ECTSFundamentals and Applications of Mechanical Shaping

Fundamentals and Applications of Mechanical Shaping (MATE301) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
Fundamentals and Applications of Mechanical Shaping MATE301 5. Semester 4 0 0 4 6
Pre-requisite Course(s)
MATE 202, ME211 or MATH 275, consent of the department
Course Language English
Course Type Compulsory Departmental Courses
Course Level Bachelor’s Degree (First Cycle)
Mode of Delivery
Learning and Teaching Strategies .
Course Coordinator
Course Lecturer(s)
Course Assistants
Course Objectives To introduce the students of Materials Engineering to the mechanical fundamentals of elastic behavior, and the theory of plasticity; and the industrial metal forming (bulk deformation) processes
Course Learning Outcomes The students who succeeded in this course;
  • Stress and strain relationships for elastic behavior; Plane stress, Mohr’s Circle of Stress and Strain, State of stress in 3D, Stress Tensor and Strain Tensor, Hydrostatic and deviator components of stress, stresses from elastic strains
  • Understanding of Elements of the theory of plasticity; Flow curve, true stress and true strain, Yielding criteria, The yield locus, Yield Surface and Normality, Octahedral Shear Stress and Shear Strain, Invariants of Stress and Strain, Plastic stress-strain relations, Plastic instability
  • To get information about Plastic Forming of Metals; Forging, Rolling, Extrusion, Drawing of Rods, Wires and Tubes, Flow stress determination, Deformation-Zone geometry, Workability and Formability
  • Determination of Working Loads; Work Formula and Slab Method for Homogeneous Deformation; Flat Rolling, Slip line Field Analysis, and Upper and Lower Bound Analysis for Nonuniform Deformation.
  • To gain ability to comment on problems and defects encountered in industrial metalworking.
Course Content Macroscopic plasticity of engineering materials; yield criteria, plastic stress-strain relations, strain instability, strain rate and temperature; plasticity analysis by ideal work and stress evaluation (slab) methods; intoduction to other plasticity analysis such as upper-bound analysis, slip line field theory and finite element method;

Weekly Subjects and Releated Preparation Studies

Week Subjects Preparation
1 Mechanical Fundamentals: Elastic and Plastic Behavior, Ductile and Brittle Behavior, Concept of Stress and Strain, and Types of Stress and Strain
2 Stress and Strain Relationships for Elastic Behavior: Plane Stress, Mohr’s Circle of Stress, State of Stress in 3D, Stress Tensor
3 Stress and Strain Relationships for Elastic Behavior: Plain strain, Mohr’s Circle of Strain, Strain Tensor, Hydrostatic and Deviator Components of Stress
4 Stress and Strain Relationships for Elastic Behavior: Elastic Stress-Strain relations, Calculation of Stresses from Elastic Strains
5 Elements of the Theory of Plasticity: The Flow Curve, True Stress and True Strain, Yielding Criteria, Combined Stress Tests, The Yield Locus, Yield Surface and Normality.
6 Elements of the Theory of Plasticity: Octahedral Shear Stress and Shear Strain, Invariants of Stress and Strain, Plastic Stress-Strain Relations, Plastic Instability.
7 Fundamentals of Metalworking: Classification of Forming Processes, Mechanics of Metalworking: Flow Stress determination.
8 Fundamentals of Metalworking: Deformation-Zone Geometry, Workability and Formability.
9 Working Load determination-Homogeneous Deformation: Work Formula for Wire Drawing, Extrusion, Rolling, Forging. Maximum reduction of Area Calculation in one pass.
10 Working Load determination-Homogeneous Deformation: Slab Method, Drawing of wide strip, Effects of Friction and Lubrication, Maximum Reduction of Area in one pass with Friction, Comparison to Work Formula, Allowance for work-hardening in Stress Evaluation, Slab Method Application to Forging with Sliding and Sticking Friction and to round bar extrusion.
11 Working Load determination-Homogeneous Deformation: Flat Rolling Theory, Roll Separating Force, Effects of Front and Back Tension, Possible minimum Thickness Calculation, Torque and Power, Problems and Defects in Rolled Products.
12 Working Load determination-Nonuniform Deformation: Slip Line Field Analysis: Deformation by Simple Compression, Determination of Slip Lines, Stress Evaluation by using Slip Lines, Determination of Hydrostatic Pressure from Slip Line Rotation,
13 Working Load determination-Nonuniform Deformation: Application of Slip Line Theory and Construction of Slip Lines for Industrial Metalworking Processes; Extrusion with r<r*, r=r*, r>r*. Velocity Diagrams (Hodographs).
14 Working Load determination-Nonuniform Deformation: Upper and Lower Bound Analysis of Extrusion, plain-strain compression and deep piercing.
15 Overall Review
16 Final Exam


Course Book 1. Mechanical Metallurgy, G.E. DIETER, 3E, McGraw-Hill, 1988.
2. Metal Forming: Mechanics and Metallurgy, W.F. HOSFORD, R.M. CADDELL, 3E, Cambridge U. Press, 2007.
Other Sources 3. Elements of Metalworking Theory, G.W. ROWE, Edward-Arnold, 1965.
4. Deformation Processing, W.A. BACKOFEN, Addison-Wesley, 1972.

Evaluation System

Requirements Number Percentage of Grade
Attendance/Participation 1 5
Laboratory - -
Application - -
Field Work - -
Special Course Internship - -
Quizzes/Studio Critics - -
Homework Assignments 5 20
Presentation - -
Project - -
Report - -
Seminar - -
Midterms Exams/Midterms Jury 2 40
Final Exam/Final Jury - -
Toplam 8 65
Percentage of Semester Work 65
Percentage of Final Work 35
Total 100

Course Category

Core Courses X
Major Area Courses
Supportive Courses
Media and Managment Skills Courses
Transferable Skill Courses

The Relation Between Course Learning Competencies and Program Qualifications

# Program Qualifications / Competencies Level of Contribution
1 2 3 4 5
1 An ability to apply knowledge of mathematics, science, and engineering X
2 An ability to design and conduct experiments, as well as to analyze and interpret data X
3 An ability to design a system, component, or process to meet desired needs X
4 An ability to function on multi-disciplinary teams X
5 An ability to identify, formulate and solve engineering problems X
6 An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice X
7 An understanding of professional and ethical responsibility X
8 An ability to communicate effectively X
9 An understanding the impact of engineering solutions in a global and societal context and recognition of the responsibilities for social problems X
10 A knowledge of contemporary engineering issues X
11 Skills in project management and recognition of international standards and methodologies X
12 Recognition of the need for, and an ability to engage in life-long learning X

ECTS/Workload Table

Activities Number Duration (Hours) Total Workload
Course Hours (Including Exam Week: 16 x Total Hours)
Special Course Internship
Field Work
Study Hours Out of Class
Presentation/Seminar Prepration
Homework Assignments
Quizzes/Studio Critics
Prepration of Midterm Exams/Midterm Jury
Prepration of Final Exams/Final Jury
Total Workload 0