Reflection of plane waves in thermo-diffusion elasticity without dissipation under the effect of rotation

Singh, Baljeet; Singh, Lakhbir; Deswal, Sunita

doi:10.1080/15376494.2014.933988

Cited by 10 publications

(6 citation statements)

References 29 publications

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“…Micro-concentration effect can be removed from the medium by taking h 1 = h 2 = h 3 = h 4 = h 5 = h 6 = m = 0 in the governing equations. If we further remove the impacts of initial stress and two-temperature from the medium, then our results match with those of Singh et al (2016), apart from the theory used.…”

Section: Neglecting Micro-concentrationmentioning

confidence: 52%

Wave propagation in an initially stressed rotating thermo-diffusive medium with two-temperature and micro-concentrations

Sheoran

Kumar

et al. 2020

HFF

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Purpose The purpose of this paper is to study the reflection of plane waves in an initially stressed rotating thermoelastic diffusive medium with micro-concentrations and two-temperature. Design/methodology/approach A two-dimensional model of generalized thermoelasticity is considered. The governing equations are transformed into the non-dimensional forms using the dimensionless variables. Then, potential functions are introduced for the decoupling of the waves. Further, appropriate boundary conditions are assumed to completely solve the problem. Finally, numerical computations are performed using MATLAB. Findings The problem is solved analytically and it is found that there exist five coupled waves in addition to an independent micro-concentration wave in the considered medium. The amplitude ratios and energy ratios of these reflected waves have also been computed numerically for a specific material. Originality/value The modulus values of amplitude ratios are presented graphically to exhibit the effects of angular velocity, initial stress, two-temperature, diffusion and micro-concentration parameters. The expressions of energy ratios obtained in explicit form are also depicted graphically as functions of angle of incidence. The law of conservation of energy at the free surface during reflection phenomenon is also verified.

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Section: Neglecting Micro-concentrationmentioning

confidence: 52%

Wave propagation in an initially stressed rotating thermo-diffusive medium with two-temperature and micro-concentrations

Sheoran

Kumar

et al. 2020

HFF

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“…Numerous theoretical aspects of reflection of the plane waves at surface boundaris of elastic media have been investigated unconsidering the effects of initial stresses [25][26][27][28][29][30]. Sing et al [31] have been investigated the effects of rotation on the reflection coefficients of dilatation waves. Biswas and Sarkar [32] found a solution of the oscillations equations in porous thermoelastic medium.…”

Section: Introductionmentioning

confidence: 99%

Transverse waves incident at the free surface of an initially stressed dissipative half-space

Selim¹,

Gepreel²

2021

Phys. Scr.

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In this work, an attempt is done to apply Biot`s incremental deformation theory to find out the effects of initial stresses on the reflected transverse waves (S-waves) at a free surface of dissipative half-space medium. Equations of motion and its corresponding solutions are derived in lights of Biot`s theory. The impact of initial stresses and medium`s dissipation on the reflected transverse wave are studied in detail. Numerical calculations carried out using Aswan geological crustal structure and the results are presented graphically. Numerical findings reveal that, the initial stresses and the medium dissipation effects the reflection coefficients of transverse wave considerably. In addition, it has been noted that, the phase velocity decreases considerably as the initial stress parameter increases. Since the crust of the Earth, , is dissipative and initially stressed medium, thus understanding the effects of these parameters may help seismologists to get accurate results of reflected seismic transverse wave at the surface of Earth crust.

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“…Das and Kanoria (2014) formulated the problem of wave propagation in a homogeneous, isotropic and unbounded rotating elastic medium in the context of generalized theory of thermoelasticity for GN II and GN III models under the influence of magnetic field. Singh et al (2016) studied the effects of rotation and diffusion on plane wave propagation in a thermoelastic half-space. Effects of rotation and Hall current on a magneto‐thermoelastic solid with microtemperatures and voids have been observed by Othman and Abd-Elaziz (2017).…”

Section: Introductionmentioning

confidence: 99%

A two-dimensional half-space problem in an initially stressed rotating medium with microtemperatures

Deswal

Sheoran

Kalkal

2020

MMMS

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PurposeThe purpose of this paper is to establish a model of two-dimensional half-space problem of linear, isotropic, homogeneous, initially stressed, rotating thermoelastic medium with microtemperatures. The expressions for different physical variables such as displacement distribution, stress distribution, temperature field and microtemperatures are obtained in the physical domain.Design/methodology/approachNormal mode analysis technique is adopted to procure the exact solution of the problem.FindingsNumerical computations have been carried out with the help of MATLAB programming, and the results are illustrated graphically. Comparisons are made to show the effects of rotation, time and microtemperatures on the resulting quantities. The graphical results indicate that the effects of rotation, microtemperatures and time are very pronounced on the field variables.Originality/valueIn the present work, we have investigated the effects of rotation, time and microtemperature in an initially stressed thermoelastic medium. Although various investigations do exist to observe the disturbances in a thermoelastic medium under the effects of different parameters, the work in its present form, i.e. the disturbances in a thermoelastic medium in the presence of angular velocity, initial stress and microtemperature have not been studied till now. The present work is useful and valuable for analysis of problems involving coupled thermal shock, rotation parameter, microtemperatures and elastic deformation.

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Reflection of plane waves in thermo-diffusion elasticity without dissipation under the effect of rotation

Cited by 10 publications

References 29 publications

Wave propagation in an initially stressed rotating thermo-diffusive medium with two-temperature and micro-concentrations

Wave propagation in an initially stressed rotating thermo-diffusive medium with two-temperature and micro-concentrations

Transverse waves incident at the free surface of an initially stressed dissipative half-space

A two-dimensional half-space problem in an initially stressed rotating medium with microtemperatures

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