Reflection at the Free Surface of Generalized Thermoelastic Medium with Voids Under Three Phase Lag Effect

In this paper, propagation of plane waves in an isotropic, homogeneous, generalized magneto-thermo-viscoelastic semi-infinite medium (having stress-free insulated boundary) containing a distribution of vacuous pores (voids) has been investigated. Basic governing equations are based on the linear theory of thermoelasticity, namely, three-phase-lag (3PL) thermoelasticity to account for finite velocity of the temperature. It is found that three compressional waves and a shear vertical (SV) wave can exist in the medium adopted. Reflection phenomena of compressional and shear waves from the free surface of the medium is considered. The formulae for reflection coefficients of various reflected waves have been obtained in the closed form. The numerical values of the modulus of reflection coefficients are presented graphically.

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Publication Details

Journal
Communications on Applied Nonlinear Analysis
Published
2024-12-31
DOI
https://doi.org/10.52783/cana.v31.5942
Primary Topic
Elasticity and Wave Propagation
Type
article
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Reflection at the Free Surface of Generalized Thermoelastic Medium with Voids Under Three Phase Lag Effect

Renu Yadav Neelam Hooda
2 links
Communications on Applied Nonlinear Analysis
Elasticity and Wave Propagation
article

Reflection at the Free Surface of Generalized Thermoelastic Medium with Voids Under Three Phase Lag Effect

Renu Yadav Neelam Hooda
article en

Abstract

In this paper, propagation of plane waves in an isotropic, homogeneous, generalized magneto-thermo-viscoelastic semi-infinite medium (having stress-free insulated boundary) containing a distribution of vacuous pores (voids) has been investigated. Basic governing equations are based on the linear theory of thermoelasticity, namely, three-phase-lag (3PL) thermoelasticity to account for finite velocity of the temperature. It is found that three compressional waves and a shear vertical (SV) wave can exist in the medium adopted. Reflection phenomena of compressional and shear waves from the free surface of the medium is considered. The formulae for reflection coefficients of various reflected waves have been obtained in the closed form. The numerical values of the modulus of reflection coefficients are presented graphically.

Communications on Applied Nonlinear AnalysisVol. 31(8s)
Openalex Percentile: Top 68%
Elasticity and Wave Propagation
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