TYPE OF COURSE UNIT	Elective Course
LEVEL OF COURSE UNIT	Doctorate Of Science
YEAR OF STUDY	-
SEMESTER	-
NUMBER OF ECTS CREDITS ALLOCATED	10
NAME OF LECTURER(S)	Professor Sami Karadeniz
LEARNING OUTCOMES OF THE COURSE UNIT	At the end of this course, the students; 1) An ability to apply knowledge of mathematics, science, and engineering. 2) An ability to identify, formulate, and solve engineering problems. 3) An ability to use the modern engineering techniques.
MODE OF DELIVERY	Face to face
PRE-REQUISITES OF THE COURSE	No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT	None
COURSE DEFINITION	Mathematical preliminaries, Review of Elasticity problems. Axial loaded bars, beams and prismatic elements in torsion. Introduction to energy and variational principles, work and energy. Deformation, complementary deformation energy. Variational calculus,. Euler equation. Main and natural boundary conditions. Virtual work and energy principles. Minimum total potential energy principle. Virtual force and complementary potential energy principles. Stationary variational principles. Hellinger-Reissner and Reissner variational principles. Hamilton principle. Castigliano's First and Second Theorems. Ritz Method, weighted remainder methods. Kantorovich and Trefftz methods. Applications.
COURSE CONTENTS	WEEK TOPICS 1st Week Mathematical preliminaries 2nd Week Review of Elasticity problems 3rd Week Axial loaded bars, beams and prismatic elements in torsion 4th Week Introduction to energy and variational principles, work and energy 5th Week Deformation, complementary deformation energy 6th Week Variational calculus 7th Week Euler equation, Main and natural boundary conditions , Virtual work and energy principles 8th Week Minimum total potential energy principle, Virtual force and complementary potential energy principles 9th Week Stationary variational principles , Hellinger-Reissner and Reissner variational principles, Hamilton principle 10th Week Castigliano's First and Second Theorems 11th Week Ritz Method, weighted remainder methods 12th Week Kantorovich and Trefftz methods. Applications. 13th Week Applications 14th Week Final
RECOMENDED OR REQUIRED READING	Energy principles and variational methods in applied mechanics,Second edition, J.N.Reddy Energy and Variational Methods in Applied Mechanics, J. N. Reddy, 1984 Energy Methods in Applied Mechanics, H. L. Langhaar, 1962 Solid Mechanics: A Variational Approach, Clive L. Dym, Irving H. Shames, 1973 McGraw-Hill Variational Methods in Elasticity and Plasticity, Washizu, K., 1982, 3rd edition, Pergamon Press, NewYork. Methods of Applied Mathematics, F. B. Hildebrand, 2nd edition, 1965 Prentice-Hall, Inc.
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS	Lecture,Presentation
ASSESSMENT METHODS AND CRITERIA	Quantity Percentage(%) Mid-term 1 35 Assignment 6 20 Total(%) 55 Contribution of In-term Studies to Overall Grade(%) 55 Contribution of Final Examination to Overall Grade(%) 45 Total(%) 100
ECTS WORKLOAD	Activities Number Hours Workload Midterm exam 1 3 3 Preparation for Quiz Individual or group work 14 4 56 Preparation for Final exam 1 50 50 Course hours 14 3 42 Preparation for Midterm exam 1 30 30 Laboratory (including preparation) Final exam 1 3 3 Homework 6 20 120 Total Workload 304 Total Workload / 30 10,13 ECTS Credits of the Course 10
LANGUAGE OF INSTRUCTION	Turkish
WORK PLACEMENT(S)	No