14MPMKE - Application of the finite element method in metallurgy and materials engineering

Course specification
Course titleApplication of the finite element method in metallurgy and materials engineering
Study programme
Lecturer (for classes)
Lecturer/Associate (for practice)
Lecturer/Associate (for OTC)
    Condition-Облик условљености
    The goalThe objective of the course is to get the students familiar with the possibilities of application of the finite element method (FEM) in analysis of behaviour of structural materials exposed to thermo-mechanical loading and usage of different mathematical models of material behaviour.
    The outcomeUnderstanding the role of numerical FEM calculations during the lifecycle of structures produced from different materials (design, manufacture, monitoring, redesign, etc.) and enabling the students to apply FEM software packages and data processing software for solving practical problems.
    Contents of lecturesNumerical simulation of behaviour of structural materials exposed to external loading using the finite element method (FEM): history, examples. ; Characteristics of modelling of different material groups (metals, ceramic and composite materials). Defining the material properties within the numerical models - necessary parameters and procedures for their determination. ; Heterogeneous materials and joints - heterogeneity types and usage in FEM models. Composite materials - groups and possibilities for forming of the numerical models. Numerical simulation of the structural materials exposed to thermal loading. Plastic deformation in hot and cold state. ; Influence of strain rate. Influence of impact loading.
    Contents of exercisesPractices include solving of the examples related to the contents of theoretical part of the course, LAB work in the laboratory for FEM numerical computations. ; Determining displacement, strain and stress of the structures produced from different structural materials and exposed to external loading. Thermal loading. Residual stresses. Welded joints testing. ; Simulation of metal forming by plastic deformation processes. Possibilities for decreasing the processing time. 2D and 3D analysis. ; Numerical analysis of material damage and fracture. ; Visualization and manipulation of the results of the FEM simulation.
    1. M. Rakin, B. Međo, Finite Element Method in Materials Engineering (in Serbian, under review), Faculty of Technology and Metallurgy, University of Belgrade
    2. O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu, The Finite Element Method: Its Basis and Fundamentals, 7th Edition, 2013
    3. A. Bower, Applied Mechanics of Solids, CRC Press, 2009.
    4. G.W. Rowe, C.E.N. Sturgess, P. Hartley, I. Pillinger, Finite-Element Plasticity and Metalforming Analysis, Cambridge University Press, 2005.
    5. O.O. Ochoa, J.N. Reddy, Finite Element Analysis of Composite Structures, Kluwer
    6. K.J. Bathe, Finite Element Procedures, Prentice - Hall, 2007.
    7. ABAQUS User s Manuals, Version 6.11, Simulia, 2012.
    Number of hours per week during the semester/trimester/year
    LecturesExercisesOTCStudy and ResearchOther classes
    Methods of teachingLectures and practices in the classroom (using the overhead projector, blackboard, computer and video beam). LAB work: solving the examples using the licensed software package ABAQUS in the laboratory for FEM numerical computations.
    Knowledge score (maximum points 100)
    Pre obligationsPointsFinal examPoints
    Activites during lecturesTest paper50
    Practical lessons30Oral examination