# 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 Elective Courses 3 0 0 3 5
Pre-requisite Course(s)
N/A
Course Language English Elective Courses 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

Requirements Number Percentage of Grade
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 An ability to apply advanced knowledge in computational and/or manufacturing technologies to solve manufacturing engineering problems .
2 An ability to define and analyze issues related with manufacturing technologies.
3 An ability to develop a solution based approach and a model for an engineering problem and design and manage an experiment.
4 An ability to design a comprehensive manufacturing system based on creative utilization of fundamental engineering principles while fulfilling sustainability in environment and manufacturability and economic constraints.
5 An ability to chose and use modern technologies and engineering tools for manufacturing engineering applications.
6 Ability to perform scientific research and/or carry out innovative projects that are within the scope of manufacturing engineering.
7 An ability to utilize information technologies efficiently to acquire datum and analyze critically, articulate the outcome and make decision accordingly.
8 An ability to attain self-confidence and necessary organizational work skills to participate in multi-diciplinary and interdiciplinary teams as well as act individually.
9 An ability to attain efficient communication skills in Turkish and English both verbally and orally.
10 An ability to reach knowledge and to attain life-long learning and self-improvement skills, to follow recent advances in science and technology.
11 An awareness and responsibility about professional, legal, ethical and social issues in manufacturing engineering.
12 An awareness about solution focused project and risk management, enterpreneurship, innovative and sustainable development.
13 An understanding on the effects of engineering applications on health, social and legal aspects at universal and local level during decision making process.

### ECTS/Workload Table

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
Total Workload 122