Information Package

Master's of Mechanical Engineering without Thesis

MAK521

FINITE ELEMENT METHOD IN SOLID MECHANICS

Course Code
MAK521
Semester
-
Theory+Practice
3 + 0
ECTS
10
Course TypeElective Course
Course LevelMaster's Degree Without Thesis
Year of Study-
Semester-
ECTS10
Name of Lecturer(s) -
Learning Outcomes

At the end of this course, the students;

  1. Understanding the physical and mathematical theory principals at the background of finite element method.
  2. Learning the basics of variation principles in solid mechanics.
  3. Understanding the element types used in finite element package programs and determining the suitable element type according to type of the analysis.
  4. To be able to analyze the mechanical systems with linear or nonlinear material characteristics through finite element modeling.
  5. Learning the isoparametric formulations that able everybody to write his/her own finite element computer program.
  6. To be able to model the characteristics and behavior of dynamics problems using finite element formulation.
Mode of DeliveryFace to face
PrerequisitesNo
Recommended Optional Programme ComponentsNone
Course DescriptionDerivation of finite element analysis equations, weighted residual methods. Introduction to variation mathematics, Variation techniques used in finite element analysis. Galerkin ve Ritz methods, interpolation functions. Basic elements, high degree elements, derivation isoparametric element equation. Analysis of two dimensional, unsteady solid body problems.
Course Contents
WEEK TOPICS
1st Week Introduction to Numerical Analysis Methods
2nd Week Finite element types, definition of rigidity and rod elements
3rd Week Element matrices and forming complete matrices
4th Week Truss systems
5th Week Applications of linear elasticity in finite element method
6th Week Analysis of two dimensional problems
7th Week Examination
8th Week Introduction to variation mathematics
9th Week Variation techniques used in finite element analysis
10th Week Galerkin and Ritz methods, interpolation functions
11th Week Basic elements, high degree elements
12th Week Dynamic system analysis with finite element method
13th Week Derivation isoparametric element equation
14th Week Analysis of two dimensional, unsteady solid body problems
Recommended or Required Readingo J.N.Reddy, An Introduction to the Finite Element Method, McGraw-Hill
o K. H. Huebner, D. L. Dewhirst, D. E. Smith and T. G. Byron, "The Finite Element Method for Engineers", 4th Edition, John Wiley & Sons Inc., New York, 2001.
Planned Learning Activities and Teaching Methods
  • Lecture
  • Questions/Answers
  • Problem Solving
  • Presentation
Assessment Methods and Criteria
Quantity Percentage (%)
Mid-term 1 35
Assignment 4 10
Attendance 1 5
Other 2 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
Individual or group work 14 3 42
Preparation for Final exam 1 35 35
Course hours 14 3 42
Preparation for Midterm exam 1 20 20
Laboratory (including preparation)
Final exam 1 3 3
Homework 4 20 80
Take-home 2 40 80
Total Work Load305
Total Work Load / 30 (h)10.16
ECTS Credit of the Course10
Language of InstructionTurkish
Work Placement(s)No
LO1 LO2 LO3 LO4 LO5 LO6
K1 X X
K2
K3 X X X
K4
K5 X X X X X
K6 X
K7
K8 X
K9
K10
K11 X X X