Theory of Plasticity (MDES683) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
Theory of Plasticity MDES683 Area Elective 3 0 0 3 5
Pre-requisite Course(s)
N/A
Course Language English
Course Type Elective Courses
Course Level Ph.D.
Mode of Delivery Face To Face
Learning and Teaching Strategies Lecture.
Course Coordinator
Course Lecturer(s)
Course Assistants
Course Objectives The students, through this course, will master the principles of plastic deformation of solids, mainly metals. The course will introduce the students with the continuum aspects of plastic deformation; yet the micromechanics will be out of scope.
Course Learning Outcomes The students who succeeded in this course;
  • Students will be able to solve plastic deformation problems in continuum sense. Students will be competitive in the field of mechanics of materials, more generally in plastic deformation. Students will have insight to major processes of metal forming, and will learn how to formulate the flow in such processes.
Course Content Vector and tensor calculus; general concepts about mechanics of materials-stress and strain concept; continuum deformation: displacement, strain and compatibility conditions; mechanics of continuous bodies: stress and stress equation of motion; elastic constitutive relations; inelastic constitutive relations; yield criteria, flow rules and hardenin

Weekly Subjects and Releated Preparation Studies

Week Subjects Preparation
1 Indicial notation, vector and tensor calculus, coordinate transformations, curvilinear coordinates Related pages of the textbook and other sources
2 Displacement, deformation gradient, Strain, strain rate, strain and strain rate tensors Related pages of the textbook and other sources
3 Principal strains, compatibility conditions Related pages of the textbook and other sources
4 Stress, Mohr's circle, definitions of stress tensors, Stress equations of motions as boundary value problems Related pages of the textbook and other sources
5 Elastic constitutive relations Related pages of the textbook and other sources
6 Plastic deformation - constitutive relations Related pages of the textbook and other sources
7 Yield criteria, flow rules and hardening rules Related pages of the textbook and other sources
8 Yield criteria, flow rules and hardening rules Related pages of the textbook and other sources
9 Rate independent plasticity Related pages of the textbook and other sources
10 Viscoplasticity Related pages of the textbook and other sources
11 Uniqueness and Extremum Theorems, Related pages of the textbook and other sources
12 Limit-analysis and Shakedown Theorems Related pages of the textbook and other sources
13 Crystal plasticity and anisotropic hardening models Related pages of the textbook and other sources
14 Large deformation plasticity Related pages of the textbook and other sources
15 Overall review -
16 Final exam -

Sources

Course Book 1. Davies, D. W. A., Basic Engineering Plasticity, Butterworth & Heinemann, (2006).
Other Sources 2. Prager, W., An Introduction to Plasticity, Addison Wesley, (2002).
3. Lubliner, J., Plasticity Theory, Dover, (2008)
4. Hill, R., The Mathematical Theory of Plasticity, Oxford University Press, (1998)

Evaluation System

Requirements Number Percentage of Grade
Attendance/Participation 1 5
Laboratory - -
Application - -
Field Work - -
Special Course Internship - -
Quizzes/Studio Critics 5 5
Homework Assignments 5 40
Presentation - -
Project - -
Report - -
Seminar - -
Midterms Exams/Midterms Jury 1 20
Final Exam/Final Jury 1 30
Toplam 13 100
Percentage of Semester Work 70
Percentage of Final Work 30
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 Ability to carry out advanced research activities, both individual and as a member of a team X
2 Ability to evaluate research topics and comment with scientific reasoning X
3 Ability to initiate and create new methodologies, implement them on novel research areas and topics X
4 Ability to produce experimental and/or analytical data in systematic manner, discuss and evaluate data to lead scintific conclusions X
5 Ability to apply scientific philosophy on analysis, modelling and design of engineering systems X
6 Ability to synthesis available knowledge on his/her domain to initiate, to carry, complete and present novel research at international level X
7 Contribute scientific and technological advancements on engineering domain of his/her interest area X
8 Contribute industrial and scientific advancements to improve the society through research activities X

ECTS/Workload Table

Activities Number Duration (Hours) Total Workload
Course Hours (Including Exam Week: 16 x Total Hours) 16 3 48
Laboratory
Application
Special Course Internship
Field Work
Study Hours Out of Class 16 2 32
Presentation/Seminar Prepration
Project
Report
Homework Assignments 5 5 25
Quizzes/Studio Critics
Prepration of Midterm Exams/Midterm Jury 2 8 16
Prepration of Final Exams/Final Jury 1 10 10
Total Workload 131