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Credit: 1 course unit
Elective course
Catalog
description:
The course is intended as an introduction to continuum mechanics
in both solid and fluid media, with special emphasis on the applications
to biomedical engineering. Once basic principles are established,
the course will cover more advanced concepts in biosolid
mechanics that include computational mechanics and bio-constitutive
theory. Applications of these advanced concepts to current research
problems will be emphasized.
Prerequisites:
Math through 241; BE350, BE324 as pre- or corequisites
Textbook(s) and/or
other required materials:
Fung, Y.C., A first course in continuum mechanics, Prentice Hall, 3rd
edition
Course Objectives:
This course will cover at an intermediate to advanced level mechanics
methods and biomechanics applications and fundamentals of finite element
analysis. The course will focus stress strain and deformation analysis,
the governing mathematical model and equations for solids fluids and viscoelasticity and applications hard and soft
tissues and Biofluid mechanics. This course is
intended to support the prime objective of integrating classical
mechanical engineering with biomechanics application within a
physiological context.
Topics Covered:
- Cartesian Tensors
- Analysis of Stress
- Deformation Analysis
- Antiplane strain and torsion
- Plane strain and plane stress
- Constitutive equations for solids and
fluids
- Energy Theorems and Finite element
analysis (fundamentals)
- Viscoelasticity (3 weeks)
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Time
dependent behavior:
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Creep,
relaxation, recovery – classical models
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Creep
compliance, modulus
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Boltzmann
superposition principle
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Hereditary
integrals
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Applications
to hard and soft tissues – Quasi-linear viscoelasticity
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Viscoelastic stress
analysis – application to boundary value problems
- Applications to Biosolid
mechanics
Class/Laboratory
schedule:
Lecture – 3 hrs/week
Contribution
towards Professional Component:
100% Engineering science
Contribution
towards Program Outcomes:
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Multidisciplinary
Ability
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Med.
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Problem Solving
Approach
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High
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Problem Solving
Methods
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Low
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Experimentation
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Low
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Design
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Low
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Professional
Orientation
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Low
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Person preparing
description and date:
John Schotland
July 2007
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