Reflection of plane waves in an anisotropic magnetothermoelastic diffusive medium with temperature dependent properties

Kalkal, Kapil Kumar; Sheokand, Suresh Kumar; Deswal, Sunita

doi:10.1080/01495739.2018.1536867

Cited by 12 publications

(5 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where 𝑓 * 1 is the magnitude of the mechanical load. On solving the system of equations (35), one can obtain 𝑀 𝑖 (𝑖 = 1, 2, 3, 4) as…”

Section: Boundary Conditionsmentioning

confidence: 99%

“…Many authors have studied the impacts of temperaturedependent properties on generalized TE models. Some of the relevant problems are studied by Said and Othman [34], Kalkal et al [35], and Mohammed and Tayel [36].…”

Section: Introductionmentioning

confidence: 99%

“…Some of the relevant problems are studied by Said and Othman [34], Kalkal et al. [35], and Mohammed and Tayel [36].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Photothermal interactions in a semiconducting fiber‐reinforced elastic medium with temperature‐dependent properties under dual‐phase‐lag model

Chaudhary,

Kalkal,

Sheoran

2023

Z Angew Math Mech

Self Cite

View full text Add to dashboard Cite

This article highlights the study of photothermoelastic interactions in a semiconducting fiber‐reinforced anisotropic medium with temperature‐dependent properties. The model is studied in the context of the photothermal transport process with dual‐phase‐lag theory of generalized thermoelasticity. The governing equations describe the interactions between elastic and plasma thermal waves. The normal mode analysis is employed to procure the exact expressions of the physical fields under investigation. A mechanical load is applied at the outer free surface of the medium to obtain the complete solution of the displacements, stresses, temperature, and carrier density distributions. Numerical results are obtained and displayed graphically with the help of MATLAB software. Some special cases of interest have been deduced from the present study and comparisons are also made among the different theories of thermoelasticity.

show abstract

“…where 𝑓 * 1 is the magnitude of the mechanical load. On solving the system of equations (35), one can obtain 𝑀 𝑖 (𝑖 = 1, 2, 3, 4) as…”

Section: Boundary Conditionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Photothermal interactions in a semiconducting fiber‐reinforced elastic medium with temperature‐dependent properties under dual‐phase‐lag model

Chaudhary,

Kalkal,

Sheoran

2023

Z Angew Math Mech

Self Cite

View full text Add to dashboard Cite

show abstract

“…Under three generalized thermo-elasticity models, Abo-Dahab [24] et al investigated the effect of rotation, initial stress, gravity field, thermal field, electromagnetic field, and voids on P wave reflection. K. Kumar et al [25] studied the reflection of plane waves under the properties of temperature-dependent in an anisotropic magneto-thermo-elastic diffusive medium. N. Dass et al [26] investigated the plane wave reflection in a nonlocal thermo-elastic medium from the stress-free insulated and isothermal boundaries.…”

Section: Kumar and T Kansalmentioning

confidence: 99%

Developments in the Reflection of plane waves

Sharma¹,

Sharma²

2021

JUSST

View full text Add to dashboard Cite

show abstract

“…Kalkal et al. [52] solved a two‐dimensional problem of generalized thermoelasticity for an anisotropic magneto‐thermoelastic diffusive medium under the effect of temperature‐dependent properties. Sharma et al.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic plane waves under the modified Green–Lindsay model with two‐temperature formulation

Sarkar

Mondal²

2020

Z Angew Math Mech

View full text Add to dashboard Cite

The present study is concerned with the reflection and propagation of thermoelastic plane waves from the stress‐free and thermally insulated surface of a homogeneous, isotropic thermally conducting elastic half‐space in the frame of modified Green–Lindsay theory of generalized thermoelasticity with two‐temperature (2TMGL). The thermoelastic coupling effect creates two types of coupled longitudinal waves which are dispersive as well as exhibit attenuation. Different from the thermoelastic coupling effect, there also exists one independent vertically shear‐type (SV‐type) wave. In contrast to the classical Green–Lindsay (GL) and Lord–Shulman (LS) theories of generalized thermoelasticity, the SV‐type wave is not only dispersive in nature but also experiences attenuation. Analytical expressions for the amplitude ratios and their respective energy ratios for reflected thermoelastic waves are determined when a coupled longitudinal wave is made incident on the free surface. The paper concludes with the numerical results on the phase speeds, amplitude ratios and their respective energy ratios for specific parameter choices. Various graphs have been plotted to analyze the behavior of these quantities. The characteristics of employing the 2TMGL model are discussed by comparing the numerical results obtained for the present model with those obtained in case of the two‐temperature Green–Lindsay (2TGL) and two‐temperature Lord–Shulman (2TLS) models.

show abstract

Reflection of plane waves in an anisotropic magnetothermoelastic diffusive medium with temperature dependent properties

Cited by 12 publications

References 20 publications

Photothermal interactions in a semiconducting fiber‐reinforced elastic medium with temperature‐dependent properties under dual‐phase‐lag model

Photothermal interactions in a semiconducting fiber‐reinforced elastic medium with temperature‐dependent properties under dual‐phase‐lag model

Developments in the Reflection of plane waves

Thermoelastic plane waves under the modified Green–Lindsay model with two‐temperature formulation

Contact Info

Product

Resources

About