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Original Articles

Propagation of Plane Waves and Fundamental Solution in Thermoviscoelastic Medium with Voids

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Pages 94-111 | Received 31 Jan 2012, Accepted 27 Jul 2012, Published online: 12 Feb 2013

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Read on this site (19)

Poonam, Ravinder Kumar Sahrawat & Krishan Kumar. (2024) Plane wave propagation and fundamental solution in non-local couple stress micropolar thermoelastic solid medium with voids. Waves in Random and Complex Media 34:2, pages 879-914.
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Rajneesh Kumar & Divya Batra. (2023) Fundamental solution in a swelling porous medium containing a mixture of solid, liquid, and gas. Journal of Thermal Stresses 46:9, pages 935-948.
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Rajneesh Kumar, Sachin Kaushal & Vikram Dahiya. (2023) Axisymmetric problem in modified couple stress thermoelastic with void, diffusion and phase lags. Journal of Thermal Stresses 46:5, pages 351-368.
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Sangeeta Malik, Deepa Gupta, Krishan Kumar & Raj Kumar Sharma. (2022) Plane wave propagation and fundamental solution in functionally graded couple stress micropolar thermoelastic solid with diffusion and voids. Waves in Random and Complex Media 0:0, pages 1-27.
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Suraj Goyal, Jai Bhagwan, Rabia Kamra & S. K. Tomar. (2022) Plane dilatational and shear waves in a uniformly rotating thermo-viscoelastic material with voids. Mechanics of Advanced Materials and Structures 29:26, pages 4779-4799.
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Rajneesh Kumar & Divya Batra. (2022) Plane wave and fundamental solution in steady oscillation in swelling porous thermoelastic medium. Waves in Random and Complex Media 0:0, pages 1-24.
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Guoliang Liu, Hongzhi Zhao & Chengwen Liu. (2022) Green–Naghdi generalized thermoelasticity of FG-GPLRC layer under thermal shock with viscosity effects. Waves in Random and Complex Media 0:0, pages 1-25.
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Ravinder Kumar Sahrawat, Poonam   & Krishan Kumar. (2021) Plane wave and fundamental solution in non-local couple stress micropolar thermoelastic solid without energy dissipation. Journal of Thermal Stresses 44:3, pages 295-314.
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Siddhartha Biswas. (2020) Fundamental solution of steady oscillations in thermoelastic medium with voids. Waves in Random and Complex Media 30:4, pages 759-775.
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Siddhartha Biswas. (2020) Fundamental solution of steady oscillations equations in nonlocal thermoelastic medium with voids. Journal of Thermal Stresses 43:3, pages 284-304.
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Siddhartha Biswas. (2019) Fundamental solution of steady oscillations for porous materials with dual-phase-lag model in micropolar thermoelasticity. Mechanics Based Design of Structures and Machines 47:4, pages 430-452.
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Nantu Sarkar & S. K. Tomar. (2019) Plane waves in nonlocal thermoelastic solid with voids. Journal of Thermal Stresses 42:5, pages 580-606.
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Rajneesh Kumar, Nidhi Sharma & Parveen Lata. (2017) Effects of Hall current and two temperatures in transversely isotropic magnetothermoelastic with and without energy dissipation due to ramp-type heat. Mechanics of Advanced Materials and Structures 24:8, pages 625-635.
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Ciro D'Apice & Stan Chiriţă. (2016) Plane harmonic waves in the theory of thermoviscoelastic materials with voids. Journal of Thermal Stresses 39:2, pages 142-155.
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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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A. M. Zenkour, T. Saeed & A. A. Al-Raezah. (2024) Fractional order of refined Lord–Shulman model for a 1D thermoelastic response of skin tissue due to ramp-type heating. Archive of Applied Mechanics 94:4, pages 989-1003.
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R. Kumar, S. Kaushal & Bh. Pragati. (2024) Wave analysis and representation of fundamental solution in modified couple stress thermoelastic diffusion with voids, nonlocal and phase lags. Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika:2, pages 37-58.
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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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Krishan Kumar, Sangeeta Malik, Poonam & Ankush Antil. (2024) Fundamental Solution in Functionally Graded Non Local Couple Stress Thermoelastic Solid with Voids. Mechanics of Solids 58:9, pages 3148-3161.
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Liwei Xin & Yaser Kiani. (2023) Application of Chebyshev collocation element method to Green-Naghdi thermoelasticity of a bi-layered media consists of FGM and viscoelastic domains. Composite Structures 319, pages 117189.
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Jijun Luo, Shengbin Wu, Suxia Hou, Zohre Moradi, Mohammad Habibi & Mohamed Amine Khadimallah. (2022) Thermally nonlinear thermoelasticity of a one-dimensional finite domain based on the finite strain concept. European Journal of Mechanics - A/Solids 96, pages 104726.
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Bo Wang, Xingyuan Zhang & Bo Sun. (2022) Propagation Prediction of Body Waves in Fluid-Saturated Soils with Flow-Independent Viscosity. Symmetry 14:2, pages 408.
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Rajneesh Kumar, Sachin Kaushal & Vikram Dahiya. (2021) Porosity and phase lags response of thick circular plate in modified couple stress thermoelastic medium. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 101:12.
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Mohamed H. Hendy, Sayed I. El-Attar & Magdy A. Ezzat. (2020) Two-temperature fractional Green–Naghdi of type III in magneto-thermo-viscoelasticity theory subjected to a moving heat source. Indian Journal of Physics 95:4, pages 657-671.
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K.D. Sharma, Rajneesh Kumar, Mohit Kumar Kakkar & Suniti Ghangas. (2021) Three dimensional waves propagation in thermo-viscoelastic medium with two temperature and void. IOP Conference Series: Materials Science and Engineering 1033:1, pages 012059.
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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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Rajneesh Kumar & Divya Batra. (2020) Fundamental solution of steady oscillation in swelling porous thermoelastic medium. Acta Mechanica 231:8, pages 3247-3263.
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Dinesh Kumar Sharma, Prakash Chand Thakur, Nantu Sarkar & Mitali Bachher. (2020) Vibrations of a nonlocal thermoelastic cylinder with void. Acta Mechanica 231:7, pages 2931-2945.
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M. Mirzaei. (2019) Lord–Shulman Nonlinear Generalized Thermoviscoelasticity of a Strip. International Journal of Structural Stability and Dynamics 20:02, pages 2050017.
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Alaa. K. Khamis, Allal Bakali, A. A. El-Bary & Haitham. M. Atef. (2020) The effect of modified Ohm’s and Fourier’s laws in generalized magneto-thermo viscoelastic spherical region. AIMS Materials Science 7:4, pages 381-398.
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S.K. Tomar, N. Goyal & A. Szekeres. (2019) Plane Waves in Thermo-Viscoelastic Material with Voids Under Different Theories of Thermoelasticity. International Journal of Applied Mechanics and Engineering 24:3, pages 691-708.
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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 .
Baljeet Singh. (2018) Reflection of Plane Waves from Surface of a Generalized Thermo-Viscoelastic Porous Solid Half-Space with Impedance Boundary Conditions. Mechanics and Mechanical Engineering 22:4, pages 1483-1496.
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R. Kumar, A. Miglani & R. Rani. (2017) Generalized Two Temperatures Thermoelasticity of Micropolar Porous Circular Plate with Three Phase Lag Model. Journal of Mechanics 34:6, pages 779-789.
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Mohamed I.A. Othman & Montaser Fekry. (2018) Effect of rotation and gravity on generalized thermo-viscoelastic medium with voids. Multidiscipline Modeling in Materials and Structures 14:2, pages 322-338.
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Sergey A. Lurie, Alexander L. Kalamkarov, Yury O. Solyaev, Anastasia D. Ustenko & Alexander V. Volkov. (2018) Continuum micro-dilatation modeling of auxetic metamaterials. International Journal of Solids and Structures 132-133, pages 188-200.
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Rajneesh Kumar, Priyanka Kaushal & Rajni Sharma. (2017) Eigen value approach for dual phase lag micropolar porous thermoelastic circular plate with ramp type heating. Multidiscipline Modeling in Materials and Structures 13:4, pages 550-567.
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R. Kumar, P. Kaushal & R. Sharma. (2017) Axisymmetric Vibration for Micropolar Porous Thermoelastic Circular Plate. International Journal of Applied Mechanics and Engineering 22:3, pages 583-600.
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Dilbag Singh, Gurwinderpal Kaur & S. K. Tomar. (2017) Waves in Nonlocal Elastic Solid with Voids. Journal of Elasticity 128:1, pages 85-114.
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Parveen Lata, Rajneesh Kumar & Nidhi Sharma. (2016) Plane waves in an anisotropic thermoelastic. Steel and Composite Structures 22:3, pages 567-587.
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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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Andreea Bucur. (2015) Rayleigh surface waves problem in linear thermoviscoelasticity with voids. Acta Mechanica 227:4, pages 1199-1212.
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Rajneesh Kumar, Nidhi Sharma & Parveen Lata. (2016) Effects of Hall current in a transversely isotropic magnetothermoelastic with and without energy dissipation due to normal force. Structural Engineering and Mechanics 57:1, pages 91-103.
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S. Deswal & N. Hooda. (2015) A Two-Dimensional Problem for a Rotating Magneto-Thermoelastic Half-Space with Voids and Gravity in a Two-Temperature Generalized Thermoelasticity Theory. Journal of Mechanics 31:6, pages 639-651.
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Jai Bhagwan & S. K. Tomar. (2015) Reflection and Transmission of Plane Dilatational Wave at a Plane Interface Between an Elastic Solid Half-Space and a Thermo-viscoelastic Solid Half-Space with Voids. Journal of Elasticity 121:1, pages 69-88.
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Stan Chiriţă & Alexandre Danescu. (2015) Surface waves problem in a thermoviscoelastic porous half-space. Wave Motion 54, pages 100-114.
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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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Stan Chiriţă. (2014) Spatial behavior in the vibrating thermoviscoelastic porous materials. Discrete & Continuous Dynamical Systems - B 19:7, pages 2027-2038.
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