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高分子熔体的各向异性内部结构流变模型

ANISOTROPIC RHEOLOGICAL MODEL WITH INTERNAL MICROSTRUCTURE FOR POLYMER MELTS

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【作者】 周持兴A.Ait-Kadi

【Author】 Zhou Chixing (The State Key Laboratory of Polymer Material Engineering, Polymeric Materials Research Institute, Shanghai Jiaotong University, Shanghai) A. Ait Kadi (Chemical Engineering Department , Laval University, Canada)

【机构】 高分子材料工程国家重点实验室上海交通大学高分子材料研究所

【摘要】 提出了一个高分子熔体内部结构流变模型,采用大分子构象张量表述,并结合经典弹性力学与大分子动力学求得自由能各向异性唯象表达式,运用Hamiltonian/PoisonBracket方法从自由能函数和耗散张量推导建立了高分子构象张量动力学方程与相应的应力张量表达式。LDPE和PS在简单剪切流场中的粘弹特性的模拟结果与实验数据进行了分析对比,两者基本相符。本文还预测和讨论了上述流体大分子构象的变化过程以及各向异性参数的作用。

【Abstract】 An internal strain tensor was adopted to represent the conformation structures for polymer melts. A phenomenlogical anisotropic expression for free energy was derived from both classical theory of elasticity and polymer kinetic theory. The time evolution equation of the conformation tensor and the expression of stress tensor were obtained using Hamiltonian Possion Bracket formulation. The predictions from the model for PS and LDPE melts were compared with experimental data. Good agreements are obtained for viscosity and some deviation existed for first normal stress coefficient. The time dependent conformation tensor components and the function of anisotropic parameters were also discussed.

【基金】 国家自然科学基金
  • 【文献出处】 高分子材料科学与工程 ,POLYMERIC MATERIALS SCIENCE & CNGINEERING , 编辑部邮箱 ,1997年05期
  • 【分类号】O631.1
  • 【被引频次】9
  • 【下载频次】254
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