At the end of this course, the students; 1) Will be able to acquire the fundamentals of finite element method. 2) 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. 3) Will be able to apply the method for the numerical solution of various engineering problems.
MODE OF DELIVERY
Face to face
PRE-REQUISITES OF THE COURSE
No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
None
COURSE DEFINITION
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
1st Week
Basic Concepts of the Decimal Element Method
2nd Week
One-Dimensional (1-D) Finite Elements
3rd Week
One-Dimensional (1-D) Finite Elements
4th Week
Two Dimensional (2-D) Finite Elements
5th Week
Two Dimensional (2-D) Finite Elements
6th Week
1-D and 2-D Co-Parameter Elements and Numerical Integration
7th Week
1-D and 2-D Co-Parameter Elements and Numerical Integration
8th Week
MIDTERM
9th Week
Axially Symmetrical Elements
10th Week
Three Dimensional Elements
11th Week
Formulation of Solid Mechanics Problems
12th Week
Formulation of Heat Transfer Problems. Formulation of Fluid Mechanics Problems
13th Week
Numerical Solution of Finite Element Equations, Preprocessing and Postprocessing
14th Week
Error Analysis and Applications
RECOMENDED 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.
