J Mater Sci Technol ›› 2005, Vol. 21 ›› Issue (04): 521-525.

• Research Articles • Previous Articles     Next Articles

A New Curve Fitting Method for Forming Limit Experimental Data

Jieshi CHEN, Xianbin ZHOU   

  1. Sheet Metal Forming Research Center, Beihang University, Beijing 100083, China
  • Received:2004-09-01 Revised:2004-11-17 Online:2005-07-28 Published:2009-10-10
  • Contact: Jieshi CHEN

Abstract: The forming limit curve (FLC) can be obtained by means of curve fitting the limit strain points of different strain paths. The theory of percent regression analysis is applied to the curve fitting of forming limit experimental data. Forecast intervals of FLC percentiles can be calculated. Thus reliability and confidence level can be considered. The theoretical method to get the limits of limit strain points distributing region is presented, and the FLC position can be adjusted according to practical requirement. Method for establishing FLC with high reliability using small samples is presented at the same time. This method can make full use of the current experimental data and the previous data. Compared with the traditional method that can only use current experimental data, fewer specimens are required in the present method to obtain the same precision and the result is more accurate with the same number of specimens.

Key words: Forming limit curve, Regression analysis, Reliability analysis, Small samples method