Analytical evaluation of heat capacities of structural stainless steels by using n-dimensional integer and noninteger Debye functions

A new analytical approximation to the evaluation of temperature dependence of heat capacity of some alloy steels has been presented in this study. This method is based on the Debye approximation for the heat capacity of solids. The proposed analytical method is general and can be applied to the various alloy steels. As an application of method the calculations have been performed for Fe-18Cr-12Ni-2Mo and Fe-18Cr-16Ni-10Mn stainless steels. It is seen from the comparisons of our results with other studies that our approach is accurate.