▶Japanese
Post to SNS
- School of Science
-
School of Engineering
- Undergraduate major in Mechanical Engineering
- Undergraduate major in Systems and Control Engineering
- Undergraduate major in Electrical and Electronic Engineering
- Undergraduate major in Information and Communications Engineering
- Undergraduate major in Industrial Engineering and Economics
- Common courses
- School of Materials and Chemical Technology
- School of Computing
- School of Life Science and Technology
- School of Environment and Society
- 工学院，物質理工学院，環境・社会理工学院共通科目
- Liberal arts and basic science courses
- First-Year Courses
- School of Science
- School of Engineering
- School of Materials and Chemical Technology
- School of Computing
- School of Life Science and Technology
-
School of Environment and Society
- Department of Architecture and Building Engineering
- Department of Civil and Environmental Engineering
- Department of Transdisciplinary Science and Engineering
- Department of Social and Human Sciences
- Department of Innovation Science
- Graduate major in Technology and Innovation Management
- Common courses
- Liberal arts and basic science courses
- Academic unit or major
- Undergraduate major in Chemical Science and Engineering
- Instructor(s)
- Tokita Masatoshi
- Class Format
- Lecture (Face-to-face)
- Media-enhanced courses
- Day/Period(Room No.)
- Mon3-4(W9-324(W933))
- Group
- -
- Course number
- CAP.Y302
- Credits
- 1
- Academic year
- 2023
- Offered quarter
- 1Q
- Syllabus updated
- 2023/3/20
- Lecture notes updated
- -
- Language used
- Japanese
- Access Index
-
Course description and aims
This course focuses on rheology of linear amorphous polymers. Topics include elasticity of a polymer chain, unentangled polymer dynamics, and entangled polymer dynamics.
Rheology is the science of the deformations and flowing of objects in gas, liquid, and solid states and mesophases between them. Rheology of polymers is vital in the field of polymer processing.
Student learning outcomes
At the end of this course, students will be able to
1) Explain viscoelasticity of polymers phenomenologically and in molecular theory (polymer structures).
2) Explain rubber elasticity in molecular theory (polymer structures) and thermodynamics.
3) Have an understanding of time-temperature superposition principle, and based on this, produce and explain master curves.
Keywords
viscoelasticity, rubber elasticity, reptation, Rouse model, time-temperature superposition principle, master curve
Competencies that will be developed
| ✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Class flow
Each class is devoted to letting students reach the required learning from fundamentals. To allow students to get a good understanding of the course contents and practical applications, problems related to the contents of this course are provided.
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | 1-1. Outline of this course; 1-2. Stress and strain | Calculate the modulus and viscosity from the stress and strain on uniaxial elongation or simple shear deformation. |
| Class 2 | 2-1. Entropy elasticity; 2-2. Rubber elasticity | Calculate the tension of rubber and the modulus of a polymer chain. Calculate the cross-linking density from the rubber modulus. |
| Class 3 | 3-1. Viscoelasticity (relaxation elasticity); 3-2. Viscoelasticity (dynamic elasticity) | Explain phenomenological theory on stress relaxation and creep using mechanical models. Calculate the storage and loss moduli on applying oscillating strain to a viscoelastic model. |
| Class 4 | 4-1. Measurement techniques and data processing; 4-2. Time-temperature superposition principle and the WLF equation | Explain the measurement techniques of polymer viscoelasticity. Understand the phenomenological theory on the time-temperature superposition principle. Explain the temperature dependence of relaxation time based on the free-volume theory and derive the Williams-Landel-Ferry equation. |
| Class 5 | 5-1. Feature of polymer viscoelasticity and the molecular approach; 5-2. Boltzmann superposition principle | Derive the relationships between relaxation modulus and viscosity and complex modulus from Boltzmann's superposition principle. |
| Class 6 | 6-1. Rouse model and tube model; 6-2. Understanding of master curves | Explain the frequency dependence of complex modulus in the glass transition and terminal flow regions based on the Rouse model. Explain the rubber plateau and molecular weight dependence of viscosity for entangled polymer melts based on the tube model. Estimate characteristic times from master curves to understand relaxation processes in polymer melts quantitatively. |
| Class 7 | 7-1. Exercises; 7-2. Explanation on the excercises | Confirm one's understanding of the lecture content by practicing comprehensive exercises. |
Out-of-Class Study Time (Preparation and Review)
For effective learning, students should review course content after each class, referring to the textbook and other course materials.
Textbook(s)
Lecture materials will be distributed. The lecture content corresponds best to the reference book " Kiso Kobunshi Kagaku (Introduction to Polymer Science) 2nd ed."
Reference books, course materials, etc.
The Society of Polymer Science, Japan, ed., Kiso Kobunshi Kagaku (Introduction to Polymer Science) 2nd ed., 2020, Tokyo: Tokyo Kagaku Dojin, ISBN :978-4-8079-0962-9 (Japanese)
M. Rubinstein and R. H. Colby, Polymer Physics, Oxford University Press, 2003. ISBN 0-19-852059-X
Assessment criteria and methods
Learning achievement evaluation is based on the answers to the comprehensive exercises in the seventh class and the exercises given in each class.
Related courses
- CAP.Y201 ： Polymer Chemistry Basics
- CAP.Y204 ： Polymer Physics I (Polymer Solutions)
- CAP.Y205 ： Polymer Physics II (Solid Structures)
- CAP.Y304 ： Polymer Physical Properties
- CAP.P352 ： Exercises in Polymer Science II
- CAP.P581 ： Advanced Polymer Processing
- CAP.P361 ： Polymer Chemistry Laboratory I
- CAP.P362 ： Polymer Chemistry Laboratory II
Prerequisites (i.e., required knowledge, skills, courses, etc.)
Students must have successfully completed Physical Chemistry (Thermodynamics)，Polymer Chemistry, Polymer Physics I, Polymer Physics II or have equivalent knowledge.
