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

Singh, Baljeet

doi:10.1155/2013/857937

Cited by 10 publications

(2 citation statements)

References 25 publications

(32 reference statements)

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“…Later on, Youssef and Al-Lehaibi [24], Misra et al [25], Singh [26], and Singh and Bala [27] investigated various problems on the basis of two temperature thermoelasticity with relaxation times and showed that the obtained results are qualitatively different as compared to those in case of one temperature thermoelasticity.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Effect of Rotation for Two-Temperature Generalized Thermoelasticity of Two-Dimensional under Thermal Shock Problem

Lotfy

Hаssаn

2013

Mathematical Problems in Engineering

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The theory of two-temperature generalized thermoelasticity based on the theory of Youssef is used to solve boundary value problems of two-dimensional half-space. The governing equations are solved using normal mode method under the purview of the Lord-Şhulman (LS) and the classical dynamical coupled theory (CD). The general solution obtained is applied to a specific problem of a half-space subjected to one type of heating, the thermal shock type. We study the influence of rotation on the total deformation of thermoelastic half-space and the interaction with each other under the influence of two temperature theory. The material is homogeneous isotropic elastic half-space. The methodology applied here is use of the normal mode analysis techniques that are used to solve the resulting nondimensional coupled field equations for the two theories. Numerical results for the displacement components, force stresses, and temperature distribution are presented graphically and discussed. The conductive temperature, the dynamical temperature, the stress, and the strain distributions are shown graphically with some comparisons.

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Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Effect of Rotation for Two-Temperature Generalized Thermoelasticity of Two-Dimensional under Thermal Shock Problem

Lotfy

Hаssаn

2013

Mathematical Problems in Engineering

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“…Kumar and Mukhopadhay [9] studied the effects of thermal relaxations on wave propagation in theory of two-temperature thermoelasticity. Singh [17] studied the Rayleigh surface wave 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.…”

mentioning

confidence: 99%

Propagation of Rayleigh Surface Wave in a Two-Temperature Thermoelastic Solid Half-Space with Diffusion

Kumari¹,

Singh²

2016

JAAM

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Lord and Shulman theory of generalized thermoelasticity is applied to formulate the field equations governing a two-temperature thermoelastic medium with diffusion. The equations are reduced for an isotropic case in x-z plane. These equations are solved for general surface wave solutions. Particular solutions satisfying the required radiations conditions are obtained in a half-space. Applying suitable boundary conditions at free surface, a secular equation for wave speed of Rayleigh surface wave is obtained. The wave speed of Rayleigh wave is computed by using Fortran Program of iteration method for a particular example of the half-space. The effects of two-temperature parameter, frequency, thermodiffusion parameter and diffusion relaxation time are observed graphically on the wave speed of Rayleigh wave.

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Thermal shock problem of two-temperature generalized thermoelasticity without energy dissipation with rotation

et al. 2017

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

Cited by 10 publications

References 25 publications

Effect of Rotation for Two-Temperature Generalized Thermoelasticity of Two-Dimensional under Thermal Shock Problem

Effect of Rotation for Two-Temperature Generalized Thermoelasticity of Two-Dimensional under Thermal Shock Problem

Propagation of Rayleigh Surface Wave in a Two-Temperature Thermoelastic Solid Half-Space with Diffusion

Thermal shock problem of two-temperature generalized thermoelasticity without energy dissipation with rotation

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