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現在位置: ホーム ja シラバス(2020年度) 工学研究科 分子工学専攻 分子レオロジー

分子レオロジー

JA | EN

科目ナンバリング
  • G-ENG14 7H428 LB61
開講年度・開講期 2020・前期
単位数 1.5 単位
授業形態 講義
配当学年 修士・博士
対象学生 大学院生
使用言語 日本語及び英語
曜時限 水3
教員
  • 渡辺 宏(化学研究所 教授)
  • 松宮 由実(化学研究所 准教授)
授業の概要・目的 An overview of the phenomenological aspect of rheology is presented first. Then, rheological features pf polymeric liquids and the underlying molecular dynamics are presented, and a method(s) of describing this dynamics is explained and discussed.
到達目標 To understand rheological phenomena in general, and to understand a molecular aspect of polymer rheology.
授業計画と内容 An overview of the phenomenological aspect of rheology is presented first. Then, rheological features of polymeric liquids and the underlying molecular dynamics are presented, and a method(s) of describing this dynamics is explained and discussed.

To understand rheological phenomena in general, and to understand a molecular aspect of polymer rheology.

Basics of rheology(1.5 h)
flow/deformation/stress, viscosity, elastic modulus

Rheological behavior of materials(1.5 h)
classification of rheological responses of materials, viscoelasticity, non-Newtonian viscosity, plasticity

Viscoelastic relaxation(1.5 h x 2)
Boltzmann's superposition principle, relaxation function, relaxation time, transformation of viscoelastic functions, complex modulus

Temperature and viscoelasticity(1.5 h)
glass transition, time-temperature superposition, WLF relationship

Molecular expression of stress of polymers(1.5h x 2)
stress expression, entropic tension, free energy, conformational distribution function

Rouse/Zimm bead-spring model(1.5 h)
time evolution equation of bead-spring model, calculation of stress and relaxation modulus, features of viscoelastic relaxation of bead-spring model

Tube model(1.5 h x 2)
time evolution equation of tube model, calculation of stress and relaxation modulus, features of viscoelastic relaxation of tube model, differences from bead-spring model

Feedback and check of understanding(1.5 h)
Feedback through report, etc, and check of understanding of rheology
成績評価の方法・観点 mainly through reports
履修要件 Basics of differential equations and polymer physics
授業外学習(予習・復習)等 Molecular description of polymer rheology requires formulation of time evolution equations for polymer conformation. Knowledge of differential equations used in this formation is strongly desired.
教科書
  • original files distributed at the class
参考書等
  • 高分子の構造と物性, 松下裕秀編, (講談社),
  • 高分子物理・相転移ダイナミクス, 土井正雄・小貫明著, (岩波),
  • The Theory of Polymer Dynamics, M Doi & S F Edwards, (Oxford Press),
  • Networks: Dynamics and Rheology Garland Science, W Graessley, Polymeric Liquids &amp,