The indirect measurement of tensile strength by the new model FGMC (1, n)

The relationship between the tensile strength and Brinell hardness number of material is very intense, but a definite explicit or implicit function of them does not exist. The mechanical property of a material is a grey system because it will vary with the chemical ingredients and the procedures of heat treatment. Measuring the tensile strength is more difficult than the Brinell hardness number of a material especially for a higher temperature.The effectiveness of the first pair of original data by GMC (1, n) is researched in this paper. The results show that the modeling values and forecasts are independent of the first pair of original data. The grey prediction model presented in this paper is called the First-pair-of-data GMC (1, n), abbreviated as FGMC (1, n), which is based on GMC (1, n) but modeled with data including the messages from the first pair of original data. The accuracy of the indirect measurement of the tensile strength by FGMC (1, n) is satisfactory.

► FGMC (1, n) can extract the messages from the first pair of original data.
► FGMC (1, n) can also be an improved model of the traditional GM (1, n).
► FGMC (1, n) is still valid even though the conventional linear relationship exists.