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Original Articles

THE UNIQUENESS AND RECIPROCITY THEOREMS FOR GENERALIZED THERMOVISCOELASTICITY FOR ANISOTROPIC MEDIA

Pages 507-522 | Published online: 19 Jan 2011

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

Read on this site (16)

Magdy A. Ezzat. (2022) Hyperbolic thermal-plasma wave propagation in semiconductor of organic material. Waves in Random and Complex Media 32:1, pages 334-358.
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Sudip Mondal & M. Kanoria. (2020) Thermoelastic solutions for thermal distributions moving over thin slim rod under memory-dependent three-phase lag magneto-thermoelasticity. Mechanics Based Design of Structures and Machines 48:3, pages 277-298.
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Ahmed S. El-Karamany & Magdy A. Ezzat. (2017) Fractional phase-lag Green–Naghdi thermoelasticity theories. Journal of Thermal Stresses 40:9, pages 1063-1078.
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Magdy A. Ezzat, Ahmed S. El-Karamany & Alaa A. El-Bary. (2017) On dual-phase-lag thermoelasticity theory with memory-dependent derivative. Mechanics of Advanced Materials and Structures 24:11, pages 908-916.
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Magdy A. Ezzat & Alaa A. El-Bary. (2017) Fractional order theory to an infinite thermo-viscoelastic body with a cylindrical cavity in the presence of an axial uniform magnetic field. Journal of Electromagnetic Waves and Applications 31:5, pages 495-513.
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Magdy A. Ezzat, Ahmed S. El-Karamany & Alaa A. El-Bary. (2017) Application of fractional order theory of thermoelasticity to 3D time-dependent thermal shock problem for a half-space. Mechanics of Advanced Materials and Structures 24:1, pages 27-35.
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Ahmed S. El-Karamany & Magdy A. Ezzat. (2016) Thermoelastic diffusion with memory-dependent derivative. Journal of Thermal Stresses 39:9, pages 1035-1050.
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Sandeep Singh Sheoran, Kapil Kumar Kalkal & Sunita Deswal. (2016) Fractional order thermo-viscoelastic problem with temperature dependent modulus of elasticity. Mechanics of Advanced Materials and Structures 23:4, pages 407-414.
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Magdy A. Ezzat, A.S. El-Karamany & Alla A. El-Bary. (2016) Magneto-thermoelasticity with two fractional order heat transfer. Journal of the Association of Arab Universities for Basic and Applied Sciences 19:1, pages 70-79.
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Magdy A. Ezzat & Hamdy M. Youssef. (2016) Three-dimensional thermo-viscoelastic material. Mechanics of Advanced Materials and Structures 23:1, pages 108-116.
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Magdy A. Ezzat & Alaa A. El-Bary. (2014) Two-temperature theory of magneto-thermo-viscoelasticity with fractional derivative and integral orders heat transfer. Journal of Electromagnetic Waves and Applications 28:16, pages 1985-2004.
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MagdyA. Ezzat & HamdyM. Youssef. (2014) Two-Temperature Theory in Three-Dimensional Problem for Thermoelastic Half Space Subjected to Ramp Type Heating. Mechanics of Advanced Materials and Structures 21:4, pages 293-304.
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MagdyA. Ezzat, M. Zakaria & A.A. El-Bary. (2012) Two-Temperature Theory in Thermo-Electric Viscoelastic Material Subjected to Modified Ohm's and Fourier's Laws. Mechanics of Advanced Materials and Structures 19:6, pages 453-464.
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Magdy A. Ezzat, Ahmed S. El-Karamany, Angail A. Samaan & M. Zakaria. (2003) THE RELAXATION EFFECTS OF THE VOLUME PROPERTIES OF VISCOELASTIC MATERIAL IN GENERALIZED THERMOELASTICITY WITH THERMAL RELAXATION. Journal of Thermal Stresses 26:7, pages 671-690.
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Articles from other publishers (42)

Kirti K. Jojare & Kishor R. Gaikwad. (2024) Memory Effects in Anisotropic Viscothermoelastic Media: A Three Phase Lag Model Analysis. Iranian Journal of Science and Technology, Transactions of Mechanical Engineering.
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Abaker A. Hassaballa, Mohamed H. Hendy & Magdy A. Ezzat. (2024) A modified Green–Naghdi fractional-order model for analyzing thermoelectric semispace heated by a moving heat source. Mechanics of Time-Dependent Materials.
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Magdy A. Ezzat & Manal H. Alabdulhadi. (2022) Thermomechanical interactions in viscoelastic skin tissue under different theories. Indian Journal of Physics 97:1, pages 47-60.
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Zeid I. A. Al-Muhiameed. (2022) New Insights on Fractional GN II Thermoelasticity Theory. Journal of Engineering Mechanics 148:8.
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Wei Peng, Like Chen & Tianhu He. (2022) A modified fractional-order thermo-viscoelastic model and its application to a polymer micro-rod heated by a moving heat source. Applied Mathematics and Mechanics 43:4, pages 507-522.
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Indranil Sarkar & Basudeb Mukhopadhyay. (2020) Generalized thermo-viscoelasticity with memory-dependent derivative: uniqueness and reciprocity. Archive of Applied Mechanics 91:3, pages 965-977.
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M. Javani, Y. Kiani, M. Shakeri & M.R. Eslami. (2021) A unified formulation for thermoviscoelasticity of hollow sphere based on the second sound theories. Thin-Walled Structures 158, pages 107167.
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R. Kumar & P. Sharma. (2019) Basic theorems and wave propagation in a piezothermoelastic medium with dual phase lag. Indian Journal of Physics 94:12, pages 1975-1992.
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Biswajit Singh, Indranil Sarkar & Smita Pal (Sarkar). (2020) Temperature-Rate-Dependent Thermoelasticity Theory With Memory-Dependent Derivative: Energy, Uniqueness Theorems, and Variational Principle. Journal of Heat Transfer 142:10.
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Sudip Mondal, Abhik Sur, Debargha Bhattacharya & Mridula Kanoria. (2019) Thermoelastic interaction in a magneto-thermoelastic rod with memory-dependent derivative due to the presence of moving heat source. Indian Journal of Physics 94:10, pages 1591-1602.
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Sudip Mondal. (2019) Interactions due to a moving heat source in a thin slim rod under memory-dependent dual-phase lag magneto-thermo-visco-elasticity. Mechanics of Time-Dependent Materials 24:2, pages 233-252.
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Sudip Mondal. (2020) Interactions of a Heat Source Moving over a Visco-Thermoelastic Rod kept in a Magnetic Field in the Lord–Shulman Model under a Memory Dependent Derivative. Computational Mathematics and Modeling 31:2, pages 256-276.
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S. Mondal, P. Pal & M. Kanoria. (2018) Transient response in a thermoelastic half-space solid due to a laser pulse under three theories with memory-dependent derivative. Acta Mechanica 230:1, pages 179-199.
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Mohamed H. Hendy, Magdy M. Amin & Magdy A. Ezzat. (2017) Magneto-electric interactions without energy dissipation for a fractional thermoelastic spherical cavity. Microsystem Technologies 24:7, pages 2895-2903.
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Ahmed S El-Karamany, Magdy A Ezzat & Alaa A El-Bary. (2016) Thermodiffusion with two time delays and Kernel functions. Mathematics and Mechanics of Solids 23:2, pages 195-208.
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Magdy A. Ezzat, Ahmed S. El-Karamany & Alaa A. El-Bary. (2017) Two-temperature theory in Green–Naghdi thermoelasticity with fractional phase-lag heat transfer. Microsystem Technologies 24:2, pages 951-961.
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Magdy A. Ezzat & Alla. A. El-Bary. (2017) Thermoelectric spherical shell with fractional order heat transfer. Microsystem Technologies 24:2, pages 891-899.
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M. A. Ezzat & A. A. El-Bary. (2016) On thermo-viscoelastic infinitely long hollow cylinder with variable thermal conductivity. Microsystem Technologies 23:8, pages 3263-3270.
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Magdy A. Ezzat & Alaa. A. El-Bary. (2016) Application of fractional order theory of magneto-thermoelasticity to an infinite perfect conducting body with a cylindrical cavity. Microsystem Technologies 23:7, pages 2447-2458.
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Magdy A. Ezzat & Alaa A. El-Bary. (2016) Generalized fractional magneto-thermo-viscoelasticity. Microsystem Technologies 23:6, pages 1767-1777.
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M.A. Ezzat & A.A. El-Bary. (2016) Modeling of fractional magneto-thermoelasticity for a perfect conducting materials. Smart Structures and Systems 18:4, pages 707-731.
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M.A. Ezzat & A.A. El-Bary. (2016) Effects of variable thermal conductivity and fractional order of heat transfer on a perfect conducting infinitely long hollow cylinder. International Journal of Thermal Sciences 108, pages 62-69.
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Ahmed S. El-Karamany & Magdy A. Ezzat. (2016) On the phase- lag Green–Naghdi thermoelasticity theories. Applied Mathematical Modelling 40:9-10, pages 5643-5659.
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M.A. Ezzat & A.A. El-Bary. (2016) Magneto-thermoelectric viscoelastic materials with memory-dependent derivative involving two-temperature. International Journal of Applied Electromagnetics and Mechanics 50:4, pages 549-567.
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Magdy A. Ezzat, Ahmed S. El Karamany & A.A. El-Bary. (2016) Electro-thermoelasticity theory with memory-dependent derivative heat transfer. International Journal of Engineering Science 99, pages 22-38.
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Sudip Mondal, Sadek Hossain Mallik & M. Kanoria. (2014) Fractional Order Two-Temperature Dual-Phase-Lag Thermoelasticity with Variable Thermal Conductivity. International Scholarly Research Notices 2014, pages 1-13.
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Son K. Hoang & Younane N. Abousleiman. (2012) Correspondence principle between anisotropic poroviscoelasticity and poroelasticity using micromechanics and application to compression of orthotropic rectangular strips. Journal of Applied Physics 112:4.
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Magdy A. Ezzat, Ahmed S. El Karamany & Mohsen A. Fayik. (2011) Fractional order theory in thermoelastic solid with three-phase lag heat transfer. Archive of Applied Mechanics 82:4, pages 557-572.
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Magdy A. Ezzat & Ahmed S. El Karamany. (2011) Fractional order heat conduction law in magneto-thermoelasticity involving two temperatures. Zeitschrift für angewandte Mathematik und Physik 62:5, pages 937-952.
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SOUMEN SHAW & BASUDEB MUKHOPADHYAY. (2011) Thermo elastic waves with thermal relaxation in isotropic micropolar plate. Sadhana 36:2, pages 209-221.
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Magdy A. EzzatAhmed S. El-Karamany. (2011) Fractional order theory of a perfect conducting thermoelastic medium. Canadian Journal of Physics 89:3, pages 311-318.
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M. A. Ezzat, M. Zakaria & A. A. El‐Bary. (2010) Thermo‐electric‐visco‐elastic material. Journal of Applied Polymer Science 117:4, pages 1934-1944.
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J.R. Fernández & Kenneth L. Kuttler. (2010) A dynamic thermoviscoelastic problem: An existence and uniqueness result. Nonlinear Analysis: Theory, Methods & Applications 72:11, pages 4124-4135.
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Magdy A. Ezzat, M. Zakaria & Ahmed S. El-Karamany. (2010) Effects of modified Ohm’s and Fourier’s laws on generalized magneto-viscoelastic thermoelasticity with relaxation volume properties. International Journal of Engineering Science 48:4, pages 460-472.
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Μ. A. Ezzat & H. M. Atef. (2010) Influence of Thermoelectricity Properties on Magneto-Viscoelastic Material. Journal of Polymer Engineering 30:1.
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M. Rakshit & B. Mukhopadhyay. (2007) A two dimensional thermoviscoelastic problem due to instantaneous point heat source. Mathematical and Computer Modelling 46:11-12, pages 1388-1397.
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Magdy A. Ezzat. (2006) The relaxation effects of the volume properties of electrically conducting viscoelastic material. Materials Science and Engineering: B 130:1-3, pages 11-23.
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Magdy A. Ezzat & Hamdy M. Youssef. (2005) Generalized magneto-thermoelasticity in a perfectly conducting medium. International Journal of Solids and Structures 42:24-25, pages 6319-6334.
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M. Rakshit Kundu & B. Mukhopadhyay. (2005) A thermoviscoelastic problem of an infinite medium with a spherical cavity using generalized theory of thermoelasticity. Mathematical and Computer Modelling 41:1, pages 25-32.
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Ahmed S. El-Karamany. (2004) Boundary integral equation formulation for the generalized micro-polar thermoviscoelasticity. International Journal of Engineering Science 42:2, pages 157-186.
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Magdy A. Ezzat & Ahmed S. El-Karamany. (2003) The relaxation effects of the volume properties of viscoelastic material in generalized thermoelasticity. International Journal of Engineering Science 41:19, pages 2281-2298.
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A. S. El-Karamany. (2003) Boundary Integral Equation Formulation in Generalized Linear Thermo-Viscoelasticity With Rheological Volume. Journal of Applied Mechanics 70:5, pages 661-667.
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