376-1712-00L Finite Element Analysis in Biomedical Engineering
Semester | Spring Semester 2020 |
Lecturers | S. J. Ferguson, B. Helgason |
Periodicity | yearly recurring course |
Language of instruction | English |
Courses
Number | Title | Hours | Lecturers | ||||
---|---|---|---|---|---|---|---|
376-1712-00 V | Finite Element Analysis in Biomedical Engineering | 2 hrs |
| S. J. Ferguson, B. Helgason |
Catalogue data
Abstract | This course provides an introduction to finite element analysis, with a specific focus on problems and applications from biomedical engineering. |
Learning objective | Finite element analysis is a powerful simulation method for the (approximate) solution of boundary value problems. While its traditional roots are in the realm of structural engineering, the methods have found wide use in the biomedical engineering domain for the simulation of the mechanical response of the human body and medical devices. This course provides an introduction to finite element analysis, with a specific focus on problems and applications from biomedical engineering. This domain offers many unique challenges, including multi-scale problems, multi-physics simulation, complex and non-linear material behaviour, rate-dependent response, dynamic processes and fluid-solid interactions. Theories taught are reinforced through practical applications in self-programmed and commercial simulation software, using e.g. MATLAB, ANSYS, FEBIO. |
Content | (Theory) The Finite Element and Finite Difference methods Gallerkin, weighted residuals, discretization (Theory) Mechanical analysis of structures Trusses, beams, solids and shells, DOFs, hand calculations of simple FE problems, underlying PDEs (Application) Mechanical analysis of structures Truss systems, beam systems, 2D solids, meshing, organ level analysis of bones (Theory and Application) Mechanical analysis of structures Micro- and multi-scale analysis, voxel models, solver limitations, large scale solvers (Theory) Non-linear mechanical analysis of structures Large strain, Newton-Rhapson, plasticity (Application) Non-linear mechanical analysis of structures Plasticity (bone), hyperelasticity, viscoelasticity (Theory and Application) Contact analysis Friction, bonding, rough contact, implants, bone-cement composites, pushout tests (Theory) Flow in Porous Media Potential problems, Terzhagi's consolidation (Application) Flow in Porous Media Confined and unconfined compression of cartilage (Theory) Heat Transfer and Mass Transport Diffusion, conduction and convection, equivalency of equations (Application) Heat Transfer and Mass Transport Sequentially-coupled poroelastic and transport models for solute transport (Theory) Computational Biofluid Dynamics Newtonian vs. Non-Newtonian fluid, potential flow (Application) Computational Biofluid Dynamics Flow between micro-rough parallel plates |
Lecture notes | Handouts consisting of (i) lecturers' script, (ii) selected excerpts from relevant textbooks, (iii) selected excerpts from theory manuals of commercial simulation software, (iv) relevant scientific publications. |
Prerequisites / Notice | Familiarity with basic numerical methods. Programming experience with MATLAB. |
Performance assessment
Performance assessment information (valid until the course unit is held again) | |
Performance assessment as a semester course | |
ECTS credits | 3 credits |
Examiners | S. J. Ferguson, B. Helgason |
Type | session examination |
Language of examination | English |
Repetition | The performance assessment is offered every session. Repetition possible without re-enrolling for the course unit. |
Mode of examination | written 120 minutes |
Additional information on mode of examination | Exam counts 70% 15% each include two mandatory tasks (problem solving and programming) with a small report Prüfung zählt 70% je 15% zählen zwei obligatorische Aufgaben (Problemlösung und Programmierarbeit) mit einem kleinen Bericht |
Written aids | None |
This information can be updated until the beginning of the semester; information on the examination timetable is binding. |
Learning materials
Main link | Moodle course page |
Only public learning materials are listed. |
Groups
No information on groups available. |
Restrictions
There are no additional restrictions for the registration. |