Infinite speed behavior of two-temperature Green–Lindsay thermoelasticity theory under temperature-dependent thermal conductivity

Kumar, Abhinav; Shivay, Om Namha; Mukhopadhyay, Santwana

doi:10.1007/s00033-018-1064-0

Cited by 9 publications

(2 citation statements)

References 43 publications

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“…Moreover, a decrease in the fluid concentration occurs with increasing the homogeneous-heterogeneous reactions parameters. The impacts of temperature-dependent thermal conduction coefficient on thermoelastic responses of a spherical cavity were analyzed by Kumar et al [18] who used the GL model of thermoelasticity. Kirchhoff transformation, modified Bessel functions, and the Laplace transform method were adopted to solve the thermoelastic equations of a 1D medium.…”

Section: Introductionmentioning

confidence: 99%

Modified G-L thermoelasticity theory for nonlinear longitudinal wave in a porous thermoelastic medium

Shakeriaski¹,

Salehi²,

Ghodrat³

2021

Phys. Scr.

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This paper presents a nonlinear analysis of the transient response of a porous medium affected by external traction. The formulation is presented based on a new modified G-L theory of thermoelasticity while temperature and strain rate parameters are included in the governing equations. Based on the finite strain theory (FST), the Lagrangian strain-displacement equation and Second Piola-Kirchhoff stress are applied to express the generalized form of thermoelasticity equations including large deformation. Both mechanical and thermal shocks are applied and finally, the effects of loading rate on transient response are discussed. An updated finite element method and Newmark's numerical time integration method are employed to solve the nonlinear and timedependent equations. It is determined that the modified G-L model is more powerful in predicting the wave propagation phenomenon. Furthermore, the findings indicate that the external surface shock induces compressive stresses, temperature raise, and volume fraction field increase in a porous medium. It is found compared to the classic model, the modified G-L model is superior in capturing the perceived wave propagation phenomenon.

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Section: Introductionmentioning

confidence: 99%

Modified G-L thermoelasticity theory for nonlinear longitudinal wave in a porous thermoelastic medium

Shakeriaski¹,

Salehi²,

Ghodrat³

2021

Phys. Scr.

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“…[29,30], Kumar et al. [31], Bazarra and Fernandez [32], Li et al. [33], Yang and Gao [34], Gao et al.…”

Section: Introductionmentioning

confidence: 99%

Effect of temperature‐dependent and internal heat source on a micropolar thermoelastic medium with voids under 3PHL model

2020

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The goal of the paper is to present the study of the effect of an internal heat source and the dependence of temperature on a micropolar voided medium that is thermoelastic in the theory of the three‐phase‐lag model of thermoelasticity. The governing equations are formulated and then the exact displacement component expressions, temperature field, microrotation components, the components of stress and volume fraction field change are found with the normal mode technique. The obtained results for thermal variations were validated by comparing to the three‐phase‐lag model (3PHL) and the Green and Naghdi of type III theory (G‐N III). The comparisons are shown graphically to explore the effects of the internal heat source and void parameters as well as temperature dependent. Other subjects of interest received their own deductions from this investigation.

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Temperature-dependent thermal conductivity in Green–Naghdi (type III) thermoelastic half-space with hydrostatic initial stress

Ailawalia,

Priyanka,

Lotfy

et al. 2024

Mech Time-Depend Mater

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Infinite speed behavior of two-temperature Green–Lindsay thermoelasticity theory under temperature-dependent thermal conductivity

Cited by 9 publications

References 43 publications

Modified G-L thermoelasticity theory for nonlinear longitudinal wave in a porous thermoelastic medium

Modified G-L thermoelasticity theory for nonlinear longitudinal wave in a porous thermoelastic medium

Effect of temperature‐dependent and internal heat source on a micropolar thermoelastic medium with voids under 3PHL model

Temperature-dependent thermal conductivity in Green–Naghdi (type III) thermoelastic half-space with hydrostatic initial stress

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