State space approach to study thermal shock problem in nonlocal thermoelastic medium with double porosity

Mahato, Chandra Sekhar; Biswas, Siddhartha

doi:10.1080/01495739.2023.2173689

Cited by 11 publications

(2 citation statements)

References 38 publications

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“…Kumar et al [41] explored the Rayleigh waves phenomenon in a thermoelastic continua with double porosity. Recent research endeavors have been focused on probing thermoelastic interactions within double porous media [42][43][44][45][46][47].…”

Section: Introductionmentioning

confidence: 99%

Size-dependent effect on the interaction of surface waves in micropolar thermoelastic medium with dual pore connectivity

Das,

Dutta,

Craciun

et al. 2024

Phys. Scr.

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This research tackles a critical knowledge gap in Rayleigh surface wave propagation. It offers a comprehensive analysis that surpasses previous limitations. A size-dependent micropolar medium with unique void distributions and thermal effects is considered in this work. The constitutive relations and equations of motion for a nonlocal micropolar thermoelastic medium with double voids (MTMWDV) have been established by using Eringen's nonlocal elasticity theory. Employing the three-phase-lag thermoelasticity theory (TPLTE), the study utilizes a wave-mode method to derive analytical solutions for Rayleigh waves in a nonlocal MTMWDV. To gain a comprehensive understanding of wave behavior, we solve the characteristic equation and analyze its roots, applying a filter based on the surface wave decay condition. A medium with stress-free and isothermal boundaries is explored through computational simulations to determine the attenuation coefficient and phase velocity. Furthermore, particle motion analysis is conducted to complement the analytical and computational approaches. Moreover, the influence of the nonlocal parameter and various thermoelastic models on these wave phenomena is investigated. The validity of the current mathematical model is confirmed through the derivation of particular scenarios.

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Section: Introductionmentioning

confidence: 99%

Size-dependent effect on the interaction of surface waves in micropolar thermoelastic medium with dual pore connectivity

Das,

Dutta,

Craciun

et al. 2024

Phys. Scr.

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“…In a nonlocal elastic medium having double porosity, Kumar et al 22 investigated possibilities for the propagation of plane harmonic waves. Mahato and Biswas 23 studied a thermal shock problem in a nonlocal thermoelastic isotropic medium having double porosity using GN model of type III.…”

Section: Introductionmentioning

confidence: 99%

Reflection of plane waves in a rotating micropolar double porous thermoelastic medium with temperature dependent properties

Sheoran,

Kalkal,

Chaudhary

2024

Heat Trans

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The objective of this empirical investigation is to explore the behavior of different waves reflected in a homogenous isotropic double porous structured micropolar thermoelastic medium with rotation and temperature‐dependent characteristics. Three‐phase‐lag theory of thermoelasticity is adopted to acquire the governing equations of the model. Six coupled plane waves have been found to propagate across the medium at distinct velocities. Derivation for energy and amplitude ratios of reflected waves were carried out by employing appropriate boundary conditions. For different angles of incidence, the outcomes for energy partition were determined numerically and displayed graphically. It is found that amplitude ratios associated with various reflected waves are affected by angular velocity, temperature‐dependent properties, micropolar parameter, and double porosity. Also, it has been discovered that throughout the reflection phenomena there is no dissipation of energy. Furthermore, this study concludes with a summary of the findings and subsequent observations. The current investigation has yielded inferences regarding specific cases that are of particular interest.

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Thermomechanical interactions in nonlocal thermoelastic medium with double porosity structure

Mahato,

Biswas

2024

Mech Time-Depend Mater

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State space approach to study thermal shock problem in nonlocal thermoelastic medium with double porosity

Cited by 11 publications

References 38 publications

Size-dependent effect on the interaction of surface waves in micropolar thermoelastic medium with dual pore connectivity

Size-dependent effect on the interaction of surface waves in micropolar thermoelastic medium with dual pore connectivity

Reflection of plane waves in a rotating micropolar double porous thermoelastic medium with temperature dependent properties

Thermomechanical interactions in nonlocal thermoelastic medium with double porosity structure

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