Mechanics of Continua
Civil Engineering
Institute of Natural and Applied Sciences
Third Cycle (Doctorate Degree)
| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Mechanics of Continua | INS616 | Elective | Doctorate degree | 1 | Spring | 8 |
Name of Lecturer(s)
Prof. Dr. Safa Bozkurt COŞKUN
Associate Prof. Dr. Fuat OKAY
Learning Outcomes of the Course Unit
1) To be able to define vectors and tensors.
2) To know vector and tensor calculus.
3) To describe motion and to be able to analyze deformation.
4) To be able to define stress via stress tensors, to calculate principal stresses, to transform stress components.
5) To know and apply conservation of mass, momenta and energy.
6) To know constitutive equations for elastic solids and fluids.
7) To solve linearized elasticity problems in continua.
8) To solve fluid mechanics problems in continua.
9) To know linear viscoelastic models.
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | ||
| Learning Outcomes | ||||||||||
| 1 | Middle | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 2 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 3 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 4 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 5 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 6 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 7 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 8 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 9 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Applications of Theory of Elasticity in Civil Engineering
Course Contents
Vectors and tensors, Kinematics of continua, Stress, Conservation of mass, momenta and energy, Constitutive equations, Linearized elasticity problems, Fluid Mechanics and heat transfer problems, Linear viscoelasticity.
Weekly Schedule
1) Coordinates, Base Vectors, Deformation Gradiants and Deformation Tensors2) Strain Tensor and Deformation Vector, Infinitesimal Strain and Rotation
3) Length and Angle Changes, Geometric Meaning of Strains and Rotations
4) Transformations of Strains and Rotations under RigidMotion of Rectangular Frame
5) Strain Invariants and Principal Directions
6) Rotation, Area and Volume Changes, Some Simple Examples of Strain
7) Compatibility Conditions
8) Mid-term Exam
9) Motion, Time Rates of Vectors, Velocity and Acceleration, Path Lines, Stream Lines
10) Material Derivative of The Element of Arch, Surface and Volume, Kinematics of Line, Surface and Volume Integrals
11) Şekil Değiştirme Hızı, Spin, Vorticity, Strain Rate, Mass, Momentum, Moment of Momentum, Energy
12) Fundamental Axioms of Mechanics, Objective Tensors
13) External and Internal Loads, Stress Hypothesis, Stress Tensor
14) Principal of Balance of Local Momenta, Jump Conditions at a Moving Discontinuity Surface
15) Stress Quadric of Cauchy, Equation of Motion in the Material Coordinates, Stress Flux
16) Final Exam
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
1) Lecture
2) Question-Answer
3) Discussion
4) Drill and Practice
5) Self Study
6) Problem Solving
Assessment Methods and Criteria
Contribution of Midterm Examination to Course Grade |
50% |
|---|---|
Contribution of Final Examination to Course Grade |
50% |
Total |
100% |
Language of Instruction
Turkish
Work Placement(s)
Not Required