Fractional Order Generalized Thermoelastic Problem in a Thick Circular Plate with Periodically Varying Heat Source

Tripathi, J. J.; Deshmukh, K. C.; Verma, J.

doi:10.5541/eoguijt.336651

Cited by 4 publications

(5 citation statements)

References 21 publications

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“…The key that was derived by Deshmukh et al [41] for an isotropic, homogeneous, elastic hollow is compatible with the present thermoelastic solutions that were determined. In this piece of research, a fractional-order constitutive model and the classic continuity equation are brought together.…”

Section: Deduction and Validation Of The Resultssupporting

confidence: 88%

See 1 more Smart Citation

Thermoelastic Analysis For A Thick Plate Under The Radiation Boundary Conditions

DHAMEJA¹,

Khalsa²,

Varghese³

2023

International Journal of Thermodynamics

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A fractional Cattaneo model for studying the thermoelastic response for a finite thick circular plate with source function is considered. The thick plate is subjected to radiation-type boundary conditions on the upper and lower surfaces, and its curved surface is kept at zero temperature. The theory of integral transformations is used to solve the generalized fractional Cattaneo-type, classical Cattaneo-Vernotte and Fourier heat conduction model. The analytical expressions of displacement components using thermoelastic displacement potentials; and thermal-stress distribution are computed and depicted graphically. The effects of the fractional-order parameter and the relaxation time on the temperature fields and their thermal stresses are investigated. The findings show that the higher the fractional-order parameter, the higher the thermal response. The greater the relaxation period, the longer the heat flux propagates on thick structures.

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Section: Deduction and Validation Of The Resultssupporting

confidence: 88%

“…(ii) Taking 0   in Eq. ( 5), the equation reduces to the classical Fourier heat conduction model [41] as given in Eq. ( 51) with a solution in Eq.…”

Section: Deduction and Validation Of The Resultsmentioning

confidence: 99%

Thermoelastic Analysis For A Thick Plate Under The Radiation Boundary Conditions

DHAMEJA¹,

Khalsa²,

Varghese³

2023

International Journal of Thermodynamics

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“…Authors have confirmed that very little work has been reported in this field due to the complicated nature of the generalized form of the mathematical equation. Tripathi et al [48] investigated an issue by subjecting a circular plate to the research of axisymmetric temperature distribution. This was accomplished by applying traction-free boundary conditions and periodically varying the heat source that was considered to acquire the desired results.…”

Section: The Behaviour Of Thermoelasticity In a Circular Platementioning

confidence: 99%

Thermoelastic Analysis of Circular and Rectangular Objects with Moving Heat Source: A Review of Recent Literature

Hadke¹,

Warbhe²

2023

IJSREM

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The article investigates the present review of thermoelastic theories of circular and rectangular objects with moving heat sources published on paper after 1950. The main theme of thermoelastic problems on circular and rectangular structures is to establish operational methods to solve governing differential equations. In the thermoelastic problems, we have considered a few practical problems of technical interest, taking into account the circular and rectangular shape geometry with moving heat sources by using integral transform techniques. AMS Subject classifications: 35B07; 35G30; 35K05: 44A10 Keywords: circular and rectangular objects, temperature distribution, thermal stresses, integral transform.

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“…Youssef and Abbas (2014) considered fractional order thermal conductivity as a linear function of temperature in the perspective of fractional order generalized thermoelasticity. Tripathi, Deshmukh, and Verma (2017) studied the generalized thermoelasticity fractional order thermoelastic response due to a heat source that varies periodically with time with one relaxation time. Abbas (2018) studied the effect of fractional order 2-D GN-III model due to thermal shock for weak, normal and strong conductivity.…”

Section: Introductionmentioning

confidence: 99%

Thermomechanical interactions in transversely isotropic magneto-thermoelastic medium with fractional order generalized heat transfer and hall current

Lata

Kaur

2019

Arab Journal of Basic and Applied Sciences

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This investigation is focused on the study of thermomechanical interactions in homogeneous transversely isotropic magneto thermoelastic medium with fractional order heat transfer and hall current. As an application, the bounding surface is subjected to normal force with weak, normal and strong conductivity. Laplace and Fourier transform is used for solving field equations. The analytical expressions of temperature, displacement components, stress components, and current density components are computed in the transformed domain. The effects of hall current and fractional order parameters by varying different values are represented graphically. Some specific cases are also figured out from the current research.

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Fractional Order Generalized Thermoelastic Problem in a Thick Circular Plate with Periodically Varying Heat Source

Cited by 4 publications

References 21 publications

Thermoelastic Analysis For A Thick Plate Under The Radiation Boundary Conditions

Thermoelastic Analysis For A Thick Plate Under The Radiation Boundary Conditions

Thermoelastic Analysis of Circular and Rectangular Objects with Moving Heat Source: A Review of Recent Literature

Thermomechanical interactions in transversely isotropic magneto-thermoelastic medium with fractional order generalized heat transfer and hall current

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