AN ADDENDUM TO “A NUMERICAL METHOD IN SOLVING A COUPLED THERMOELASTICITY EQUATION AND SOME RESULTS”

1984 
Abstract This paper discusses a numerical analysis of the stress and the temperature fields generated in a hollow cylinder made of a material which has temperature dependent conductivity. A prototype of material ( Co-Cr-Ni alloy steel) which exhibits a wide variability of conductivity for a temperature range between 21° C and 926° C is chosen in developing the algorithm for computation. A step temperature is applied at the inner surface. With variable conductivity, as the temperature rises the conductivity increases. As a consequence, the heat flow in the cylinder is enhanced to cause the cylinder to reach a steady state temperature field sooner than the case in which the conductivity remains unchanged. Also, as the heat flow is enhanced, the thermal stresses decrease in the case of variable conductivity below the corresponding values in the case of constant conductivity.
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