%0 Journal Article %T Rheological Behaviour for Polymer Melts and Concentrated Solutions Part Ⅱ: Material Function with Nagai Chain Constraints and Determination of Their Parameters from Flow Curves %J 材料科学技术学报 %D 1995 %I %X An integral constitutive equation and a set of material functions for describing the strain history of polymer melts were formulated in terms of the Cauchy-Green and Finger tensors. A simple memory function and the dependence of ηo and τt on M3.4 were derived from the theory of non-linear viscoelasticity with constraints of entanglements for polymer melts and substituted into the Oldroye-Walters-Fredickson constitutive equation. An integral constitutive equation for polymer melts was consequently obtained. Some material functions of the constitutive equation related to certain "test flow" are examined as follows : (1) simple steady shear flow; (2) steady elongation flow; (3) small-amplitude oscillatory shear flow; (4) stress growth upon the inception of steady shear elongation flow; (5) stress relaxation (modulus and compllance). These theoretical relations for simple steady shear flow were compared with experimental data from our laboratory and references for various polymer melts and concentrated solutions. A good agreement between the theory and experiment was achieved. %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=84529CA2B2E519AC&jid=324DC3CAB22330DB19158AE0A9B7BFA5&aid=8ED2DFCA41E2A9D4&yid=BBCD5003575B2B5F&vid=708DD6B15D2464E8&iid=0B39A22176CE99FB&sid=A8DE7703CC9E390F&eid=04445C1D2BDA24EE&journal_id=1005-0302&journal_name=材料科学技术学报&referenced_num=0&reference_num=0