22D39 - Finite element method in materials engineering
Course specification | ||||
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Course title | Finite element method in materials engineering | |||
Acronym | 22D39 | |||
Study programme | Biochemical Engineering and Biotechnology,Material Engineering,Metallurgical Enginering | |||
Module | ||||
Lecturer (for classes) | ||||
Lecturer/Associate (for practice) | ||||
Lecturer/Associate (for OTC) | ||||
ESPB | 5.0 | Status | ||
Condition | - | Облик условљености | ||
The goal | The objective of the course is gaining knowledge and mastering the skills of finite element modelling using licensed software. | |||
The outcome | Students develop independence in other teaching and working tasks, especially in solving the complex problems. | |||
Contents | ||||
Contents of lectures | Introduction 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 exercises | LAB 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 | ||||
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Number of hours per week during the semester/trimester/year | ||||
Lectures | Exercises | OTC | Study and Research | Other classes |
3 | 1 | |||
Methods of teaching | Lectures 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 obligations | Points | Final exam | Points | |
Activites during lectures | 10 | Test paper | ||
Practical lessons | 25 | Oral examination | 35 | |
Projects | ||||
Colloquia | ||||
Seminars | 30 |