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School of Engineering
- Undergraduate major in Mechanical Engineering
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- 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
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School of Environment and Society
- Department of Architecture and Building Engineering
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- Graduate major in Technology and Innovation Management
- Common courses
- Liberal arts and basic science courses
- Academic unit or major
- Undergraduate major in Systems and Control Engineering
- Instructor(s)
- Amaya Kenji Miyazaki Yusuke
- Class Format
- Lecture (ZOOM)
- Media-enhanced courses
- Day/Period(Room No.)
- Mon3-4(W611) Thr3-4(W611)
- Group
- -
- Course number
- SCE.M301
- Credits
- 2
- Academic year
- 2020
- Offered quarter
- 1Q
- Syllabus updated
- 2020/9/18
- Lecture notes updated
- -
- Language used
- Japanese
- Access Index
-
Course description and aims
This course covers fundamentals of continuum mechanics. Continuum mechanics deals with the mechanics governing the deformation of both solid and fluid objects in nature. Topics of this course starts from mathematical preliminaries for analysis of continuum body such as configuration, vector and tensor analysis. Then, lectures cover fundamentals of strain, stress, constitutive equations, conservation of mass, momentum and energy to derive the governing equations of general continuous bodies. Next, lectures focuse on the analysis of the governing equation for both solid and fluid objects.
Student learning outcomes
At the end of this course, students will be able to:
1) explain the fundamental concept of continuum mechanics applied to both solid and fluid objects in nature.
2) have an understanding of the concepts of finite deformation of bodies, stress, strain, and constitutive equations.
Keywords
Continuum body, Solid mechanics, Fluid mechanics,Tensor analysis
Competencies that will be developed
| ✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | ✔ Practical and/or problem-solving skills |
Class flow
Towards the end of class, students are given exercise problems related to what is taught on that day to solve.
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | Introduction of continuum mechanics | Exercises to understand the mathematical preliminaries for analysis of continuum bodies |
| Class 2 | Strain | Exercises to understand the definitions of strain |
| Class 3 | Stress | Exercises to understand the definitions of stress |
| Class 4 | Constitutive equations | Exercises to understand the definitions of constitutive equations |
| Class 5 | Mass conservation, continuum equations, Newton's laws of motion | Exercises to understand laws of mass conservation, continuum equations, Newton's laws of motion |
| Class 6 | The principal of virtual work, law of the conservation of energy | Exercises to understand the principals of virtual work and law of the conservation of energy |
| Class 7 | Analysis of various stress field in solids | Exercises to analyze various stress field in solids |
| Class 8 | Elastic wave propagation (1D,2D) | Exercises to analyze 1D and 2D elastic wave propagation in solids |
| Class 9 | Mathematical modeling of physical phenomena in the field and vector analysis | Understanding of Mathematical modeling of physical phenomena in the field and vector analysis |
| Class 10 | Equation of continuity and equation of conservation of momentum | Understanding of Equation of continuity and equation of conservation of momentum |
| Class 11 | Constitutive equations, basic equations of fluid dynamics | Learn about constitutive equations and basic equations of fluid dynamics strain rates, perfect fluids, Newtonian fluids |
| Class 12 | Navier-Stokes equations | Exercise to understand Navier-Stokes equations |
| Class 13 | Analysis of simple flow | Learn about simple flows Poiseuille flow, Couette flow, Potential flow, and so on |
| Class 14 | Final exam or explanation of the assignment | Final exam or explanation of the assignment |
Out-of-Class Study Time (Preparation and Review)
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
Textbook(s)
Text book specified by the instructor.
Reference books, course materials, etc.
Course materials are provided during class.
Assessment criteria and methods
Students will be assessed on their understanding of continuum mechanics, solid mechanics and fluid mechanics. Students course scores are based on exams(80%) and exercise problems.
Related courses
- SCE.M304 ： Computational Mechanics
- SCE.A504 ： Advanced course of Computational Mechanics
Prerequisites (i.e., required knowledge, skills, courses, etc.)
No prerequisites.
