Abstract
In this work, a new distribution function for fracture strength based on the multi-modal Weibull distribution function has been suggested in order to estimate the fracture behavior of brittle materials with ground surface. Furthermore, a new estimating method called “2-step estimation” for estimating the Weibull parameters accurately has been developed. The bending tests of alumina ceramics ground by a diamond wheel have been carried out and the following results were obtained.(1) The fracture origins of alumina specimens with ground surface were controlled by the competition between the pre-existing cracks and the machining induced scratch cracks.(2) The distribution function formulated in this work can explain the anisotropy of the bending strength of alumina specimens with ground surface fairly well.(3) The bending strength of alumina specimens used in this experiment was proportional to -1/2 power of the abrasive diameter in the region larger than 40μm.
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