Young’s Modulus of Single Crystalline Iron and Elastic Stiffness
Setsuo Takaki, Takuro Masumura, Toshihiro Tsuchiyama
Abstract
Elastic stiffness c11, c12 and c44 are key parameters in the analysis of elastic deformation behaviors. In order to determine the values of these parameters, Young’s modulus of single crystal; E100, E110 and E111 are needed as well as Young’ modulus Ep and Poisson’s ratio ν in poly-crystal. In this paper, the values of Young’s modulus in single crystalline iron are summarized and then elastic stiffness was estimated for pure iron under the conditions; Ep=208.2 GPa and ν=0.291 that are reliable values for isotropic poly-crystalline iron. As a result, it is found that Young’s modulus of single crystalline iron should be as follows: E100=127.8 GPa, E110=214.3 GPa, E111=276.6 GPa. From these values, elastic stiffness of iron is calculated at c11=228.1 GPa, c12=135.0 GPa, c44=113.2 GPa. Diffraction Young’s modulus of iron can be estimated on the basis of Kröner model by applying the values of elastic stiffness. It is also confirmed that the average value of diffraction Young’s modulus agrees with the value of Young’s modulus Ep (208.2 GPa) of ideal poly-crystalline iron.