GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION

THEORY OF ELASTICITY/5211308

Course Title:	THEORY OF ELASTICITY
Credits	3	ECTS	7.5
Course Semester	1	Type of The Course	Elective

COURSE INFORMATION

-- (CATALOG CONTENT)

Basic mathematics relevant to elasticity: Summation convention on vectors, matrices and 2nd. order tensors. Coordinate transformations. 2nd. order and higher order tensors. Continuum kinematics: Motion of particles. Lagrange and Euler definitions of motion. Finite deformation and deformation gradient tensor. Other finite deformation tensors. Small deformation. Force and stress in an elastic continuum: Characteristic values and directions of stress tensor. Partial differential equations of motion and equilibrium. Plane stress. Conservation of mass, linear and angular moments. Piola-Kichhoff stress tensors. Constitutive equations of elastic solids: Examples of hyperelastic solids. St Venant-Kirchhoff materials, Mooney-Rivlin materials, Ciarlet-Geymonat materials. Isotropic tensors and solids. Lame constants. Navier equations. Beltrami-Michell equations. Plane stress and strain problems: Airy stress function. 2 dimensional problems in rectangular and polar coordinates. Stress concentrations.

-- (TEXTBOOK)

-- (SUPPLEMENTARY TEXTBOOK)

-- (PREREQUISITES AND CO-REQUISITES)

-- LANGUAGE OF INSTRUCTION

Turkish

-- COURSE OBJECTIVES

-- COURSE LEARNING OUTCOMES

Comprehension of the mathematical and mechanical aspects of the theory of elasticity.
Applications of the theory of elasticity to static and dynamic problems concerning linear elastic and hyperelastic solids.
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-- MODE OF DELIVERY

The mode of delivery of this course is face to face.

--WEEKLY SCHEDULE
1. Week	Introduction basic mathematics relevant to the theory of elasticity.
2. Week	Second order and higher order tensors.
3. Week	Continuum kinematics, motion of particles, Lagrange and Euler definitions of motion.
4. Week	Finite deformation, deformation gradient tensor, other tensors of finite deformation and small deformation.
5. Week	1st. Midterm Exam
6. Week	Force and stress tensors in an elastic continuum. Characteristic values and directions of stress tensor.
7. Week	Partial differential equations of motion and equation of elastic bodies. Conservation of mass, linear momentum and angular momentum
8. Week	Cauchy stress, 1st. and 2nd. Piola-Kichoff stress tensors. Plane stress problems.
9. Week	Constitutive equations of hyperelastic and linear elastic solids. St Venant-Kirchhoff materials, Mooney-Rivlin materials, Ciarlet-Geymonat materials.
10. Week	Isotropic tensors and linear isotropic solids. Lame constants.
11. Week	2nd. Midterm Exam
12. Week	Derivation of Navier equations and Beltrami-Michell equations.
13. Week	Plane stress and plane strain problems. Examples of static and dynamic problems.
14. Week	Airy stress function. 2 dimensional problems in rectangular coordinates.
15. Week	2 dimensional problems in polar coordinates. Stress concentrations.
16. Week	-

-- TEACHING and LEARNING METHODS

-- ASSESSMENT CRITERIA

	Quantity	Total Weighting (%)
Midterm Exams	2	60
Assignment	0	0
Application	0	0
Projects	0	0
Practice	0	0
Quiz	0	0

Percent of In-term Studies		60
Percentage of Final Exam to Total Score		40

-- WORKLOAD

Activity	Total Number of Weeks	Duration (weekly hour)	Total Period Work Load
Weekly Theoretical Course Hours	13	3	39
Weekly Tutorial Hours			0
Reading Tasks	14	3	42
Searching in Internet and Library	10	3	30
Material Design and Implementation			0
Report Preparing	6	6	36
Preparing a Presentation			0
Presentation			0
Midterm Exam and Preperation for Midterm Exam	2	10	20
Final Exam and Preperation for Final Exam	1	15	15
Other (should be emphasized)			0
TOTAL WORKLOAD:			182
TOTAL WORKLOAD / 25:			7.28
Course Credit (ECTS):			7.5

-- COURSE'S CONTRIBUTION TO PROGRAM

NO	PROGRAM LEARNING OUTCOMES	1	2	3	4	5
1	Course develops student’s skills of expression and research					X
2	Grasping the inter-disciplinary interaction related to his field				X
3	The ability to use the expert-level theoretical and practical knowledge acquired in his field				X
4	Interpreting and forming new types of knowledge by combining the knowledge from the area and the knowledge from various other disciplines			X
5	Solves the issues of his field by using scientific methods				X
6	The ability to carry out a specialist study related to his area independently			X
7	Developing new strategic approaches to solve the unforeseen and complex problems arising in the practical processes					X
8	Coming up with solutions while taking responsibility	X
9	Fulfilling the leader role in the environments where solutions are sought for the problems related to his field		X
10	Evaluates issues with a critical eye and encourages learning				X
11	Transferring the current developments in the area and his/her own work within the national and international environments orally, visually and in written forms	X
12	Ability to see and develop social relationships and the norms directing these relationships with a critical look and the ability to take action to change these when necessary	X
13	Having proficiency in a foreign language and establishing written and oral communication with that language	X
14	Uses computer programs competent enough for his department		X
15	Using communication technologies efficiently and according to the needs of the department	X
16	Collects data related to the field, reviews and makes conclusions; implements and shares them by considering ethical values	X
17	Develops different perspectives related to the field, plans them and assesses them within the quality framework			X
18	Internalizes the knowledge gained in the field, transforms it into a skill and uses it with interdisciplinary studies				X

-- NAME OF LECTURER(S)

(Prof. Dr. Tekin Gültop)

-- WEB SITE(S) OF LECTURER(S)

( )

-- EMAIL(S) OF LECTURER(S)

(tgultop@gazi.edu.tr )

Gazi University

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GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR