Doç. Dr.Cavit Atalar

Doç. Dr.Fa’eq Radwan

Yrd.Doç. Dr.Ali Evcil

Yrd.Doç. Dr.Hüseyin Çamur

Yrd.Doç. Dr.Lida I. Vafaei

CODE | COURSE TITLE | CREDIT |
---|---|---|

ME 501 | Advanced and Applied Mathematics for Engineers | 3 |

ME 502 | Numerical Methods | 3 |

ME 504 | Operational Research | 3 |

ME 505 | Systems Optimization | 3 |

ME 511 | Advanced Mechanical Behavior of Materials | 3 |

ME 515 | Introduction to Implant Materials | 3 |

ME 526 | Introduction to Finite Element Method | 3 |

ME 531 | Advanced Fluid Mechanics | 3 |

ME 532 | Boundary Layer Theory | 3 |

ME 533 | Turbulent Flow | 3 |

ME 534 | Computational Fluid Flow and Heat Transfer | 3 |

ME 536 | Theory of Wind Turbines | 3 |

ME 561 | Advanced Engineering Thermodynamics | 3 |

ME 567 | Advanced Conduction | 3 |

ME 568 | Advanced Convection | 3 |

ME 571 | Mechanical Behavior of Composite Materials | 3 |

ME 572 | Advanced Finite Element Method | 3 |

ME 573 | Fracture Mechanics | 3 |

ME 574 | Theory of Elasticity | 3 |

ME 575 | Materials Failure Analysis | 3 |

ME 576 | Semi-Solid Forming | 3 |

ME 578 | Biomedical Materials and Devices | 3 |

ME 581 | Advanced Stress Analysis | 3 |

ME 582 | Advanced Mechanics of Solids | 3 |

ME 585 | Continuum Mechanics | 3 |

ME 591 | Non-Traditional Production Methods | 3 |

ME 595 | Reliability Based Design | 3 |

ME 598 | Report Writing | 3 |

ME 599 | Mechanical Engineering Seminar | 3 |

ME 600 | Ph.D Thesis. | 3 |

**ME 501 Advanced and Applied Mathematics for Engineers (3 credits)**

Review of Vector Algebra, Complex Numbers, Laplace Transforms and Fourier Series. Review of Ordinary Differential Equations. Variations of Parameters and Cauchy-Euler Differential Equations. Beta and Gamma Functions. System of Linear Diffrerential Equations. Partial Differential Equations and Probability.

**ME 502 Numerical Methods (3 credits)**

Nonlinear algebraic equations, sets of linear algebraic equations, eigenvalue problems, interpolation, curve fitting, ordinary differential equations, and partial differential equations, solution of partial differential equations of the parabolic, elliptic and hyperbolic type. Applications include fluid mechanics, gas dynamics, heat and mass transfer, thermodynamics, vibrations, automatic control systems, kinematics, and design.

**ME 504 Operational Research (3 credits)**

Introduction to OR, formulating mathematical models. Properties of convex polyhedrons. The linear programming model. Primal Simplex Method. Revised Simplex Method. Duality Theorem and Transportation Problems. Game Theory. Introduction to Linear Programming Models. Methods of Line Search. Convex Programming. The Method of Feasible Directions. Introduction to Integer Programming Models. Branch-and-Bound Method.

**ME 505 Systems Optimization (3 credits)**

Optimization technique in engineering design and manufacturing, formulation of engineering optimization problems, linear and nonlinear programming, and optimization methods applied to unconstrained and constrained functions of one or more variables, solution evaluation and sensitivity analysis and computer solutions, and applications in engineering optimization modeling and methods.

**ME 511 Advanced Mechanical Behavior of Materials (3 credits)**

Yielding and fracture under combined stress, Fracture of cracked members, Stress based fatigue for materials and notched members, Crack growth, Plastic deformation and models, plastic stress-strain analysis. Strain based approach to fatigue. Time dependent behavior

**ME 515 Introduction to Implant Materials (3 credits)**

Relationship between materials and medical science. Classification of implant materials in Orthopedy and Dentistry. Mechanical, Phyisical and Chemical properties of implant materials, biocompatibility, degradation of implant materials in biological environment, new products and standards.

**ME 526 Introduction to Finite Element Method (3 credits)**

Analysis of stress and strain. Constitutive equations. Plane problems of elasticity. The finite element concept. One-and two-dimensional finite element formulation techniques. Transformations, assembly and solution techniques. Introduction to three dimensional finite elements. Project assignments of one and two dimensional problems

**ME 531 Advanced Fluid Mechanics (3 credits)**

Governing Equations, Basic Conservation Laws, Flow Kinematics, Special Foems of the Governing Equations, Ideal-Fluid Flow:Two-dimensional Potential Flows, Viscous Flows of Incompressible Fluids: Exact Solutions.

**ME 532 Boundary Layer Theory (3 credits)**

Some Features of Viscous Flow, Fundamentals of Boundary-Layer Theory, Field Equations for Flows of Newtonian Fluids, Laminar Boundary Layer: Boundary layer Equations in Plane Flow, Exact Solutions of the Boundary Layer Equations for Plane flows.Unsteady Boundary Layers. Laminar-Turbulent Transition, Turbulent Boundary Layer.

**ME 533 Turbulent Flow (3 credits)**

Stability Theory and Transition, Reynolds equation, Physical Structure of Turbulent Boundary Layer, Turbulent Pipe and Channel Flow, Analysis of Flat Plate, Integral Analysis, Jets, Wakes, Free-Shear layers, Turbulence Modelling, Isotropic Turbulence, Energy Spectra, Correlations.

**ME 534 Computational Fluid Flow and Heat Transfer (3 credits)**

Differential Equations, Types of Differential Equations, Boundary and Initial Conditions, Momentum, Energy, ans Species, General Form of the Conservation Equation; Review of Approximate Methods, Finite Difference, Weighted Residual, Spectral Method, Finite Element, Control Volume, Finite Analytical Method, Control Volume Formulation; Steady and Unsteady Diffusion Equation, Time Discretization Techniques, Explicit, Crank-Nicolson, Implicit Schemes; Solution of Algebraic Equations; Convection-Diffusion Equation, Upwind, Central and Quadratic Schemes, False Diffusion; Vorticity and Permittive Approach, Staggered Grid Concept, SIMPLE and Other Version of SIMPLE (SIMPLER) Algorithm; Applications, Examples of Heat Transfer, Laminar, Turbulent Flow.

**ME 536 Theory of Wind Turbines (3 credits)**

Modern wind energy and its origins. Wind characteristics and resourses. Aerodynamics of wind turbines. Mechanics and dynamics. Wind turbine and design.

**ME 561 Advanced Engineering Thermodynamics (3 credits)**

1st and 2nd Laws of Thermodynamics, Availability and Chemically Reacting Systems.

**ME 567 Advanced Conduction (3 credits)**

Derivation of heat conduction equation in rectangular, cylindrical and spherical coordinate systems, and solution methods of this differential equation for steady and transient cases under various boundary conditions.

**ME 568 Advanced Convection (3 credits)**

Derivation of mass, momentum and energy conservation equations in rectangular and cylindrical coordinate systems. Boundary layer theory, solution of conservation equations and application in various problems.

**ME 571 Mechanical Behavior of Composite Materials (3 credits)**

Introduction to composite materials, Review of linear elasticity theory, Generalized Hooke’s Law for anisotropic elastic materials, Macro- and micro- mechanical behavior of a lamina, Macromechanical behavior of a laminate, Bending, buckling and vibration of laminated plates.

**ME 572 Advanced Finite Element Method (3 credits)**

Inroduction, Review of linear finite element concept, Solution of non-linear equations, One dimensional non-linear FEM, General Rigid-Plastic FE solution.

**ME 573 Fracture Mechanics (3 credits)**

Analysis concepts for determining stress intensity factors for various types of cracks. Advanced experimental methods for evaluation of materials or structures for fracture toughness, analysis of moving cracks and the statistical analysis of fracture strength are topics covered during this course. Finally, illustrative fracture control plans are treated to show the engineering applications of fracture mechanics.

**ME 574 Theory of Elasticity (3 credits)**

Definitions of stress and strain, stress-strain relations and tensors. Equilibrium equations, displacements and small strains, compatibility, and strain energy; formulation of the governing equations and the appropriate boundary conditions in linear elasticity, and uniqueness of the solutions; two-dimensional theory; stress functions; solutions in Cartesian and polar coordinates; and Fourier series. Elastic contact. Thick walled cylinders and disks. Beams on elastic foundation.

**ME 575 Materials Failure Analysis (3 credits)**

Relationship between the structure, charateristics, performance and failure in engineering materials. Material defects during production and in use. Crack propagation, fatigue, creep, radiation failure, wear, oxidation and corrosion. Examples. Failure prevention and measures.

**ME 576 Semi-Solid Forming (3 credits)**

Relationship between the structure, charateristics and process in engineering materials. Core knowledge on materials which are used in high performance products and industrial processes, microstructure and characteristics of semi-solids, alloys with wide freezing range, squeeze casting and semi-solid production technigues. Quality of products.

**ME 578 Biomedical Materials and Devices (3 credits)**

Characterisation of biomedical marterials, biomechanic concepts. Material selection and design for biomechanical applications. Mechanical instrument selection for human body, external devices, devices that can be used as implants, medical equipments.

**ME 581 Advanced Stress Analysis (3 credits)**

Studies of stresses and strains in three-dimensional problems, failure theories and yield criteria, stress function approach to two-dimensional problems, bending of non homogeneous asymmetric curved beams, torsion of bars with noncircular cross sections, energy methods, elastic stability, introduction to plates.

**ME 582 Advanced Mechanics of Solids (3 credits)**

Continuum mechanics of solids and its application to the mechanical response of machine and structural elements, elasticity, plasticity and fracture criteria, elastic stress and analysis in torsion, plane stress and plane strain, stress concentrations, fracture mechanics, principle of virtual work and variational theorems, finite element method theorems of plastic limit analysis.

**ME 585 Continuum Mechanics (3 credits)**

Mathematical preliminaries, vectors, tensors, vector differentiation, and vector integrals, kinematics of deformation, symmetry of stress tensor, stress transformation, strain tensor, fundamental laws of continuum mechanics, constitutive equations, applications to linear and non-linear elasticity, plasticity, and fluid mechanics.

**ME 591 Non-Traditional Production Methods (3 credits)**

Introduction to non-traditional production methods and their classifications, mechanical energy, electromechanical chip production, thermal energy and chemical machining methods.

**ME 595 Reliability Based Design (3 credits)**

Building quality in manufacturing processes and products through statistical design of experiments, basic concepts of probability and random variables, time-dependent reliability models, strength-based reliability and interference theory, Weakest-link and fail-safe systems, Monte Carlo methods, maintainability and availability, fault tree analysis, quality control and reliability.

**ME 598 Report Writing.**

Students are taught how to write an effective scientific report and are asked to prepare a report on a given topic.

**ME 599 Mechanical Engineering Seminar.
Students are taught how to prepare an effective seminar and are asked to prepare and present a seminar on a given topic**

**ME 600 Ph.D Thesis.**

The students are required to conduct research studies under supervision on a topic and are asked to prepare a thesis report and presentation.