# 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 Ph.D. 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 Gains the ability to understand and apply knowledge in the fields of mathematics, science and basic sciences at the level of expertise.
2 Gains the ability to access wide and deep knowledge in the field of Engineering by doing scientific research with current techniques and methods, evaluate, interpret and implement the gained knowledge.
3 Being aware of the latest developments his/her field of study, defines problems, formulates and develops new and/or original ideas and methods in solutions.
4 Designs and applies theoretical, experimental, and model-based research, analyzes and interprets the results obtained at the level of expertise.
5 Gains the ability to use the applications, techniques, modern tools and equipment in his/her field of study at the level of expertise.
6 Designs, executes and finalizes an original work process independently.
7 Can work in interdisciplinary and interdisciplinary teams, lead teams, use the information of different disciplines together and develop solution approaches.
8 Pays regard to scientific, social and ethical values in all professional activities and acquires responsibility consciousness at the level of expertise.
9 Contributes to the literature by communicating the processes and results of his/her academic studies in written form or orally in national and international academic environments, communicates effectively with communities and scientific staff working in the field of specialization.
10 Gains the skill of lifelong learning at the level of expertise.
11 Communicates verbally and in written form using a foreign language at least at the European Language Portfolio B2 General Level.
12 Recognizes the social, environmental, health, safety, legal aspects of engineering applications, as well as project management and business life practices, being aware of the limitations they place on engineering applications.

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