# Theory of Continuous Media I (ME661) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
Theory of Continuous Media I ME661 3 0 0 3 5
Pre-requisite Course(s)
N/A
Course Language English N/A Natural & Applied Sciences Master's Degree Face To Face Lecture, Question and Answer. Review of tensor analysis and integral theorems. Indicial Notation, 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 and angular momentum, equations of motion, conservation of energy). First law of thermodynamics. The students who succeeded in this course; The students will have the ability to 1. Use indicial notation 2. Be familiar with linear vector spaces relevant to continuum mechanics and able to perform vector and tensor manipulations in Cartesian and curvilinear coordinate systems. 3. Be able to describe motion, deformation and forces in a continuum; 4. Be able to derive equations of motion and conservation laws for a continuum 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 a

### Weekly Subjects and Releated Preparation Studies

Week Subjects Preparation
1 Vector Algebra, Theory of Matrices
2 Vector Calculus, Tensors
3 Kinematics of Continua-Descriptions of Motion
4 Analysis of Deformation
5 Cauchy-Green Deformation Tensor, Infinitesimal Strain Tensor, Rotation Tensor Rate of Deformation and Vorticity Tensors
6 Cauchy Stress Tensor and Cauchy’s Formula, Transformation of Stress Components and Principal Stresses
7 Conservation of Mass
8 Conservation of Momenta
9 Thermodynamic Principles
10 Conservation of Energy
11 Special Cases of Energy Equations
12 Constitutive Equations-Elastic Solids
13 Transformation of Stress and Strain Components
14 Nonlinear Elastic Constitutive Relations

### Sources

Course Book 1. Reddy, Junuthula Narasimha. An introduction to continuum mechanics. Cambridge university press, 2013.

### Evaluation System

Attendance/Participation - -
Laboratory - -
Application - -
Field Work - -
Special Course Internship - -
Quizzes/Studio Critics - -
Homework Assignments 3 10
Presentation - -
Project 1 30
Report - -
Seminar - -
Midterms Exams/Midterms Jury 2 25
Final Exam/Final Jury 1 35
Toplam 7 100
Percentage of Semester Work 100 100

### Course Category

Core Courses X

### 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.

Activities Number Duration (Hours) Total Workload
Course Hours (Including Exam Week: 16 x Total Hours) 14 3 42
Laboratory
Application
Special Course Internship
Field Work
Study Hours Out of Class
Presentation/Seminar Prepration
Project
Report
Homework Assignments 3 6 18
Quizzes/Studio Critics
Prepration of Midterm Exams/Midterm Jury 2 16 32
Prepration of Final Exams/Final Jury 1 30 30