Generalized thermoelastic interactions due to an inclined load at a two-temperature half-space

Abstract. This article addresses the thermoelastic interaction due to inclined load on a homogeneous isotropic half-space in context of two-temperature generalized theory of thermoelasticity with dual-phase-lags. It is assumed that the inclined load is a linear combination of both normal and tangential loads. The governing equations are solved by using the normal mode analysis. The variations of the displacement, stress, conductive temperature, and thermodynamic temperature distributions with the horizontal distance have been shown graphically. Results of some earlier workers have also been deduced from the present investigation as special cases. Some comparisons are graphically presented to estimate the effects of the two-temperature parameter, the dual-phase-lags parameters and the inclination angle. It is noticed that there is a significant difference in the values of the studied fields for different value of the angle of inclination. The method presented here maybe applicable to a wide range of problems in thermodynamics and thermoelasticity.

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Propagation of Rayleigh Wave in a Two-Temperature Generalized Thermoelastic Solid Half-Space

ISRN Geophysics ◽

10.1155/2013/857937 ◽

2013 ◽

Vol 2013 ◽

pp. 1-6 ◽

Cited By ~ 8

Author(s):

Baljeet Singh

Keyword(s):

Surface Wave ◽

Rayleigh Wave ◽

Half Space ◽

Generalized Thermoelasticity ◽

Frequency Equation ◽

Special Cases ◽

Temperature Parameter ◽

Generalized Thermoelastic ◽

Thermoelastic Solid ◽

Two Temperature

The Rayleigh surface wave is studied at a stress-free thermally insulated surface of an isotropic, linear, and homogeneous two-temperature thermoelastic solid half-space in the context of Lord and Shulman theory of generalized thermoelasticity. The governing equations of a two-temperature generalized thermoelastic medium are solved for surface wave solutions. The appropriate particular solutions are applied to the required boundary conditions to obtain the frequency equation of the Rayleigh wave. Some special cases are also derived. The speed of Rayleigh wave is computed numerically and shown graphically to show the dependence on the frequency and two-temperature parameter.

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Propagation of plane waves in a rotating transversely isotropic two temperature generalized thermoelastic solid half-space with voids

International Journal of Applied Mechanics and Engineering ◽

10.1515/ijame-2016-0018 ◽

2016 ◽

Vol 21 (2) ◽

pp. 285-301 ◽

Cited By ~ 8

Author(s):

R. Bijarnia ◽

B. Singh

Keyword(s):

Half Space ◽

Plane Waves ◽

Generalized Thermoelasticity ◽

Transversely Isotropic ◽

Reflection Coefficients ◽

Angle Of Incidence ◽

Reflected Waves ◽

Generalized Thermoelastic ◽

Thermoelastic Solid ◽

Two Temperature

AbstractThe paper is concerned with the propagation of plane waves in a transversely isotropic two temperature generalized thermoelastic solid half-space with voids and rotation. The governing equations are modified in the context of Lord and Shulman theory of generalized thermoelasticity and solved to show the existence of four plane waves in thex – zplane. Reflection of these plane waves from thermally insulated stress free surface is also studied to obtain a system of four non-homogeneous equations. For numerical computations of speed and reflection coefficients, a particular material is modelled as transversely isotropic generalized thermoelastic solid half-space. The speeds of plane waves are computed against the angle of propagation to observe the effects of two temperature and rotation. Reflection coefficients of various reflected waves are also computed against the angle of incidence to observe the effects of various parameters.

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A two-dimensional generalized thermoelastic diffusion problem for a half-space

European Journal of Mechanics - A/Solids ◽

10.1016/j.euromechsol.2015.01.002 ◽

2015 ◽

Vol 52 ◽

pp. 37-43 ◽

Cited By ~ 25

Author(s):

Tianhu He ◽

Chenlin Li ◽

Shuanhu Shi ◽

Yongbin Ma

Keyword(s):

Half Space ◽

Diffusion Problem ◽

Two Dimensional ◽

Thermoelastic Diffusion ◽

Generalized Thermoelastic Diffusion ◽

Generalized Thermoelastic

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Magnetic field on surface waves propagation in gravitational thermoelastic media with two temperature and initial stress in the context of three theories

Thermal Science ◽

10.2298/tsci20s1285b ◽

2020 ◽

Vol 24 (Suppl. 1) ◽

pp. 285-299

Author(s):

Jamel Bouslimi ◽

Sayed Abo-Dahab ◽

Khaled Lotfy ◽

Sayed Abdel-Khalek ◽

Eied Khalil ◽

...

Keyword(s):

Magnetic Field ◽

Surface Waves ◽

Initial Stress ◽

Half Space ◽

Generalized Thermoelasticity ◽

Phase Lag ◽

Mathematical Methods ◽

Numerical Work ◽

Suitable Material ◽

Two Temperature

In this paper is investigating the theory of generalized thermoelasticity under two temperature is used to solve boundary value problems of 2-D half-space its bound?ary with different types of heating under gravity effect. The governing equations are solved using new mathematical methods under the context of Lord-Shulman, Green-Naghdi theory of type III (G-N III) and the three-phase-lag model to inves?tigate the surface waves in an isotropic elastic medium subjected to gravity field, magnetic field, and initial stress. The general solution obtained is applied to a spe?cific problem of a half-space and the interaction with each other under the influence of gravity. The physical domain by using the harmonic vibrations is used to obtain the exact expressions for the Waves velocity and attenuation coefficients for Stoneley waves, Love waves, and Rayleigh waves. Comparisons are made with the results between the three theories. Numerical work is also performed for a suitable material with the aim of illustrating the results. The results obtained are calculated numerical?ly and presented graphically with some comparisons in the absence and the presence the influence of gravity, initial stress and magnetic field. It clears that the results ob?tained agree with the physical practical results and agree with the previous results if the gravity, two temperature, and initial stress neglect as special case from this study.

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