Journal of Thermal Stresses · 2008 · 12 citations · 1 references
EngineeringMechanical EngineeringComputational Heat TransferHeat TransferThermal AnalysisHeat ConductionHeat Transfer AnalysisHeat Transfer FundamentalsHeat Transfer ModelingInternal Heat GenerationThermal StressesGeneral Heat Conduction EquationHeat Conduction EquationHeat Conduction With Internal Heat GenerationHeat EquationHeat GenerationNumerical Thermal ModelsThermal Stress AnalysisThermomechanical Stress Analysis
The present paper deals with the determination of displacement and thermal stresses in a thin hollow circular disk defined by a ≤ r ≤ b due to internal heat generation within it. Time dependent heat flux Q(t) is applied at the outer circular boundary (r = b), whereas inner circular boundary (r = a) is at zero heat flux. Also, initially the circular disk is at arbitrary temperature F(r). The governing heat conduction equation has been solved by the method of integral transform technique. The radial stress function σrr is zero at inner and outer circular boundaries (r = a and r = b). The results are obtained in a series form in terms of Bessel's functions. The results for displacement and stresses have been computed numerically and illustrated graphically.
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