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 |
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Theory of Continuous Media I | MDES678 | 3 | 0 | 0 | 3 | 5 |
Pre-requisite Course(s) |
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Consent of the instructor |
Course Language | English |
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Course Type | N/A |
Course Level | Natural & Applied Sciences Master's Degree |
Mode of Delivery | Face To Face |
Learning and Teaching Strategies | Lecture. |
Course Lecturer(s) |
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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;
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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 |
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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) |
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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 |
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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 |
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Percentage of Final Work | 40 |
Total | 100 |
Course Category
Core Courses | X |
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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 expand and get in-depth information with scientific researches in the field of mechanical engineering, evaluate information, review and implement. | |||||
2 | Have comprehensive knowledge about current techniques and methods and their limitations in Mechanical engineering. | |||||
3 | To complete and apply knowledge by using scientific methods using uncertain, limited or incomplete data; use information from different disciplines. | |||||
4 | Being aware of the new and developing practices of Mechanical Engineering and being able to examine and learn when needed. | |||||
5 | Ability to define and formulate problems related to Mechanical Engineering and develop methods for solving and apply innovative methods in solutions. | |||||
6 | Ability to develop new and/or original ideas and methods; design complex systems or processes and develop innovative/alternative solutions in the designs. | |||||
7 | Ability to design and apply theoretical, experimental and modeling based researches; analyze and solve complex problems encountered in this process. | |||||
8 | Work effectively in disciplinary and multi-disciplinary teams, lead leadership in such teams and develop solution approaches in complex situations; work independently and take responsibility. | |||||
9 | To establish oral and written communication by using a foreign language at least at the level of European Language Portfolio B2 General Level. | |||||
10 | Ability to convey the process and results of their studies systematically and clearly in written and oral form in national and international environments. | |||||
11 | To know the social, environmental, health, security, law dimensions, project management and business life applications of engineering applications and to be aware of the constraints of their engineering applications. | |||||
12 | Ability to observe social, scientific and ethical values in the stages of data collection, interpretation and announcement and in all professional activities. |
ECTS/Workload Table
Activities | Number | Duration (Hours) | Total Workload |
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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 |