### 2019　Continuum Mechanics

Font size  SML

Undergraduate major in Systems and Control Engineering
Instructor(s)
Amaya Kenji  Miyazaki Yusuke
Course component(s)
Lecture
Day/Period(Room No.)
Mon3-4(W611)  Thr3-4(W611)
Group
-
Course number
SCE.M301
Credits
2
2019
Offered quarter
1Q
Syllabus updated
2019/3/18
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

 Intercultural skills Communication skills ✔ Specialist 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) Exercises to analyze 1D elastic wave propagation in solids
Class 9 Elastic wave propagation (2D) Exercises to analyze 2D elastic wave propagation in solids
Class 10 Fundamentals of potential theory Exercise to understand the fundamentals of potential theory
Class 11 irrotational flow, expression of vortex Exercise to understand irrotational flow and expression of vortex
Class 12 Application of potential theory Exercise to explain applications of potential theory
Class 13 Effect of visocosity Exercise to explain effect of viscosity.
Class 14 Navier-Stokes equations Exercise to understand Navier-Stokes equations
Class 15 Analysis of flow fields Exercise for analysis of flow fields

### 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.