1998 Volume 47 Issue 2 Pages 197-203
Applying an Eshelby's approach and wellknown 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.