Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Selected chapters on FEM (17.GD011)

Native organizations units: Department of Civil Engineering

Type of studies	Title
Doctoral Academic Studies	Civil Engineering (Godina: 2, Winter)

General information:

Category	Scientific-professional
Scientific or art field	Theory of Construction
Interdisciplinary	No
ECTS	10

Educational goal:

Acquiring of knowledge on expert level in the field of numerical modelling of structure behavior using finite elements method (FEM) with the aim of applying, evaluating, and developing FEM and FEM software for structural analysis.

Educational outcome:

The ability of numerical modelling of structure behaviour using finite elements method (FEM). with the aim of applying, evaluating, and developing FEM and FEM software for structural analysis.

Course content:

Modelling and numerical modelling of structures. The importance of finite elements method (FEM) in continuum mechanics. Historical development of FEM. Various types of FEM. Algorithm concept of FEM modelling. Geometric modelling – discretization. Numeric modelling – approximation. Forms and types of finite elements (FE). Interpolation functions. Conformity and continuity. Linear, surface and space FE. FE stiffness matrix. FE mesh and systems. Boundary and interface conditions. Matrices of FE system. FEM system of equations. Existence and error of FEM solution. FEM modelling in nonlinear and dynamic structural analysis. Computer implementation of FEM.

Teaching methods:

Interactive work with students aimed at continual supervision of their level of knowledge. Theoretical analysis of the phenomena covered by the course material and FEM numerical modelling of structures for two different actions using CASA (Computer Aided

Literature:

Authors	Title	Year	Publisher	Language
Hartmann F., Katz C.	Structural Analysis with Finite Elements	2003	Springer, New York	English
Bathe K.J.	Finite Element Procedures	1996	Prentice Hall	English
Sekulović, M.	Metod konačnih elemenata	1988	Građevinska knjiga, Beograd	Serbian language
Wilson E.L.	Three-Dimensional Static and Dynamic Analysis of Structures	2002	CSI, Berkeley	English
Dušan Kovačević	MKE modeliranje u analizi konstrukcija	2006	Građevinska knjiga, Beograd	Serbian language