Investigation of the static thermoelastic state of a thermosensitive hollow cylinder under convective-radiant heat exchange with environment

Popovych, V. S.; Vovk, O. M.; Harmatii, H. Yu.

doi:10.1007/s10958-012-1097-4

Cited by 7 publications

(1 citation statement)

References 6 publications

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“…Thermosensitive bodies are those homogeneous or piecewisehomogeneous bodies whose thermo-physical characteristics are temperature dependent. Popovich et al [7,8,9,10,11,12] studied numerical-analytical solutions of various thermoelastic problems with non-steady heatconduction in homogeneous thermosensitive bodies. All these bodies were subjected to prescribed temperature or heat flux on the boundaries which were completely linearized by using the Kirchhoff variable transformation technique.…”

Section: Introductionmentioning

confidence: 99%

Thermosensitive Response of a Functionally Graded Cylinder with Fractional Order Derivative

Lamba¹

2022

International Journal of Applied Mechanics and Engineering

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The present paper deals with thermal behaviour analysis of an axisymmetric functionally graded thermosensitive hollow cylinder. The system of coordinates are expressed in cylindrical-polar form. The heat conduction equation is of time-fractional order 0 < α ≤ 2, subjected to the effect of internal heat generation. Convective boundary conditions are applied to inner and outer curved surfaces whereas heat dissipates following Newton’s law of cooling. The lower surface is subjected to heat flux, whereas the upper surface is thermally insulated. Kirchhoff’s transformation is used to remove the nonlinearity of the heat equation and further it is solved to find temperature and associated stresses by applying integral transformation method. For numerical analysis a ceramic-metal-based functionally graded material is considered and the obtained results of temperature distribution and associated stresses are presented graphically.

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Section: Introductionmentioning

confidence: 99%

Thermosensitive Response of a Functionally Graded Cylinder with Fractional Order Derivative

Lamba¹

2022

International Journal of Applied Mechanics and Engineering

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Nonstationary Thermoelastic Problem for a Multilayer Coating/Half-Space Assembly at Radiative and Convective Loading

Shevchuk

2023

Advanced Structured Materials

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Thermoelastic State of a Thermosensitive Half Space and a Thermosensitive Layer in Contact Under the Conditions of Complex Heat Exchange

Vovk

Solyar

2023

J Math Sci

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Investigation of the static thermoelastic state of a thermosensitive hollow cylinder under convective-radiant heat exchange with environment

Cited by 7 publications

References 6 publications

Thermosensitive Response of a Functionally Graded Cylinder with Fractional Order Derivative

Thermosensitive Response of a Functionally Graded Cylinder with Fractional Order Derivative

Nonstationary Thermoelastic Problem for a Multilayer Coating/Half-Space Assembly at Radiative and Convective Loading

Thermoelastic State of a Thermosensitive Half Space and a Thermosensitive Layer in Contact Under the Conditions of Complex Heat Exchange

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