Web Site of the Department

Head of Department : Çetin Yılmaz

Associate Department Heads: Cahit Can Aydıner, Evren Samur

Professors : Sabri Altıntaş† , Günay Anlaş, Kunt Atalık, Hasan Bedir, Nuri Ersoy, Hakan Ertürk, Haluk Örs, Şebnem Özüpek, Fazıl Önder Sönmez, Kaşif Teker, Akın Tezel†, Çetin Yılmaz

Associate Professors : Fatma Nazlı Dönmezer Akgün, Cahit Can Aydıner, Ali Ecder, Evren Samur, Murat Çelik

Assistant Professors : Sertan Alkan, Asghar Aryanfar, Osman Safa Çifçi, Mehmet Zahid Hamarat, Kerim Can Dansuk, İlyas İstif*, Sinan Öncü

†Professor Emeritus

*Part-time

•Adjunct

MASTER OF SCIENCE PROGRAM IN MECHANICAL ENGINEERING
(WITH THESIS)

Total Credits: 24
Total ECTS: 132

* ECTS and credit hours specified are the minimum required values.
** Students who have previously taken this course, or its equivalent, should take ME 502 Advanced Engineering Mathematics II , or if this course, or its equivalent, is also taken, an elective course approved by their advisor may also be taken.
*** Each student must have a declared Option; the available Options are:
Option A: Dynamics and Control
Option B: Fluid Mechanics
Option C: Materials and Manufacturing
Option D: Solids and Design
Option E: Thermal Sciences
The Core and Elective courses associated with each option are provided below. “Option Core” and “Option Elective” refer to the course set associated with the student’s declared Option.
**** “Restricted Elective”s must be selected from the Core courses associated with Options other than the student’s declared Option, and the two Restricted Elective courses must be chosen from two different options. The other option core courses can also be replaced by either ME502 Advanced Engineering Mathematics II (if ME501 is taken as the Math course) or ME503 Mechanics of Continua I as a substitute.
*****The Unrestricted Elective course may be chosen from among science and engineering graduate courses approved by advisor.

The M.S. program in Mechanical Engineering requires a minimum of 24 credits hours (8 courses) of course work, seminar course and a Master's thesis. One mathematics requirement, three core courses and one seminar requirement must be completed together with three (elective) courses from the selected option. The remaining can be chosen from any engineering or science graduate courses. Mathematics requirement is is fulfilled by taking:

ME 501 or ME 502 Advanced Engineering Mathematics I or II

Students who have previously taken one of these courses, or its equivalent, may instead take an elective course approved by their advisor.

Core course requirement can be fulfilled by taking one course from each core course sequence covering three of the five options as listed below:

In addition to the core courses requirement, students are required to complete a minimum of 9 credits in one of the five options indicated above. One course is to be the remaining core course of the chosen core sequence. Option courses are listed below for both the M.S. and Ph.D. programs.

In addition to the required and option courses, students are required take the non-credit seminar course: ME 579 Graduate Seminar.

DOCTOR OF PHILOSOPHY PROGRAM

The Ph.D. program in Mechanical Engineering includes a minimum of 25 credits of course work and dissertation carried out according to regulations of the Institute. The required courses for the program are:

ME 501 and ME 502 Advanced Engineering Mathematics I and II

Students who have previously taken one of these courses, or its equivalent, are required to take the second course. Those who have taken either one or both of these courses, or their equivalents may instead take elective courses approved by their advisor and the Institute.

Ph.D. students are required to identify a Major field which corresponds to one of the five Mechanical Engineering options listed above. Three courses for the Major field are chosen from among courses not taken in the M.S. program. Subject to the approval of the advisor, a Minor field consisting of a sequence of two courses is also determined. Students complete their course requirements with an elective course complementing their Ph.D. program.

PHD PROGRAM IN MECHANICAL ENGINEERING

Total Credits: 25
Total ECTS: 246

* ECTS and credit hours specified are the minimum required values.
** Both ME 501 Advanced Engineering Mathematics I  and  ME 502 Advanced Engineering Mathematics II must be completed to fulfill the mathematics requirement. Students who have previously completed one of these courses, or its equivalent, are required to complete the remaining course. Students who have previously completed either one or both of these courses, or their equivalents, may instead complete elective courses approved by their advisor.
*** Each student must have a declared Major Option and a declared Minor Option; the available Options are:
Option A: Dynamics and Control
Option B: Fluid Mechanics
Option C: Materials and Manufacturing
Option D: Solids and Design
Option E: Thermal Sciences

The Core and Elective courses associated with each option are provided below. “Major Option Course” and “Minor Option Course” refer to the course sets associated with the student’s declared Major and Minor Options, respectively.

OPTIONS IN MECHANICAL ENGINEERING and ASSOCIATED COURSE SETS

A. Dynamics and Control:

B. Fluid Mechanics:

C. Materials and Manufacturing:

D. Solids and Design:

E. Thermal Sciences:

In addition to the option courses listed above, 
ME 581-589 Special Topics courses,
ME 591-596 Special Studies courses,
ME 681-689 Special Topics courses,
ME 691-696 Special Studies courses and
ME 597,598, 697,698 Mechanical Engineering Seminars courses
may be considered as a member of the sets above, depending on the course content given in the particular semester.

COURSE DESCRIPTIONS

ME 501 Advanced Engineering Mathematics I (3+0+0) 3 ECTS 8
(İleri Mühendislik Matematiği I)
Systems of linear equations; linear vector spaces; theory of matrices and the eigenvalue problem; multivariable differential calculus; ordinary differential equations; vectors in R3; vector field theory, Fourier series and Fourier transform; Laplace transform; calculus of variations.

ME 502 Advanced Engineering Mathematics II (3+0+0) 3 ECTS 8
(İleri Mühendislik Matematiği II)
Partial differential equations; Laplace, diffusion, and wave equations; Bessel and Legendre functions; integral equations; functions of a complex variable; conformal mapping; complex integral calculus; series expansion and residue theorem.

ME 503 Mechanics of Continua I (4+0+0) 4 ECTS 8
(Sürekli Ortamlar Mekaniği I)
Vectors, matrix algebra, tensor analysis. Deformation and strain tensors. Length, angle, area and volume changes. Kinematics of motion, mass, momentum, moment of momentum, and energy. Fundamental axioms of mechanics. Stress; thermodynamics of continuous media. Constitutive equations; ideally elastic solids. Stokesian fluids.

ME 511 Principles of Materials Science and Engineering (3+0+0) 3 ECTS 8
(Malzeme Bilimi ve Mühendisliği Prensipleri)
Atomic bonding and crystal structure, imperfections in crystals, x-ray and electron diffraction, thermodynamics of crystals, kinetics, transport in materials, phase transformations, annealing processes, deformation and fracture of materials, examples of technological materials.

ME 512 Principles of Manufacturing Processes (3+0+0) 3 ECTS 8
(İmalat Süreçleri Esasları)
Fundamentals of production and processing of metallic, ceramic and polymeric materials. Manufacturing processes based on heating/cooling. Casting techniques. Near net shape processes. Principles of metal forming. Thermomechanical treatment. Surface modification.

ME 521 Engineering Design (3+0+0) 3 ECTS 8
(Mühendislik Tasarımı)
Nature and properties of materials; advanced topics of strength of materials; analysis of composite, honeycomb and reinforced materials; pressure vessel design; residual stresses, thermal stresses; failure theories, beyond the elastic range; buckling; shock; impact and inertia.

ME 523 Elasticity (3+0+0) 3 ECTS 8
(Elastisite)
Cartesian tensor notation. Analysis of strain, components and compatibility of strain. Analysis of stress; definitions and components of stress; equations of equilibrium. Constitutive equations, generalized Hook's law; governing equations of elasticity. Plane strain and plane stress; problems some examples of 2-D problems of elasticity. Energy principles. Sample problems of applied elasticity.

ME 530 Advanced Dynamics (3+0+0) 3 ECTS 8
(İleri Dinamik)
Kinematics of rigid body motion. Coordinate tranformaitons. Rigid body dynamics. Euler's equations of motion. Eulerian angles. Motion under no force. Lagrange equations and their first integrals. Hamilton's equations. Applications to mechanical engineering systems.

ME 537 State Space Control Theory (3+0+0) 3 ECTS 8
(Durum Uzayı Kontrol Kuramı)
State space representation of systems. Dynamic response from state equations. Stability, controllability and observability. Canonical form, control with state feedback. Pole placement. Observer based controllers. Reference input traking. Introduction to optimal control and Lyapunov stability. Example applications.

ME 551 Advanced Fluid Mechanics (3+0+0) 3 ECTS 8
(İleri Akışkanlar Mekaniği)
Dynamics of motion, constitutive equations. Incompressible flows; potential flows, wing theory; waves. Compressible flows; thermodynamics of flow; two dimensional potential flows, theory of small perturbations; shock waves. Viscous flows; some exact and approximate solutions of Navier-Stokes equations.

ME 560 Advanced Thermodynamics (3+0+0) 3 ECTS 8
(İleri Termodinamik)
Classical thermodynamics and their application to engineering systems and flow processes. Conservation of mass and energy; principle of increase of entropy. Fundamental thermodynamic relations; equilibrium conditions; irreversible thermodynamics. Introduction to statistical thermodynamics.

ME 561 Conduction Heat Transfer (3+0+0) 3 ECTS 8
(İletim ile Isı Transferi)
Steady and unsteady heat conduction involving various boundary conditions. Methods of formulation. Analytical solutions and approximate methods.

ME 579 Graduate Seminar (0+1+0) 0 Pass/Fail ECTS 2
(Lisansüstü Seminer)
Seminars offered by faculty, guest speakers and/or graduate students designed to widen students' perspectives on specific topics of interest and to expand their range of scientific research techniques and publication ethics.

ME 581, 582, 583, 584, 585, 586, 587, 588, 589 Special Topics (3+0+0) 3 ECTS 8
(Özel Konular)
Special topics of current interest in mechanical engineering selected to suit the individual interests of the students and faculty in the department. The course is designed to give the student of advanced level an opportunity to learn about the most recent advances in the field of mechanical engineering.

ME 591, 592, 593, 594, 595, 596 Special Studies (3+0+0) 3 ECTS 8
(Özel Çalışmalar)
Study of special subjects not covered in other courses at the graduate level.

ME 597, 598 Mechanical Engineering Seminars (1+0+0) 1 ECTS 8
(Makina Mühendisliği Seminerleri)
Subjects and speakers to be arranged.

ME 599 Guided Research (0+4+0) 0 Pass/Fail ECTS 8
(Yönlendirilmiş Çalışmalar)
Research in the field of Mechanical Engineering, supervised by faculty.

ME 602 Mechanics of Continua II (3+0+0) 3> ECTS 8
(Sürekli Ortamlar Mekaniği II)
Constitutive equations; thermomechanical materials, elastic materials. Stokesian fluids. Elasticity, fluid dynamics, thermoelasticity, visco-elasticity. Linear and nonlinear physical interactions in continuous media. Selected problems of practical importance in engineering disciplines.

ME 610 Finite Elements (3+0+0) 3ECTS 8
(Sonlu Elemanlar)
Strong and weak statements of boundary value problems. The concept of finite element discretization and finite interpolatory schemes. The isoparametric concept. Programming techniques for numerically integrated finite elements. Implemntation of finite element model and solution methods. Preprocessing and postprocessing. Time-stepping algorithms and their implementation approximation errors in the finite element method and error analysis.

ME 613 Deformation of Engineering Materials (3+0+0) 3 ECTS 8
(Mühendislik Malzemelerinin Şekil Değiştirmesi)
Fundamental of the mechanical behavior of materials. Elements of dislocation theory. Plastic deformation of crystalline materials. The relationship between microstructure and mechanical behavior at ambient and elevated temperatures.

ME 614 Materials Processing (3+0+0) 3ECTS 8
(Malzeme Üretimi)
Control of microstructure and alternation of material properties. Heat treatment of steel. Precipitation hardening. Shape memory alloys. Processing of electronic and magnetic materials. Processing of glasses. Powder metallurgy.

ME 615 High Temperature Materials (3+0+0) 3 ECTS 8
(Yüksek Sıcaklık Malzemeleri)
Design of alloys for high temperature service; strength, creep, fatigue, degradation. Microstructure and properties of superalloys; Fe-base superalloys, Ni-base superalloys, Co-base superalloys. Processing of superalloys; Melt processing, wrought processing, powder metallurgy, laser processing. Environmental degradation of superalloys; oxidation, hot corrosion, protective coatings. Other high temperature materials; Ti alloys, refractory metals, intermetallics, ceramics, composites.

ME 618 Mechanical Behavior of Materials (3+0+0) 3 ECTS 8
(Malzemelerin Mekanik Davranışı)
Treatment of elastic, plastic and creep deformation under steady and cyclic loads. Emphasis on approximate solutions which enable the prediction of service performance from simple tests. Failure due to fatigue, creep rupture and plastic instability. Treatment of fracture from engineering point of view.

ME 620 Fracture (3+0+0) 3 ECTS 8
(Kırılma)
Stress analysis of cracked members; applications of linear elastic fracture mechanics; experimental determination of fracture toughness; microstructural aspects of fracture toughness. Fracture prediction beyond linear elastic range: the transition temperature approach, crack opening displacement, J-integral. Fatigue crack initiation, propagation and stress corrosion cracking.

ME 622 Advanced Vibrations (3+0+0) 3 ECTS 8
(İleri Titreşimler)
Vibratory response of multi-degree-of-freedom systems, matrix formulation, concepts of impedance, frequency response, and complex mode shapes. Nonlinear vibrations, parametric resonance. Vibration of elastic bodies. Modal analysis.

ME 625 Optimum Structural Design (3+0+0) 3 ECTS 8
(En Iyi Yapısal Tasarım )
Basic concepts of design optimization: classical techniques in structural optimization (differential calculus, variational calculus, Lagrange multipliers); Karush-Kuhn-Tucker conditions. Application of linear and nonlinear programming to structural problems. Advanced topics in structural optimization.

ME 626 Mechanics of Composite Materials (3+0+0) 3 ECTS 8
(Kompozit Malzemelerin Mekaniği)
Types of composite materials; matrix materials, thermosets, thermoplastics, fiber materials. Effective moduli:rule of mixtures. Constitutive relation for anisotropic materials. Laminates: constitutive relations, transformation equations. Strength and failure criteria. Classical theory of laminated plates; governing relations, higher order theories, energy methods. Cylindrical bending and vibration of laminated plates.

ME 631 Engineering Analysis (3+0+0) 3
(Mühendislik Analizi)
Planning and design of project of a comprehensive character requiring the correlation of principles and procedures drawn from a variety of areas in engineering and related branches of science.

ME 632 Approximate Solution Techniques (3+0+0) 3 ECTS 8
(Yaklaşık Çözüm Yöntemleri)
Method of weighted residuals; boundary value, eigenvalue and initial value problems in heat and mass transfer. Application to fluid mechanics, chemical reaction systems, convective instability problems. Variational principles in heat and mass transfer. Convergence and error bounds.

ME 634 Robotics (3+0+0) 3 ECTS 8
(Robot Sistemleri)
Fundamental aspects of robotics and type of robots. Rotation matrices. Homogeneous transformations. Direct kinematics. Inverse kinematics. Jacobean matrix. Dynamic force analysis via Newton-Euler formulation. Motion equations via Lagrangian formulation. Trajectory planning. Control methods of manipulators.

ME 636 System Modeling and Identification (3+0+0) 3 ECTS 8
(Sistem Modelleme ve Tanılama)
Systems and models. Modeling of complex systems. Lagrange equations. Bond graphs. System identification. Estimation from transient response. Spectra and frequency functions. Least squares estimation. Parameter estimation in dynamic models. Model validation.

ME 641 Wave Propagation (3+0+0) 3
(Dalga Yayılması)
Basic equations of elastodynamics, methods of solutions. Navier's equations. Selected problems in one and two space dimensions. Impact problems, explosion, reflection, refraction, Rayleigh surface waves, and various other selected problems of practical importance in diverse engineering disciplines.

ME 652 Viscous Flow Theory (3+0+0) 3 ECTS 8
(Viskos Akış Kuramı)
Equation of Motion for Viscous flow Exact solutions of Navier-Stokes equations. Creeping flow: Stokes and Oseen solutions, lubrication theory. Boundary layer theory: similar solutions, approximate methods of solution, computer methods of solution, stability, turbulent boundary layers. Introduction to three-dimensional compressible boundary layer flows.

ME 653 Turbulent Flow Theory (3+0+0) 3 ECTS 8
(Turbulanslı Akışlar Kuramı)
Basic concepts. Scales of time, velocity, space. Time averaging of fundamental equations. Turbulent flow theories and models. Dynamics of turbulence. Turbulent pipe, boundary layer and force shear flows. Turbulent transport. Statistical description of turbulence. Spectral dynamics.

ME 654 Gas Dynamics (3+0+0) 3 ECTS 8
(Gaz Dinamiği)
Basic equations of compressible flow. Wave propagation in compressible media. One dimensional compressible flow. Equations of motion for multidimensional flow. Methods for solution. Oblique shock. Introduction to hypersonic flow. Introduction to rarefied gas dynamics.

ME 655 Advanced Turbine Design (3+0+0) 3
(İleri Türbin Tasarımı)
Review of gas dynamics and thermodynamics. Velocity triangles. Two dimensional flow in turbine stages. Turbine cascades. Calculation of design point efficiency of turbine stages using cascade data. Potential flow and methods of solution. Three dimensional design of turbines. Radial equilibrium theory. Off-design performance. Introduction to turbine cooling.

ME 656 Computational Fluid Dynamics (3+0+0) 3 ECTS 8                          
(Sayısal Akışkanlar Dinamiği)
Fundamentals of computational fluid dynamics and high performance computing; basic flow models; grid generation; discretization techniques. Analysis of linear and nonlinear systems; algorithm development; convective-diffusive systems; turbulence modeling; combustion modeling.
Prerequisite: ME 551.

ME 662 Convective Heat Transfer (3+0+0) 3 ECTS 8
(Taşınım ile Isı Transferi)
Basic equations of fluid flow. Differential and integral equations of the boundary layer. Forced convection in internal and external laminar flows. Momentum-heat transfer analogies for turbulent flow. Natural convection.

ME 663 Radiation Heat Transfer (3+0+0) 3 ECTS 8
(Işınım ile Isı Transferi)
Basic laws of thermal radiation. Radiation properties of solids and liquids. Exchange of thermal radiation between surfaces separated by transparent media; non-gray and non-diffuse surfaces. Gas radiation in enclosures. Radiation combined with conduction and/or convection.

ME 664 Two-Phase Heat Transfer (3+0+0) 3 ECTS 8
(İki Fazlı Isı Transferi)
Nucleation and bubble growth in boiling. Pool boiling heat transfer. Critical heat flux. Film boiling. Kinematics and dynamics of adiabatic two-phase flow. Two phase flow with boiling and/or evaporation. Stability of two-phase flows. Condensation.

ME 681, 682, 683, 684, 685, 686, 687, 688, 689 Special Topics (3+0+0) 3 ECTS 8
(Özel Konular)
Advanced special topics of current interest in mechanical engineering selected to suit the individual interests of the students and faculty in the department. The course is designed to give the student of advanced level an opportunity to learn about the most recent advances in the field of mechanical engineering.

ME 690 M.S. Thesis ECTS 60
(Yüksek Lisans Tezi)

ME 691, 692, 693, 694, 695, 696 Special Studies (3+0+0) 3 ECTS 8
(Özel Çalışmalar)
Study of special subjects not covered in other courses at the graduate level.

ME 697, 698 Mechanical Engineering Seminars (1+0+0) 1 ECTS 1
(Makina Mühendisliği Seminerleri)
Subjects and speakers to be arranged.

ME 699 Guided Research I (2+0+4) 4 ECTS 8
(Yönlendirilmiş Çalışmalar I)
Research in the field of Mechanical Engineering, by arrangement with members of the faculty; guidance of doctoral students towards the preparation and presentation of a research proposal.

ME 69A Guided Research II (0+4+0) 0 Pass/ Fail ECTS 8
(Yönlendirilmiş Çalışmalar II )
Continued research in the field of Mechanical Engineering, supervised by faculty; preparation and presentation of a research proposal.

ME 69B Guided Research III (0+4+0) 0 Pass/ Fail ECTS 8
(Yönlendirilmiş Çalışmalar III )
Continued research in the field of Mechanical Engineering, supervised by faculty; preparation and presentation of a research proposal.

ME 69C Guided Research IV (0+4+0) 0 Pass/ Fail ECTS 8
(Yönlendirilmiş Çalışmalar IV)
Continued research in the field of Mechanical Engineering, supervised by faculty; preparation and presentation of a research proposal

ME 69D Guided Research V (0+4+0) 0 Pass/ Fail ECTS 8
(Yönlendirilmiş Çalışmalar V)
Continued research in the field of Mechanical Engineering, supervised by faculty; preparation and presentation of a research proposal.

ME 700 Graduate Seminar (0+1+0) 0 ECTS 2
(Lisansüstü Seminer)
Seminars offered by faculty, guest speakers and graduate students designed to widen students' perspectives on specific topics of interest and to expand their range of scientific research techniques and publication ethics.

ME 790 Ph.D. Thesis ECTS 120
(Doktora Tezi)