Study of Two-Temperature Generalized Thermo-Piezoelastic Problem

Banik, Sukla; Kanoria, M.

doi:10.1080/01495739.2012.720490

Cited by 7 publications

(4 citation statements)

References 47 publications

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“…Figures 1–9 correspond to ξ = 1 (for all three models) and agree with those of Banik and Kanoria [50].…”

Section: Numerical Results and Discussionsupporting

confidence: 85%

“…It is also observed that in each case, e has a steep jump at a particular value of x, in the neighborhood of which the strain wave shows its variation from its progressive nature to compressive and ultimately this wave dies out for any D (with ξ = 0.75, 1.5) for all three models (2T3P, 2TGNIII and 2TLS). Figures 1-9 correspond to ξ = 1 (for all three models) and agree with those of Banik and Kanoria [50]. …”

Section: Numerical Results and Discussionsupporting

confidence: 81%

“…Tianhu et al [48] discussed various thermal shock problems of piezoelectric plates by applying the LS and GL theories. The problems of piezoelasticity have been studied by many authors [49, 50].…”

Section: Introductionmentioning

confidence: 99%

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One-dimensional problem of a fractional order two-temperature generalized thermo-piezoelasticity

Islam

Kanoria

2013

Mathematics and Mechanics of Solids

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This paper is concerned with the determination of the thermoelastic stress, strain and conductive temperature in a piezoelastic half-space body in which the boundary is stress free and subjected to thermal loading in the context of the fractional order two-temperature generalized thermoelasticity theory (2TT). The two-temperature three-phase-lag (2T3P) model, two-temperature Green-Naghdi model III (2TGNIII) and two-temperature Lord-Shulman (2TLS) model of thermoelasticity are combined into a unified formulation introducing unified parameters. The basic equations have been written in the form of a vector-matrix differential equation in the Laplace transform domain that is then solved by the state-space approach. The numerical inversion of the transform is carried out by a method based on Fourier series expansion techniques. The numerical estimates of the quantities of physical interest are obtained and depicted graphically. The effect of the fractional order parameter, two-temperature and electric field on the solutions has been studied and comparisons among different thermoelastic models are made.

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“…Figures 1–9 correspond to ξ = 1 (for all three models) and agree with those of Banik and Kanoria [50].…”

Section: Numerical Results and Discussionsupporting

confidence: 85%

Section: Numerical Results and Discussionsupporting

confidence: 81%

See 1 more Smart Citation

One-dimensional problem of a fractional order two-temperature generalized thermo-piezoelasticity

Islam

Kanoria

2013

Mathematics and Mechanics of Solids

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“…Youssef [28] derived the variational principal theorem for a homogeneous isotropic body in the theory of two temperatures without energy dissipation. Banik and Kanoria [29] investigated thermoelastic interaction in a piezoelastic half-space body in which the boundary is stressfree and subjected to thermal loading in the context of twotemperature generalized thermoelasticity.…”

Section: Advances In Acoustics and Vibrationmentioning

confidence: 99%

Effect of Two Temperatures on Reflection Coefficient in Micropolar Thermoelastic with and without Energy Dissipation Media

Kumar

Sharma²,

Garg

2014

Advances in Acoustics and Vibration

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The reflection of plane waves at the free surface of thermally conducting micropolar elastic medium with two temperatures is studied. The theory of thermoelasticity with and without energy dissipation is used to investigate the problem. The expressions for amplitudes ratios of reflected waves at different angles of incident wave are obtained. Dissipation of energy and two-temperature effects on these amplitude ratios with angle of incidence are depicted graphically. Some special and particular cases are also deduced.

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Transient response in a piezoelastic medium due to the influence of magnetic field with memory-dependent derivative

Mondal¹,

Sur²,

Kanoria

2019

Acta Mech

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Study of Two-Temperature Generalized Thermo-Piezoelastic Problem

Cited by 7 publications

References 47 publications

One-dimensional problem of a fractional order two-temperature generalized thermo-piezoelasticity

One-dimensional problem of a fractional order two-temperature generalized thermo-piezoelasticity

Effect of Two Temperatures on Reflection Coefficient in Micropolar Thermoelastic with and without Energy Dissipation Media

Transient response in a piezoelastic medium due to the influence of magnetic field with memory-dependent derivative

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