ECTS - Introduction to Finite Element Analysis

Introduction to Finite Element Analysis (AE417) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
Introduction to Finite Element Analysis AE417 Area Elective 2 2 0 3 5
Pre-requisite Course(s)
MATH276 ve ME210
Course Language English
Course Type Elective Courses
Course Level Natural & Applied Sciences Master's Degree
Mode of Delivery Face To Face
Learning and Teaching Strategies .
Course Coordinator
Course Lecturer(s)
Course Assistants
Course Objectives This course deals with a formulation, programming (MATLAB), and application of finite element method (FEM). The course material is organized for 1D, 2D, and 2D beams.
Course Learning Outcomes The students who succeeded in this course;
  • find out stress and strain fields using FEM for a given geometry and boundary conditions in 1D
  • determine deformation fields for a truss structure analytically and using FEM
  • find out stress and strain fields using FEM for a given geometry and boundary conditions in 2D and 2D beams
Course Content Solving partial differential equations of mechanics numerically; fundamentals of the finite element method including weak form, shape functions, iso-parametric approximation, Gauss quadrature, element types, assembly operation, sparsity pattern with application to 2D problems; self-written finite element code in MATLAB; computational simulations of elastic materials and stress analysis using the MATLAB code; domain discretization, pre-processing and post-processing aspects.

Weekly Subjects and Releated Preparation Studies

Week Subjects Preparation
1 Understanding finite elements through springs combinations Lecture notes and presentations on Moodle website
2 Truss elements and assembly of 1D objects in 2D and 3D space
3 Programming assembly of truss structures
4 Strong form, weak form, energy minimization
5 Approximation using shape functions
6 Integration via Gauss quadrature
7 Formulation of FEM in 1D adopting iso-parametric concept
8 Programming 1D FE code
9 Strong and weak form for 2D problems
10 Domain discretization in 2D and pre-processing
11 Derivation of shape functions and Gauss quadrature in 2D
12 Formulation of FEM in 2D adopting isoparametric concept
13 Programming 2D FE code
14 Post-processing and visualization aspects

Sources

Course Book 1. A First Course in Finite Elements, Jacob Fish and Ted Belytschko, 2007, Wiley.
2. Introduction to Finite Element Analysis Using MATLAB and Abaqus, Amar Khennane, 2013 by Taylor & Francis Group, LLC.
3. MATLAB Codes Element Analysis for Finite Solids and Structures, A.J.M. Ferreira, Universidade do Porto Portugal.
4. Concepts and Applications of Finite Element Analysis, Robert D. Cook et al., 2001, Wiley.
5. The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, Thomas J. R. Hughes, 2000, Dover.

Evaluation System

Requirements Number Percentage of Grade
Attendance/Participation - -
Laboratory 1 5
Application 10 15
Field Work - -
Special Course Internship - -
Quizzes/Studio Critics - -
Homework Assignments 10 20
Presentation - -
Project - -
Report - -
Seminar - -
Midterms Exams/Midterms Jury 2 30
Final Exam/Final Jury 1 30
Toplam 24 100
Percentage of Semester Work
Percentage of Final Work 100
Total 100

Course Category

Core Courses X
Major Area Courses
Supportive Courses
Media and Managment Skills Courses
Transferable Skill Courses

The Relation Between Course Learning Competencies and Program Qualifications

# Program Qualifications / Competencies Level of Contribution
1 2 3 4 5
1 Ability to carry out advanced research activities, both individual and as a member of a team
2 Ability to evaluate research topics and comment with scientific reasoning
3 Ability to initiate and create new methodologies, implement them on novel research areas and topics
4 Ability to produce experimental and/or analytical data in systematic manner, discuss and evaluate data to lead scintific conclusions
5 Ability to apply scientific philosophy on analysis, modelling and design of engineering systems
6 Ability to synthesis available knowledge on his/her domain to initiate, to carry, complete and present novel research at international level
7 Contribute scientific and technological advancements on engineering domain of his/her interest area
8 Contribute industrial and scientific advancements to improve the society through research activities

ECTS/Workload Table

Activities Number Duration (Hours) Total Workload
Course Hours (Including Exam Week: 16 x Total Hours) 14 2 28
Laboratory 14 2 28
Application 10 2 20
Special Course Internship
Field Work
Study Hours Out of Class
Presentation/Seminar Prepration
Project
Report
Homework Assignments 10 3 30
Quizzes/Studio Critics
Prepration of Midterm Exams/Midterm Jury 2 5 10
Prepration of Final Exams/Final Jury 1 10 10
Total Workload 126