ECTS - Theory of Continuous Media
Theory of Continuous Media (MFGE509) Course Detail
| Course Name | Course Code | Season | Lecture Hours | Application Hours | Lab Hours | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| Theory of Continuous Media | MFGE509 | Area Elective | 3 | 0 | 0 | 3 | 5 |
| Pre-requisite Course(s) |
|---|
| N/A |
| Course Language | English |
|---|---|
| Course Type | Elective Courses |
| Course Level | Natural & Applied Sciences Master's Degree |
| Mode of Delivery | Face To Face |
| Learning and Teaching Strategies | Lecture, Question and Answer, Drill and Practice. |
| Course Lecturer(s) |
|
| Course Objectives | This course aims to give the students the basic principles of mechanics and the mathematical backround needed to understand these principles . The course prepares the students for more advanced courses such as elasticity, plasticity, viscoelasticity, biomechanics. |
| Course Learning Outcomes |
The students who succeeded in this course;
|
| Course Content | Introduction, vector and tensor algebra and integral identities; stress vector and stress components, principal stresses and directions, rate-of-deformation tensor, spin tensor, Eulerian and Lagrangian formulations, rotation and stretch tensors, compatibility conditions, conservation of mass, linear momentum, angular momentum, first law of thermody |
Weekly Subjects and Releated Preparation Studies
| Week | Subjects | Preparation |
|---|---|---|
| 1 | Indicial notation, Matrix operations by using indicial notation, Coordinate transformation. | Chapter 1: Vectors and Tensors in Cartesian Coordinates. |
| 2 | Vector and tensor operations. Symmetric and antisymmetric tensors. | Chapter 1 |
| 3 | Principle stresses and principle directions of a second order tensor. | Chapter 1 |
| 4 | Derivatives of tensors. | Chapter 1 |
| 5 | Stress (traction) vector, Cauchy stress tensor, Spherical and deviatoric parts of stress tensor. | Chapter 2 |
| 6 | Material time derivative, Lagrangian and Eulerian descriptions, Rate of deformation and spin tensors, Deformation gradient. | Chapter 3: Deformation and Kinematics |
| 7 | Green and Cauchy deformation tensors, Strain tensor, Rate of deformation gradient, Rates of strain tensors. | Chapter 3 |
| 8 | Geometrical measures of strains, polar decomposition of deformation gradient tensor, rotation and stretch tensors, Volume change. | Chapter 3 |
| 9 | Time rate of an infinitesimal volume element, area change. | Chapter 3 |
| 10 | Piola-Kirchhoff stress tensors (first and second kinds). | Chapter 3 |
| 11 | Kütlenin korunumu. | Chapter 4: General principles |
| 12 | Momentum equations. | Chapter 4 |
| 13 | Energy equation (first law of thermodynamics). | Chapter 4 |
| 14 | Chapter 5: Some illustrative examples | Chapter 5 |
| 15 | Final exam period | All Chapters |
| 16 | Final exam period | All Chapters |
Sources
| Course Book | 1. Malvern L. E., Introduction to Mechanics of Continuous Media, Prentice-Hall, Englewood Cliffs, New Jersey (1969). |
|---|---|
| Other Sources | 2. Fung Y. C., A First Course in Continuum Mechanics, Prentice- Hall, Englewood Cliffs, New Jersey (1977). |
| 3. Chung T. J., Continuum Mechanics, Prentice- Hall, Englewood Cliffs, New Jersey (1988). |
Evaluation System
| Requirements | Number | Percentage of Grade |
|---|---|---|
| Attendance/Participation | - | - |
| Laboratory | - | - |
| Application | - | - |
| Field Work | - | - |
| Special Course Internship | - | - |
| Quizzes/Studio Critics | - | - |
| Homework Assignments | 6 | 30 |
| Presentation | - | - |
| Project | - | - |
| Report | - | - |
| Seminar | - | - |
| Midterms Exams/Midterms Jury | 1 | 30 |
| Final Exam/Final Jury | 1 | 40 |
| Toplam | 8 | 100 |
| Percentage of Semester Work | 60 |
|---|---|
| Percentage of Final Work | 40 |
| Total | 100 |
Course Category
| Core Courses | X |
|---|---|
| Major Area Courses | |
| Supportive Courses | |
| Media and Managment Skills Courses | |
| Transferable Skill Courses |
The Relation Between Course Learning Competencies and Program Qualifications
| # | Program Qualifications / Competencies | Level of Contribution | ||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | ||
| 1 | Gains the ability to apply advanced computational and/or manufacturing technology knowledge to solve manufacturing engineering problems. | X | ||||
| 2 | Develops the ability to analyze and define issues related to manufacturing technologies. | X | ||||
| 3 | Develops an approach for solving encountered engineering problems, and designs and conducts models and experiments. | X | ||||
| 4 | Designs and manufactures a comprehensive manufacturing system —including method, product, or device development— based on the creative application of fundamental engineering principles, under constraints of economic viability, environmental sustainability, and manufacturability. | X | ||||
| 5 | Selects and uses modern techniques and engineering tools for manufacturing engineering applications. | X | ||||
| 6 | Conducts scientific research in the field of manufacturing engineering and/or plans and carries out a project involving innovative manufacturing technologies. | X | ||||
| 7 | Effectively uses information technologies to collect and analyze data, think critically, interpret results, and make sound decisions. | X | ||||
| 8 | Works effectively as a member of multidisciplinary and intra-disciplinary teams or individually; demonstrates the confidence and organizational skills required. | X | ||||
| 9 | Communicates effectively in both spoken and written Turkish and English. | X | ||||
| 10 | Engages in lifelong learning, accesses information, keeps up with the latest developments in science and technology, and continuously renews oneself. | X | ||||
| 11 | Demonstrates awareness and a sense of responsibility regarding professional, legal, ethical, occupational safety, and social issues in the field of Manufacturing Engineering. | X | ||||
| 12 | Effectively utilizes resources (personnel, equipment, costs) to enhance national competitiveness and improve manufacturing industry productivity; conducts solution-oriented project and risk management; and demonstrates awareness of entrepreneurship, innovation, and sustainable development. | X | ||||
| 13 | Gathers knowledge about the health, environmental, social, and legal impacts of engineering practices at both global and local levels when making decisions. | X | ||||
ECTS/Workload Table
| Activities | Number | Duration (Hours) | Total Workload |
|---|---|---|---|
| Course Hours (Including Exam Week: 16 x Total Hours) | |||
| Laboratory | |||
| Application | |||
| Special Course Internship | |||
| Field Work | |||
| Study Hours Out of Class | 16 | 2 | 32 |
| Presentation/Seminar Prepration | |||
| Project | |||
| Report | |||
| Homework Assignments | |||
| Quizzes/Studio Critics | |||
| Prepration of Midterm Exams/Midterm Jury | |||
| Prepration of Final Exams/Final Jury | 1 | 14 | 14 |
| Total Workload | 46 | ||