NONLINEAR FINITE ELEMENT ANALYSIS

MAK630

Course Code: MAK630
Semester: -
Theory+Practice: 3 + 0
ECTS: 10

Course Type

Elective Course

Course Level

Doctorate Of Science

Year of Study

Semester

ECTS

Name of Lecturer(s)

Learning Outcomes

At the end of this course, the students;

Will be able to acquire the fundamentals of finite element method.
Will be able to select the right element types in the numerical solutions of the linear problems related to Mechanics, Heat Transfer and Fluid Mechanics by finite element method.
Will be able to apply the method for the numerical solution of various engineering problems.

Mode of Delivery

Face to face

Prerequisites

Recommended Optional Programme Components

None

Course Description

Nonlinearities of finite element analysis (geometrical, material and boundary conditions). Strain and stress for large displacements/deformations. Mathematical models for elastic and elastoplastic materials. Formulation of the nonlinear finite element method. Numerical integration of dynamically excitated systems. Implicit/explicit time integration. Incremental-iterativ solution methods for nonlinear static and dynamic problems.

Course Contents

WEEK	TOPICS
1^st Week	Basic Concepts of the Decimal Element Method
2^nd Week	One-Dimensional (1-D) Finite Elements
3^rd Week	One-Dimensional (1-D) Finite Elements
4^th Week	Two Dimensional (2-D) Finite Elements
5^th Week	Two Dimensional (2-D) Finite Elements
6^th Week	1-D and 2-D Co-Parameter Elements and Numerical Integration
7^th Week	1-D and 2-D Co-Parameter Elements and Numerical Integration
8^th Week	MIDTERM
9^th Week	Axially Symmetrical Elements
10^th Week	Three Dimensional Elements
11^th Week	Formulation of Solid Mechanics Problems
12^th Week	Formulation of Heat Transfer Problems. Formulation of Fluid Mechanics Problems
13^th Week	Numerical Solution of Finite Element Equations, Preprocessing and Postprocessing
14^th Week	Error Analysis and Applications

Recommended or Required Reading

Bathe, K.J., Finite Element Procedures in Engineering Analysis, Prentice-Hall, 1982, 1995.
Burnett, D.S., Finite Element Analysis, Addison-Wesley, 1987.
Chandrupatla, T.R. and Belegundu, A.D., Introduction to Finite Elements in Engineering, Prentice-Hall, 2012. Çeviri : Mühendislikte Sonlu Elemanlar Yöntemi , S. KARADENİZ, literature Yayıncılık , 2017
Cook, R.D., Malkus, D.S. and Plesha, M.E., Concepts and Applications of Finite Element Analysis, 3rd Ed., John Wiley, 1989.
Moaveni, S., Finite Element Analysis ? Theory and Application with ANSYS, 2nd Ed., Pearson Education, 2003.
Rao, S.S., Finite Element Method in Engineering, 3rd Ed., Butterworth-Heinemann, 1998.
Reddy, J.N., An Introduction to the Finite Element Method, McGraw-Hill, 1993.
Zienkiewicz, O.C. and Taylor, R.L., The Finite Element Method, Fourth Edition, McGraw-Hill, 1977, 1989.

Planned Learning Activities and Teaching Methods

Lecture
Presentation
Discussion
Problem Solving
Questions/Answers

Assessment Methods and Criteria

	Quantity	Percentage (%)
Mid-term	1	30
Assignment	2	10
Quiz	2	10
Project	1	10
Total(%)		60
Contribution of In-term Studies to Overall Grade(%)		60
Contribution of Final Examination to Overall Grade(%)		40
Total(%)		100

ECTS Allocated Based on Student Workload

Activities	Quantity	Duration (Hour)	Total Workload (Hour)
Midterm exam	1	3	3
Preparation for Quiz	2	10	20
Individual or group work	14	3	42
Preparation for Final exam	1	60	60
Course hours	14	3	42
Preparation for Midterm exam	1	40	40
Laboratory (including preparation)
Final exam
Homework	2	15	30
Project	1	70	70
Quiz	2	1	2
Total Work Load			309
Total Work Load / 30 (h)			10.3
ECTS Credit of the Course			10

Language of Instruction

Turkish

Work Placement(s)

Programme Qualifications / Learning Outcomes

	LO1	LO2	LO3
K1	X
K2	X	X	X
K3
K4		X
K5		X	X
K6
K7		X	X
K8
K9
K10
K11