On the propagation of elasto-thermodiffusive surface waves in heat-conducting materials

Sharma, J. N.; Sharma, Y. D.; Sharma, Pawan Kumar

doi:10.1016/j.jsv.2008.01.011

Cited by 30 publications

(14 citation statements)

References 15 publications

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“…Kumar and Kansal(2011) construct the fundamental solution of system of differential equations in the theory of thermomicrostretch elastic diffusive solids in case of steady oscillations in terms of elementary functions. Sharma (2007Sharma ( , 2008 discussed the plane harmonic generalized thermoelastic diffusive waves and elasto thermodiffusive surface waves in heat-conducting solids. Recently Kumar et al (2013)studied the reflection and transmission of plane waves at the interface between a microstretch thermoelastic diffusion solid half-space and elastic solid half space.…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis of the propagation characteristics of Stoneley waves at an interface between microstretch thermoelastic diffusion solid half spaces

Kumar

Ahuja

Garg

2014

Lat. Am. j. solids struct.

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This paper is concerned with the study of propagation of Stoneley waves at the interface of two dissimilar isotropic microstretch thermoelastic diffusion medium in the context of generalized theories of thermoelasticity. The dispersion equation of Stoneley waves is derived in the form of a determinant by using the boundary conditions. The dispersion curves giving the phase velocity and attenuation coefficients with wave number are computed numerically. Numerically computed results are shown graphically to depict the diffusion effect alongwith the relaxation times in microstretch thermoelastic diffusion solid half spaces for thermally insulated and impermeable boundaries, respectively. The components of displacement, stress, couple stress, microstress, and temperature change are presented graphically for two dissimilar microstretch thermoelastic diffusion half-spaces. Several cases of interest under different conditions are also deduced and discussed.

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Section: Introductionmentioning

confidence: 99%

Numerical analysis of the propagation characteristics of Stoneley waves at an interface between microstretch thermoelastic diffusion solid half spaces

Kumar

Ahuja

Garg

2014

Lat. Am. j. solids struct.

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“…Aouadi (2006aAouadi ( , b, 2007aAouadi ( , b, 2008 investigated the different types of problems in thrmoelastic diffusion. Sharma (2007Sharma ( , 2008) discussed the plane harmonic generalized thermoelastic diffusive waves and elasto-thermodiffusive surface waves in heat conducting solids. Recently Kumar et al (2008) derived the basic equations for generalized thermoelastic diffusion for GL-theory and discussed the propagation of Lamb waves.…”

Section: Introductionmentioning

confidence: 99%

A study of axi-symmetric waves through an isotropic thermoelastic diffusive medium

Kumar¹,

Panchal²

2011

Comput. Appl. Math.

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“…Sharma [16] discussed the propagation of plane harmonic waves in generalized thermoelastic diffusive heat conducting solids. Sharma et al [17] have also studied the propagation of surface waves in a generalized elasto-thermodiffusive half-space. Assuming that the disturbance is harmonically time dependent, Sharma et al [18,19] have obtained a general solution to the field equations of homogeneous isotropic, generalized thermoelastic diffusion with two relaxation times using Fourier transforms.…”

Section: Introductionmentioning

confidence: 99%

Disturbance due to Thermal and Mass Loads in Generalized Elasto-thermodiffusive Solids

2009

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The one-dimensional problem of a generalized elasto-thermodiffusive solid half-space, whose surface is maintained traction free but subjected to the action of thermal or mass concentration loads, has been investigated. The model, composed of basic governing equations and boundary conditions, has been solved by using the Laplace transform technique. As we know that the 'second sound' effects are short lived, thus, short-time approximations of solutions for dilatation, chemical potential, and stress functions have been obtained. The short-time solutions for each considered function consist of three waves, namely, elasto-diffusive, mass-diffusive, and thermodiffusive waves traveling with distinct speeds. The discontinuities at the wave fronts of various considered physical quantities have also been discussed. To obtain the dilatation, chemical potential, and stress in the physical domain due to instantaneous, continuous, and periodic loads, the transformed solutions of these functions have been inverted by employing a numerical technique. Finally, the dilatation, chemical potential, and stress functions have been computed numerically for copper and brass materials. The computer-simulated results so obtained have been presented graphically to illustrate the analytical developments.

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On the propagation of elasto-thermodiffusive surface waves in heat-conducting materials

Cited by 30 publications

References 15 publications

Numerical analysis of the propagation characteristics of Stoneley waves at an interface between microstretch thermoelastic diffusion solid half spaces

Numerical analysis of the propagation characteristics of Stoneley waves at an interface between microstretch thermoelastic diffusion solid half spaces

A study of axi-symmetric waves through an isotropic thermoelastic diffusive medium

Disturbance due to Thermal and Mass Loads in Generalized Elasto-thermodiffusive Solids

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