Theory of Plasticity (ME667) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
Theory of Plasticity ME667 Area Elective 3 0 0 3 5
Pre-requisite Course(s)
N/A
Course Language English
Course Type Elective Courses
Course Level Natural & Applied Sciences Master's Degree
Mode of Delivery Face To Face
Learning and Teaching Strategies Lecture, Question and Answer.
Course Coordinator
Course Lecturer(s)
Course Assistants
Course Objectives This course aims at a better understanding and formulation of plastic deformation of metals. It also discusses the role of microstructure and thermodynamics in plastic deformation. Different rules and models are discussed in details together with their mathematical representation including Maximum dissipation and normality rule, hardening rules, Non-associated flow rules. Slip line theory is discussed.
Course Learning Outcomes The students who succeeded in this course;
  • Mathematical preliminaries; stress and strain; constitutive responses; physics of plasticity; application of plasticity theory for different materials; Formulation of rate-independent plasticity; maximum dissipation postulate; yield criteria; flow rules and hardening rules; uniqueness theorems; extremum principles in plasticity; limit analysis; shakedown theorems; plane problems in plasticity; slip line theory and its applications; plastic stability; plastic buckling; global and local criteria of plastic stability; strain localization and shear bands; dynamic plasticity
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 hardening.

Weekly Subjects and Releated Preparation Studies

Week Subjects Preparation
1 Introductory Concepts in Plasticity
2 On the role of microstructure and thermodynamics in plastic deformation
3 Constitutive responses: elastic, viscoelastic, plastic, viscoplastic, anisotropy, etc.
4 Rate dependent and rate independent plasticity
5 Plastic strain, incremental strain, and hardening variables
6 Yield criteria
7 Maximum dissipation and normality rule (Associated flow rules)
8 Hardening rules (isotropic and kinematic)
9 Non-associated flow rules
10 Uniqueness theorems and variational principles in plasticity
11 Basic equations of plane strain and plane stress Slip lines and their properties
12 Solution to several problems (such as indentation, necking, drawing, etc)
13 The concept of plastic stability
14 Dynamic plasticity

Sources

Course Book 1. Chakrabarty, Jagabanduhu. Theory of plasticity. Butterworth-Heinemann, 2012
Other Sources 2. Hill, Rodney. The mathematical theory of plasticity. Vol. 11. Oxford university press, 1998. Batdorf, So Bo, and Bernard Budiansky. "A mathematical theory of plasticity based on the concept of slip." (1949).

Evaluation System

Requirements Number Percentage of Grade
Attendance/Participation - -
Laboratory - -
Application - -
Field Work - -
Special Course Internship - -
Quizzes/Studio Critics 4 10
Homework Assignments 4 20
Presentation - -
Project 1 20
Report - -
Seminar - -
Midterms Exams/Midterms Jury 1 20
Final Exam/Final Jury 1 30
Toplam 11 100
Percentage of Semester Work
Percentage of Final Work 100
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) 14 3 42
Laboratory
Application
Special Course Internship
Field Work
Study Hours Out of Class
Presentation/Seminar Prepration
Project
Report
Homework Assignments 4 4 16
Quizzes/Studio Critics 3 3 9
Prepration of Midterm Exams/Midterm Jury 1 20 20
Prepration of Final Exams/Final Jury 1 20 20
Total Workload 107