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22D39 - Finite element method in materials engineering

Course specification
Course titleFinite element method in materials engineering
Acronym22D39
Study programmeBiochemical Engineering and Biotechnology,Material Engineering,Metallurgical Enginering
Module
Lecturer (for classes)
Lecturer/Associate (for practice)
Lecturer/Associate (for OTC)
    ESPB5.0Status
    Condition-Облик условљености
    The goalThe objective of the course is gaining knowledge and mastering the skills of finite element modelling using licensed software.
    The outcomeStudents develop independence in other teaching and working tasks, especially in solving the complex problems.
    Contents
    Contents of lecturesIntroduction to the finite element method (FEM) theory. Development of FEM. Errors and convergence of the solution. Virtual work principle. Discretization of domain and application in materials engineering. Determining the stiffness (system) matrix in different physical problems. Finite elements and interpolation functions - isoparametric formulation. Solving linear problems in materials engineering. Representation of thermal loads. Influence of material anisotropy, Geometry non-linearity - contact problems and application of non-deformable bodies in calculations. Constitutive equations for nonlinear material behaviour. Heterogeneous materials, problem of porosity. FEM in analysis of material damage - application to components of process equipment exposed to complex thermomechanical loading. Modelling of deformation and fracture of biomaterials.
    Contents of exercisesLAB and study research work will consist of exercises which include application of different constitutive models of materials exposed to external loading; this part of the course will be conducted using the licensed software package ABAQUS in the laboratory for FEM numerical computations: Types of elasticity and plasticity (linear/non-linear, isotropic/anisotropic, etc.). Dependence of material properties on temperature and strain rate (Johnson-Cooke law - application in simulation of material joining by welding). Application of plate and shell elements in deformation analysis of thin-walled structures. Defining the properties of fiber-reinforced laminate composite materials. Modelling of damage development in the material (crack growth tracking, application of micromechanical models, extended FEM). Examples of failure analyses of process equipment components using FEM; Submodelling as a technique for more efficient use of computer resources - examples of application and limitations.
    Literature
    1. M. Rakin, B. Međo, Finite Element Method in Materials Engineering (in Serbian), Faculty of Technology and Metallurgy, University of Belgrade, 2014.
    2. O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu, The Finite Element Method: Its Basis and Fundamentals, 7th Edition, 2013
    3. S.S. Rao, The Finite Element Method in Engineering, Fourth ed., Pergammon Press, 2004
    4. M. Kojić, N Filipović, B. Stojanović, N. Kojić, Computer Modeling in Bioengineering, Wiley, 2008
    5. E. Barbero, Finite Element Analysis of Composite Materials, CRC Press, 2007.
    Number of hours per week during the semester/trimester/year
    LecturesExercisesOTCStudy and ResearchOther classes
    31
    Methods of teachingLectures and practices in the classroom (using the video beam and blackboard). solving the problems using the licensed software package ABAQUS in the laboratory for FEM numerical computations.
    Knowledge score (maximum points 100)
    Pre obligationsPointsFinal examPoints
    Activites during lectures10Test paper
    Practical lessons25Oral examination35
    Projects
    Colloquia
    Seminars30