# Theory of Plasticity (ME667) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
Theory of Plasticity ME667 Elective Courses 3 0 0 3 5
Pre-requisite Course(s)
N/A
Course Language English Elective Courses Natural & Applied Sciences Master's Degree Face To Face Lecture, Question and Answer. 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. 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 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 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

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 100 100

### Course Category

Core Courses X

### 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 advanced knowledge in computational and/or manufacturing technologies to solve manufacturing engineering problems .
2 An ability to define and analyze issues related with manufacturing technologies.
3 An ability to develop a solution based approach and a model for an engineering problem and design and manage an experiment.
4 An ability to design a comprehensive manufacturing system based on creative utilization of fundamental engineering principles while fulfilling sustainability in environment and manufacturability and economic constraints.
5 An ability to chose and use modern technologies and engineering tools for manufacturing engineering applications.
6 Ability to perform scientific research and/or carry out innovative projects that are within the scope of manufacturing engineering.
7 An ability to utilize information technologies efficiently to acquire datum and analyze critically, articulate the outcome and make decision accordingly.
8 An ability to attain self-confidence and necessary organizational work skills to participate in multi-diciplinary and interdiciplinary teams as well as act individually.
9 An ability to attain efficient communication skills in Turkish and English both verbally and orally.
10 An ability to reach knowledge and to attain life-long learning and self-improvement skills, to follow recent advances in science and technology.
11 An awareness and responsibility about professional, legal, ethical and social issues in manufacturing engineering.
12 An awareness about solution focused project and risk management, enterpreneurship, innovative and sustainable development.
13 An understanding on the effects of engineering applications on health, social and legal aspects at universal and local level during decision making process.

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