Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Finite element method (17.MIT002)

Native organizations units: No data

Type of studies	Title
Undergraduate Academic Studies	Technical Mechanics and Technical Design (Godina: 3, Summer)

General information:

Category	Scientific-professional
Scientific or art field	Mechanics
Interdisciplinary	Yes
ECTS	5

Educational goal:

The main goal is to educate students theoretically and practicaly how to use finite element method in order to solve problemes in mechanical engineering that are described by partial differential equations

Educational outcome:

Students are educated to formulate finite element equations, to make the corresponding computer program for solving these equations and to give a physical interpretation of results.

Course content:

General formulation of the Finite Element Method using the Weak forms in Linear Elasticity: static and dynamics..Displacement and Strain-Displacement ransformation Matrices.Imposition of boundary conditions. Different types of finite elements and shape functions. Siffness matrix. Requirements for Monotonic Convergence. Formulation of isoparametric Finite Element Matrices in local and global coordinate systems. Convergence considerations. Numerical integration. Computer program for Isoparametric Finite Elements. Variational principles in Mechanics. Mixed, and Hybrid Finite Element Models. Computer program for calculation of Structure Matrices. Numerical solution of Finite element Equations: Static and Dynamic analysis. Examples..Basics of application of finite elements to Continuum mechanics.

Teaching methods:

Lectures. Computer practice. Consultations. In lectures, the theoretical part of the course content is presented and complemented by characteristic examples. In practice, additional tasks are completed to broaden the lecture content. Regularly, in previously determined terms, consultations are held every week.

Literature:

Authors	Title	Year	Publisher	Language
Klaus-Jurgen Bathe	Finite Element Procedures	1996	Prentice Hall	English
Sekulović, M.	Metod konačnih elemenata	1988	Građevinska knjiga, Beograd	Serbian language
Zienkiewicz, O.C., Taylor, R.L., Fox, D.D.	The finite element method for solid and structural mechanics	2014	Elsevier, Amsterdam	English