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Course Unit Title Course Unit Code Type of Course Unit Level of Course Unit Year of Study Semester ECTS Credits
Numerical Mechanics MAT524 Elective Master's degree 1 Spring 8

Name of Lecturer(s)

Prof. Dr. Zahir MURADOĞLU

Learning Outcomes of the Course Unit

1) Explaining basic concepts about deformation theory.
2) Forming mathematical models of some problems.
3) Developing the exact solution methods of some problems which are connected with deformation theory.
4) Applying approximate solution methods of some problems which are about deformation theory.
5) Applying Finite Elements and Boundary Elements Methods to different mechanical problems.
6) Making numerical results which are obtained from approximate solution physically and mathematically.

Program Competencies-Learning Outcomes Relation

  Program Competencies
1 2 3 4 5 6 7
Learning Outcomes
1 No relation Middle Middle High Middle Middle Middle
2 Middle High High Middle High Middle Middle
3 High High Middle High Middle Middle Middle
4 High High High High Middle Middle Middle
5 High High High No relation No relation No relation No relation
6 High Middle High Middle Middle Middle Middle

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

Not Required

Course Contents

This course provides candidates with profound knowledge on Mathematical models of mechanical problems for one dimensional case, obtaining equilibrium equation of rod, Hooke Law, plane deformation, Lame equations for orthotropic materials., formulation of boundary value problems corresponding to mechanical problems and physical interpretation of bondary conditions, finite difference equations, integral-interpolation, approximation of integral and solution of mechanical problems by appliying finite element method.

Weekly Schedule

1) Mathematical model of mechanical problems for one dimensional case.
2) To obtain the equilibrium equation of rod.
3) Hooke Law.
4) Plane deformation.
5) Lame equations for orthotropic materials.
6) Formulation of boundary value problems corresponding to mechanical problems and physical interpretation of boundary conditions.
7) Finite difference equations.
8) Midterm.
9) Integral-Interpolation Method.
10) Approximation method of integral.
11) Finite elements method.
12) Application problems.
13) Application problems.
14) Application problems.
15) Application problems.
16) Application problems.

Recommended or Required Reading

1- L. M. Kachanov, "Fundamentals of the Theory of Plasticity" , Dover Publications, 2004
2- Timoshenko, Stephen P., "Mechanics of Materials", Published by CL Engineering, 2000
3- Singiresu S. Rao, "The Finite Element Method in Engineering", Elsevier, 2005
4- Endre Suli,"Lecture Notes on Finite Element Methods for Partial Differential Equations", University of Oxford, 2020.

Planned Learning Activities and Teaching Methods

1) Lecture
2) Question-Answer
3) Discussion
4) Modelling
5) Self Study
6) Problem Solving


Assessment Methods and Criteria

Contribution of Midterm Examination to Course Grade

40%

Contribution of Final Examination to Course Grade

60%

Total

100%

Language of Instruction

Turkish

Work Placement(s)

Not Required