Abstract:

The approximate function is introduced to mathematic al modeling about a test-part with a hole. Utilizing the concept of "fatigue turning point", the notion of "divisional mathematical modeling" is proposed and two kinds of models based on experiential transform and based on approximate function are given. Compared with the "three parameters" model, the proposed models are more accurate and adaptive. In particular, the latter is better on adaptation and has a certain prospect of application in engineering.

Key words: appr ox imat e functio n, fatigue tur ning point, divisional mathematical modeling