian Straughan. (2021) Continuous dependence and convergence for a Kelvin–Voigt fluid of order one. ANNALI DELL'UNIVERSITA' DI FERRARA 68:1, pages 49-61.
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Brian Straughan. (2020) Stability in Kelvin–Voigt poroelasticity. Bollettino dell'Unione Matematica Italiana 14:2, pages 357-366.
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Maia M. Svanadze. (2021) Potential Method in the Coupled Theory of Viscoelasticity of Porous Materials. Journal of Elasticity 144:2, pages 119-140.
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Bhagwan Singh & Santwana Mukhopadhyay. (2021) Galerkin-type solution for the Moore–Gibson–Thompson thermoelasticity theory. Acta Mechanica 232:4, pages 1273-1283.
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Suraj Goyal, Jai Bhagwan & S.K. Tomar. (2020) Elastic waves at the plane interface of swelling porous half-space and viscoelastic half-space with voids. International Journal of Mechanical Sciences 188, pages 105942.
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Manushi Gupta & Santwana Mukhopadhyay. (2019) Galerkin-type solution for the theory of strain and temperature rate-dependent thermoelasticity. Acta Mechanica 230:10, pages 3633-3643.
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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 .
Maia M. Svanadze. (2018) External boundary value problems in the quasi static theory of thermoviscoelasticity for Kelvin‐Voigt materials with double porosity. PAMM 17:1, pages 469-470.
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Maia M. Svanadze. (2017) On the solutions in the linear theory of micropolar viscoelasticity. Mechanics Research Communications 81, pages 17-25.
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Maia M. Svanadze. (2016) External boundary value problems in the quasi static theory of viscoelasticity for Kelvin‐Voigt materials with double porosity. PAMM 16:1, pages 497-498.
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Maia M. Svanadze. (2014) Potential method in the steady vibrations problems of the theory of thermoviscoelasticity for Kelvin‐Voigt materials with voids. PAMM 14:1, pages 347-348.
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Merab Svanadze. (2014) On the theory of viscoelasticity for materials with double porosity. Discrete & Continuous Dynamical Systems - B 19:7, pages 2335-2352.
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