D112 - Finite element method in materials engineering
Course specification | ||||
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Course title | Finite element method in materials engineering | |||
Acronym | D112 | |||
Study programme | ||||
Module | ||||
Lecturer (for classes) | ||||
Lecturer/Associate (for practice) | ||||
Lecturer/Associate (for OTC) | ||||
ESPB | 4.0 | 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. Comparison of FEM and other numerical and analytical methods. Application of matrix calculus in representation of stress and strain fields. Discretization of domain and application in materials engineering. Basic shapes and types of finite elements. Determining the stiffness matrix. Interpolation functions - isoparametric formulation. Numerical integration. Solving linear problems in materials engineering. Representation of thermal loads. Influence of material anisotropy, Geometry non-linearity - contact problems. 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. Basics of FEM in fluid mechanics - interaction of fluid and deformable body. | |||
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.); Defining the properties of fiber-reinforced laminate composite materials; Dependence of yield strength on temperature and strain rate (Johnson-Cooke law - application in simulation of material joining by welding); Modelling damage development in the material (crack growth tracking, extended FEM); Examples of failure analyses of process equipment components using FEM; Simulation of fluid flow by the finite element method. Submodelling as a technique for more efficient use of computer resources. | |||
Literature | ||||
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Number of hours per week during the semester/trimester/year | ||||
Lectures | Exercises | OTC | Study and Research | Other classes |
2 | 2 | |||
Methods of teaching | Lectures 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 obligations | Points | Final exam | Points | |
Activites during lectures | 10 | Test paper | ||
Practical lessons | 25 | Oral examination | 35 | |
Projects | ||||
Colloquia | ||||
Seminars | 30 |