22MIN487 - Introduction to the finite element method
| Course specification | ||||
|---|---|---|---|---|
| Course title | Introduction to the finite element method | |||
| Acronym | 22MIN487 | |||
| Study programme | Metallurgical Enginering | |||
| Module | ||||
| Lecturer (for classes) | ||||
| Lecturer/Associate (for practice) | ||||
| Lecturer/Associate (for OTC) | ||||
| ESPB | 4.0 | Status | ||
| Condition | Mathematics 1 | Облик условљености | ||
| The goal | The objective is to get the students familiar with the basics of the finite element method (FEM), as the most often applied numerical method for solution of problems in materials engineering, as well as to understand the role of FEM in determining the material properties, tracking the behaviour of the material exposed to external loading and development of new materials. | |||
| The outcome | Ability of students to successfully apply the knowledge gained through this course for better understanding of the contents of other courses on the Materials Engineering and Metalurgical Engineering study programs and capability for solving theoretical and practical problems using software packages. | |||
| Contents | ||||
| Contents of lectures | Basis for application of FEM: Interpolation functions - application of interpolation polynomials in one-dimensional, two-dimensional and three-dimensional problems. Types of finite element meshes. Degrees of freedom. Importance of symmetry in models. Numerical integration in FEM - significance and influence on obtained results. Application of software packages in analysis of behaviour of materials exposed to mechanical and thermal loading. Stress and strain field determination using FEM; simulation of elastic deformation, types of nonlinearity, application of different criteria for plastic yielding of materials. Possibilities for simplification of the analysis - application of symmetry conditions and 2D representation in axysimmetric, plane strain or plane stress state. Application of FEM in simulation of steady-state and transient heat conduction. Solving the coupled thermo-mechanical problems. | |||
| Contents of exercises | Practice includes solving of the exercises which illustrate the concepts and their interrelations covered in the theoretical part. Overview of the software packages for FEM computations, overview of modules of the licensed software package ABAQUS. LAB work in the laboratory for FEM numerical computations. Solving the examples: defining the geometry (or importing the geometry from another software), forming the mesh in two-dimensional and three-dimensional analysis, selection of appropriate finite element type, defining the boundary conditions, material properties and model processing. Defining the loading, boundary conditions and initial conditions in thermal problems. Visualization and (postprocessing) manipulation of the computation results: variable fields, diagrams showing change of a variable change during time, along a path or depending on another variable. Postprocessing calculations, analysis of results and report creation. | |||
| Literature | ||||
| ||||
| Number of hours per week during the semester/trimester/year | ||||
| Lectures | Exercises | OTC | Study and Research | Other classes |
| 2 | 1 | |||
| Methods of teaching | Lectures and practices in the classroom (using the video beam and blackboard). LAB work: solving the examples 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 | 15 | Test paper | 35 | |
| Practical lessons | 30 | Oral examination | ||
| Projects | ||||
| Colloquia | 20 | |||
| Seminars | ||||