Information Package / Course Catalogue
Theory of Continous Media
Course Code: MCE522
Course Type: Area Elective
Couse Group: Second Cycle (Master's Degree)
Education Language: English
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 6
Objectives of the Course

The aim of this course is to enable graduate students to understand the fundamental law of physicsapplicable to a continuous medium and to develop the liner theory. This course will provide students with an introduction to Cartesian tensors, a study of stress at a point in a continuum, the analysis of deformation and kinetics, and the fundamental laws of mechanics.

Course Content

Vectors and Tensors in Cartesian Coordinates, Stress, Deformation and Kinematics,General Principles, Balance Equations.

Name of Lecturer(s)
Learning Outcomes
1.be able to understand essential background on continuum mechanics
2.be able to use tensor analysis both in Cartesian and curvilinear coordinate systems
3.be able to apply and evaluate the most common stress, strain and deformation measures
4.be able to explain and apply fundamental conception as the deformation gradient, displacement gradient, material and local time derivatives, rate of deformation and stress tensor
5.describe the fundamental balance equations and conservation laws for a deformable body
6.be able to explain the fundamental results in the general theory of constitutive relations
7.describe and apply the general equations for some kind of fluid and elastic bodies and be familiar with some advanced constitutive relations
8.Be able to solve simple boundary value problems for fluids and solids
9.gain mathematical and physical restrictions on material theories
10.understand scientific articles with continuum mechanical formulation
Recommended or Required Reading
1.J. N. Reddy, An Introduction to Continuum Mechanics, Cambridge University Press, the 1st edition, ISBN-10 –521-87044-5, ISBN-13 978-0521-87044-3.
2.Y. C. Fung, A First Course in Continuum Mechanics, Third Edition, Prentice-Hall, 1994, QA808.2 .F85 1994.
Weekly Detailed Course Contents
Week 1 - Theoretical
Introduction, Index Notation of a Vector
Week 2 - Theoretical
Vectors and Cartesian Tensors
Week 3 - Theoretical
Vectors and Cartesian Tensors
Week 4 - Theoretical
Vectors and Cartesian Tensors
Week 5 - Theoretical
Body Force and Surface Forces
Week 6 - Theoretical
Principal axes, invariants, Mohr’s circle
Week 7 - Theoretical
Analysis of Deformation in a Continuum
Week 8 - Theoretical
Analysis of Deformation in a Continuum
Week 9 - Theoretical
Eulerian Forrms of the Basic Physical Laws
Week 10 - Theoretical
Eulerian Forrms of the Basic Physical Laws
Week 11 - Theoretical
Eulerian Forrms of the Basic Physical Laws
Week 12 - Theoretical
Application to Solids
Week 13 - Theoretical
Application to Solids
Week 14 - Theoretical
Balance Equations
Assessment Methods and Criteria
Type of AssessmentCountPercent
Attending Lectures1%5
Assignment4%15
Midterm Examination2%40
Final Examination1%40
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory141356
Assignment40520
Midterm Examination220244
Final Examination127330
TOTAL WORKLOAD (hours)150
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
PÇ-12
PÇ-13
OÇ-1
3
3
3
3
4
3
4
3
3
4
3
3
3
OÇ-2
4
4
4
3
5
4
3
4
3
5
4
4
4
OÇ-3
3
3
5
5
5
4
3
5
5
5
4
3
3
OÇ-4
5
4
5
4
4
4
5
5
4
4
4
5
5
OÇ-5
4
3
4
4
3
4
5
5
4
4
4
5
5
OÇ-6
5
3
4
3
4
5
4
3
3
4
3
3
3
OÇ-7
4
4
4
4
4
3
3
4
3
5
4
4
4
OÇ-8
3
5
5
5
4
4
5
4
3
4
5
3
3
OÇ-9
4
4
5
3
5
4
4
3
5
3
5
4
4
OÇ-10
4
4
3
3
5
4
4
4
4
3
4
3
3
Adnan Menderes University - Information Package / Course Catalogue
2026