Theory of Plasticity (MDES683) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
Theory of Plasticity MDES683 3 0 0 3 5
Pre-requisite Course(s)
Consent of the instrutor
Course Language English
Course Type N/A
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
Major Area Courses X
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 Gains the ability to understand and apply knowledge in the fields of mathematics, science and basic sciences at the level of expertise.
2 Gains the ability to access wide and deep knowledge in the field of Engineering by doing scientific research with current techniques and methods, evaluate, interpret and implement the gained knowledge.
3 Being aware of the latest developments his/her field of study, defines problems, formulates and develops new and/or original ideas and methods in solutions.
4 Designs and applies theoretical, experimental, and model-based research, analyzes and interprets the results obtained at the level of expertise.
5 Gains the ability to use the applications, techniques, modern tools and equipment in his/her field of study at the level of expertise.
6 Designs, executes and finalizes an original work process independently.
7 Can work in interdisciplinary and interdisciplinary teams, lead teams, use the information of different disciplines together and develop solution approaches.
8 Pays regard to scientific, social and ethical values in all professional activities and acquires responsibility consciousness at the level of expertise.
9 Contributes to the literature by communicating the processes and results of his/her academic studies in written form or orally in national and international academic environments, communicates effectively with communities and scientific staff working in the field of specialization.
10 Gains the skill of lifelong learning at the level of expertise.
11 Communicates verbally and in written form using a foreign language at least at the European Language Portfolio B2 General Level.
12 Recognizes the social, environmental, health, safety, legal aspects of engineering applications, as well as project management and business life practices, being aware of the limitations they place on engineering applications.

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