Physical based parameter of statistical strength distributions

Abstract

The aim of the work was the search for criteria that characterize the statistical properties of materials and are related to their mechanical properties, fracture mechanisms, and loading conditions. The statistical distributions of microhardness of mild steel under tension measured at different distances from the fracture surface of the specimen were obtained, and the relationships between the slope parameter of cumulative distributions and non-destructive testing parameters were established. It was shown that the cumulative distributions of fatigue life, taken from the literature, can also be described by an exponential functions, and the slope exponent is related to the level of stress amplitude, also being sensitive parameter to change in fracture mechanism.