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Tytuł:
Thermosensitive response of a functionally graded cylinder with fractional order derivative
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Temat i słowa kluczowe:
time fractional ; thick hollow cylinder ; thermal stresses ; internal heat generation ; FGMs ; thermosenstive
Abstract:
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, 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.
Wydawca:
Zielona Góra: Uniwersytet Zielonogórski
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Źródło:
IJAME, volume 27, number 1 (2022)