FINITE ELEMENT METHOD

CE522

Course Code: CE522
Semester: -
Theory+Practice: 3 + 0
ECTS: 10

Course Type

Elective Course

Course Level

Master's Degree With Thesis

Year of Study

Semester

ECTS

Name of Lecturer(s)

Learning Outcomes

At the end of this course, the students;

Formulate variational and Galerkin methods for second and fourth order boundary value problems,
Formulate and implement finite elements for linear elastic problems,
Implement numerical integration algorithms in the context of finite elements,
Solve eigenvalue and time dependent problems in 1D and 2D.

Mode of Delivery

Face to face

Prerequisites

Recommended Optional Programme Components

None

Course Description

Review of matrix algebra and calculus of variations. Variation and Galerkin formulations. Formulation of second and fourth-order boundary value problems. Elasticity, plate bending and shell elements. Area and isoparametric coordinates. Numerically integrated elements. Implementation of general-purpose finite element computer programs. Eigenvalue and time dependent problems. Nonlinear analysis.

Course Contents

WEEK	TOPICS
1^st Week	Review of matrix algebra and calculus of variations
2^nd Week	Variational Formulation
3^rd Week	Galerkin Formulation
4^th Week	Formulation of second order boundary value problems
5^th Week	Formulation of fourth order boundary value problems
6^th Week	Elasticity: Plate Bending
7^th Week	Elasticity: Shell Elements
8^th Week	Midterm
9^th Week	Area and isoparametric formulations.
10^th Week	Area and isoparametric formulations.
11^th Week	Numerically integrated elements.
12^th Week	Eigenvalue problems
13^th Week	Time dependent problems
14^th Week	Implementation of general-purpose finite element computer programs
15^th Week	Introduction to nonlinear finite element analysis

Recommended or Required Reading

1. Lecture Notes.
2. Sonlu Elemanlar Metodu: Temelleri ve Yapı Mekaniğinde Uygulamaları Matlab ile, Kasimzade Azer A., Nobel Akademik Yayıncılık, 2018.
3. Introduction to Nonlinear Finite Element Analysis, Kim N., Springer, 2015.
4. The Finite Element Method in Engineering, Rao S., Elsevier, 2017.

Planned Learning Activities and Teaching Methods

Lecture
Questions/Answers
Presentation

Assessment Methods and Criteria

	Quantity	Percentage (%)
Mid-term	1	30
Assignment	1	10
Quiz	1	20
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	2	2
Preparation for Quiz	1	50	50
Individual or group work	14	3	42
Preparation for Final exam	1	80	80
Course hours	14	3	42
Preparation for Midterm exam	1	60	60
Laboratory (including preparation)
Final exam	1	2	2
Homework	1	20	20
Quiz	1	2	2
Total Work Load			300
Total Work Load / 30 (h)			10
ECTS Credit of the Course			10

Language of Instruction

English

Work Placement(s)

Programme Qualifications / Learning Outcomes

	LO1	LO2	LO3	LO4
K1	X	X	X	X
K2			X	X
K3	X	X		X
K4	X	X	X
K5		X		X
K6
K7
K8	X	X	X
K9
K10
K11	X	X