BIOE 498/598 JI: Finite Element Methods in Biomedical Systems
|
Week |
Topic |
|
1 |
Chapter 1: Course Overview, Introduction to finite element method, matrix manipulation Chapter 2: One–dimensional linear element TA – Introduction to COMSOL Software (Tutorial Session 1) |
|
2 |
Chapter 3: Introduction to method of weighted residuals Chapter 4: Element matrices: Galerkin formulation TA – Computer Lab (COMSOL Tutorial Session 2) |
|
3 |
1–D Coordinate Systems (from Chapter 6) TA – Computer Lab (Thermal ablation of tissues – photothermal therapy) |
|
4 |
Chapter 5: Modeling two dimensional systems Chapter 5 Continued TA – Computer Lab (Thermal ablation – contd.) |
|
5 |
Chapter 6: 2–D Coordinate system Complete Chapter 6 & Review for Exam 1 Exam#1 – Chapters 1–6 |
|
6 |
Dr. Irudayaraj – Chapter 7, Two–dimensional field equation – heat transfer Examples - Solution to field problems TA - Computer Lab (Tutorial Session 5) |
|
7 |
Chapter 9: Derivative boundary conditions Chapter 9: Derivative boundary conditions (contd.) Computer Lab (Simulation of materials – biosensor applications) |
|
8 |
October Break – no classes Flow problems – Navier Stokes Equation – Derivation of mass and energy balance equations TA - Computer Lab (Modeling of blood flow and effect on arterial wall stiffness) |
|
9 |
Navier-stokes equation - fundamentals Chapter 11: Heat Transfer by conduction and convection TA– Computer Lab (Flow problems) |
|
10 |
Chapter 11: Heat transfer by conduction and convection Chapter 17: The axial force member Computer Lab (Project abstract discussion) |
|
11 |
Chapter 18: Element matrices: Potential Energy Formulations Introduction to Mechanics – Theory of elasticity TA - Computer Lab (Stress Analysis) |
|
12 |
Dr. Irudayaraj – Chapter 20: Beam element Review EXAM#2 – Chapters 7, 11, 17, 18 |
|
13 |
Chapter 22: Theory of Elasticity Chapter 22: Theory of Elasticity (contd.) Computer Lab (Stress analysis – stress contours) |
|
14 |
Chapter 22: Two-dimensional elasticity discussion Thanksgiving – no Classes Thanksgiving – no Classes |
|
15 |
Predicting fracture regions TA – Computer Lab (Stress Analysis, Mesh Refinement) Guest lecture – TBD |
|
16 |
Sample problems Additional Applications of FEA. Last class – Q/A session |
|
Final |
Project Presentations |