Availability of gamma distribution as initial distribution of flaw size

Abstract

To demonstrate availability of gamma distribution as the initial distribution of flaw size, three kinds of initial flaw size data of alumina ceramics were employed. Compared with a power function, gamma distribution was better fit to the data in every case. For practical use, an approximate expression of the initial distribution of flaw size was proposed by taking out a major part of the gamma distribution relating to the shape parameter. Finally, a positive correlation between the average fracture strength of the alumina ceramics and the shape parameter of the gamma distribution was discussed.