BIOE 498/598 JI: Finite Element Methods in Biomedical Systems

Course Information

 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