ECTS - Theory of Continuous Media I
Theory of Continuous Media I (MDES678) Course Detail
| Course Name | Course Code | Season | Lecture Hours | Application Hours | Lab Hours | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| Theory of Continuous Media I | MDES678 | 3 | 0 | 0 | 3 | 5 |
| Pre-requisite Course(s) |
|---|
| Consent of the instructor |
| Course Language | English |
|---|---|
| Course Type | N/A |
| Course Level | Ph.D. |
| Mode of Delivery | Face To Face |
| Learning and Teaching Strategies | Lecture. |
| 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 | Review of tensor analysis and integral theorems; kinematics of deformation, strain tensor, compatibility condition; material derivative, deformation rate, spin and vorticity tensor; external and internal loads, Cauchy?s principle and stress tensors; basic laws of continuum mechanics (conservation of mass, continuity equation, principle of linear an |
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 1 |
| 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 | Conservation of mass | 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 | Overall review | - |
| 16 | Final exam | - |
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 | Ability to carry out advanced research activities, both individual and as a member of a team | X | ||||
| 2 | Ability to evaluate research topics and comment with scientific reasoning | X | ||||
| 3 | Ability to initiate and create new methodologies, implement them on novel research areas and topics | X | ||||
| 4 | Ability to produce experimental and/or analytical data in systematic manner, discuss and evaluate data to lead scintific conclusions | X | ||||
| 5 | Ability to apply scientific philosophy on analysis, modelling and design of engineering systems | X | ||||
| 6 | Ability to synthesis available knowledge on his/her domain to initiate, to carry, complete and present novel research at international level | X | ||||
| 7 | Contribute scientific and technological advancements on engineering domain of his/her interest area | X | ||||
| 8 | Contribute industrial and scientific advancements to improve the society through research activities | X | ||||
ECTS/Workload Table
| Activities | Number | Duration (Hours) | Total Workload |
|---|---|---|---|
| Course Hours (Including Exam Week: 16 x Total Hours) | 16 | 4 | 64 |
| Laboratory | |||
| Application | |||
| Special Course Internship | |||
| Field Work | |||
| Study Hours Out of Class | 16 | 2 | 32 |
| Presentation/Seminar Prepration | |||
| Project | |||
| Report | |||
| Homework Assignments | 6 | 3 | 18 |
| Quizzes/Studio Critics | |||
| Prepration of Midterm Exams/Midterm Jury | 1 | 8 | 8 |
| Prepration of Final Exams/Final Jury | 1 | 10 | 10 |
| Total Workload | 132 | ||