Information Package / Course Catalogue
Theory of Continous Media
Course Code: MME620
Course Type: Area Elective
Couse Group: Third Cycle (Doctorate Degree)
Education Language: English
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 8
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
1.1. be able to use tensor analysis both in Cartesian and curvilinear coordinate systems;
2.2. be able to apply and evaluate the most common stress, strain and deformation measures;
3.3. 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
4.4. describe the fundamental balance equations and conservation laws for a deformable body
5.5. be able to explain the fundamental results in the general theory of constitutive relations
Recommended or Required Reading
1.Nonlinear Theory of Continuous Media, A. Cemal Eringen
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 - Intermediate Exam
Analysis of Deformation in a Continuum, Midterm Exam
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
Week 15 - Final Exam
Final Exam
Week 16 - Final Exam
Final Exam
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%40
Final Examination1%60
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory143498
Assignment70535
Individual Work73342
Midterm Examination19312
Final Examination112315
TOTAL WORKLOAD (hours)202
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
PÇ-14
OÇ-1
3
4
5
5
4
3
3
4
5
5
4
3
4
5
OÇ-2
5
4
3
3
4
5
5
4
3
3
4
5
5
4
OÇ-3
3
4
5
5
4
3
5
4
5
4
3
5
4
3
OÇ-4
3
4
5
5
4
3
3
4
5
5
4
3
4
5
OÇ-5
3
4
5
5
4
3
4
5
5
4
3
5
4
3
Adnan Menderes University - Information Package / Course Catalogue
2026