Continuum Biomechanics

    Term: Fall 2004
    Course: BE/MEAM 455
    Day/Time: Mondays & Wednesdays 3:00--4:30 PM, Towne 303

    Instructor

    George Biros email: biros@seas.upenn.edu

    Class description

    Biological and non-biological systems are both subject to several basic physical balance laws of broad engineering importance. Fundamental conservation laws are introduced and illustrated using examples from animate as well as inanimate systems. Topics include kinematics of deformation, the concept of stress, conservation of mass, momentum, and energy. Mechanical constitutive equations for fluids, solids, and intermediate types of media are described and complemented by hands-on experimental and computational laboratory experiences. Practical problem-solving using numerical methods will be introduced. Topics covered: -(1)- Mathematics and continuum mechanics: Tensor analysis, Deformation and Strain, Conservation Laws, Invariance; Constitutive Laws (Elastic Solids, Newtonian Fluids), bending and buckling, fluid-solid interaction. -(2)- Biomechanics: Arterial wall mechanics, heart valves, blood rheology, biopolymer mechanics, cytoskeleton, tissue engineering, remodeling and growth, -(3)- Numerical methods: Introduction to MATLAB and Finite Element Methods.

    Grading

    Homeworks (70%), midterm (10%) and final project (20%).

    Textbooks

    • YC Fung, A First Course in Continuum Mechanics
    • YC Fung, Biomechanics: Mechanical Properties of Living Tissues

    Prerequisites

    Statics, linear algebra, and differential equations

    Old web site

    fall 2000