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 Ph.D. 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 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.

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