高分子分子量、分子量分布与熔体指数（MI）关系的研究（Ⅰ）──熔体指数（MI）与分子量、分子量分布关系的理论模型及关联式

Study of Relationship between Polymer Molecular Weight, Molecular Weight Distribution and Melt index(Ⅰ)──Theoretical Model and Equation of Relationship between Melt Index and Molecular Weight, Molecular Weight Distribution

本文考察了有关零剪切速率下高聚物熔体粘度与分子量、分子量分布及星形支化结构之间关系，用应力张量，高分子链间缠结数目及分子量变化率之间的自相似变化模型理论，推导了一个普适方程，用来关联熔体指数（ＭＩ）与分子量（Ｍｗ），分子量分布（）及Ｍａｒｋ－Ｈｏｕｗｉｎｋ常数之间关系，为进一步研究和验证提供了理论依据。

In this study, the relationship between melt index, molecular weight,molecular weight distribution and star branch structure at zero shear rate was investigated from exprimental data. A general equation is deduced using selfsimiliar changing theoretical model between stress tensor, tangling number of polymer chains, and varition rate of molecular weight. This equation is usedto integrate the relationship between melt index(MI), molecular weight(Mw),molecular weight distribution (Mw/Mn) and mark-Houwink constant (a),and provides the theoretical basis for next research and test.