BE455/MEAM455  Continuum Biomechanics

Bioengineering Undergraduate Program

 

 

 

 

Credit: 1 course unit

 

Elective course

 

Catalog 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.

 

Prerequisites:

 

Statics, linear algebra, and differential equations

 

 Textbooks:

 

YC Fung, A First Course in Continuum Mechanics

YC Fung, Biomechanics: Mechanical Properties of Living Tissues

 

 Course Objectives:

 

The course is a senior-level elective for students interested in continuum mechanics theory and its application to living tissue modeling. (Juniors can enroll with instructor permission) Students will be exposed to applied mathematics ( theory and numerical methods) and will learn how to integrate analysis computation and mechanics.

 

Topics covered:

 

·        Mathematics and continuum mechanics: Tensor analysis, Deformation and Strain, Conservation Laws, Invariance;Constitutive Laws (Elastic Solids, Newtonian Fluids), bending and buckling, fluid-solid interaction

·        Biomechanics: Arterial wall mechanics, heart valves, blood rheology, biopolymer mechanics, cytoskeleton regeneration, tissue engineering

 

Class/Laboratory Schedule:

 

Lecture: 3 hr/week

 

Contribution towards Professional Component:

 

100% Engineering science 

 

Contribution towards Program Outcomes:

 

Multidisciplinary Ability

High

Problem Solving Approach

High

Problem Solving Methods

Med.

Experimentation

Low

Design

Low

Professional Orientation

Low

 

Person Preparing Description and Date:

 

George Biros

July 2007