Calculation of X-ray elastic constants of composite materials using Eshelby/Mori Tanaka model
Sasaki Toshihiko; Lin Zheng; Hirose Yukio
Abstract:Applying an Eshelby's approach and well known Mori Tanaka's theorem, the microscopic stress in a composite material which contains a finite concentration of inclusions was calculated from the elastic constants of the inclusion and matrix phases. The results were applied to derive basic equations useful for the method of X-ray stress measurement. Based on the theoretical results, some parameters which are important in the X-ray method were investigated, and their relations to the elastic constants of both the inclusion and the matrix were found. As a result, it became possible to calculate the X-ray elastic constants in a composite state (composite XEC) from the elastic constants of single crystal of each phase. An example of numerical simulation was performed for the case of a SiC particle reinforced Al matrix composite material. An experiment was also made and the results were compared with the theoretical estimation. Key Words:X-ray stress measurement, composition material, X-ray elastic constants, micromechanics, residual stress, experimental stress analysis