%0 Journal Article %T GEOMETRIC MODEL AND APPLIED METHOD FOR THE CALCULATION OF GRAIN SIZE DISTRIBUTIONS %A ZHAO Xinbing Zhejiang University %A Hangzhou %A China LCKEK Institut fur Metallkunde und Metallphysik der RWTH Aachen %A Germany %J 金属学报(英文版) %D 1993 %I %X Most of the available methods for the calculation of the three dimensional(3D)grain size dis- tribution functions(SDF)are based on the S model and lead a grave systematical error.The origin is the basic supposition of spherical grains in the S model,which does not correspond with the feature of real grains.A new model called A model is developed based on the hypothe- sis of polvhedral grains.The probability functions of the A model and the method to calculate the 3D SDFs using the A model are given in the present paper.The theoretical analyses and experimental tests have demonstrated that the A model reduces the systematical error radical- ly.It is nearly as simple as the so far used S model,but gives much better results in repro- ducing of 3D SDFs from the measured ID or 2D SDFs. %K grain size %K grain size distribution %K stereology %K geometric model
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=AB188D3B70B071C57EB64E395D864ECE&jid=C19B08D052F5FD8445F4BB80A1A5D7BF&aid=96660234B41698273387E7B0B2B1A464&yid=D418FDC97F7C2EBA&vid=B31275AF3241DB2D&iid=CA4FD0336C81A37A&sid=D997634CFE9B6321&eid=286FB2D22CF8D013&journal_id=1006-7191&journal_name=金属学报(英文版)&referenced_num=0&reference_num=10