A Probabilistic Treatise of Rupture of Brittle Rotating Disks

Recently, the circumferential velocity of a grinding wheel is increasingly rapid, and it is necessary to study the rupture strength of a brittle rotating disk by using the probability theory. In this report, first, Weibull's multiaxial distribution function is applied to considering both inner and surface cracks at the same time. Then, using a new distribution function, the expected value of the rupture strength of a rotating disk is analysed. Comparing with the experimental results of the graphite rotating disks, the newly introduced distribution function is found more precise than the old Weibull's one.