# Continuum Phenomena in Biomedical Engineering

Syllabus – Intro_Continuum_Course_Outline_F18_v5

Reading – Coefficient of Variation and Sensitivity in Modeling (Cook et al., 2014) – Cook_sensitivity_analysis_review_2014_with_highlights

Handout – What is a continuum? – Definition_of_a_Continuum

Lecture 1: Pressure, temperature, candy, and bone

Homework 1 – Due 11:59 pm 8/31/2018 – HW1

Homework 1 Solution – F18_HW1_Solution

Lecture 3: Vectors and one particular differential operator (“Del” as opposed to “Del the Funky Homosapien”)

Some important vector papers – Hui_Sher_Bone_Fluid_Conductance_1996Kang_FRAP_Coefficients_small_2012,

Lecture 4: Introduction to Tensors. Just enough to get us going.

Homework 2 – F18_HW02

Homework 2 Solution – HW02_Solution_Updated

Lecture 5: Introduction to Motion and Mappings

Solution to Homework 6!!: F18_HW06_Solutions

Homework 3: This one will take a little time F18_HW03

Homework 3 Solution – F18_HW03_Solution

Lecture 7: Stress

Homework 4: Lots of stress – F18_HW04

Homework 4: Solution – F18_HW04_Solution

Lecture 9: Introduction to Fluid Flow

Fluids Handout – Biofluids_Worksheets_v2

Homework 5: Fluids – F18_HW05

Homework 5: Solution – F18_HW05_Solution

Lecture 11: Fluids in Polar Coordinates

Homework 6: F18_HW06

Homework 6 Solution (part 1): F18_HW06_Solutions_part_1

Homework 6 Solution (part 2): F18_HW06_Solutions_part_2

Lecture 14: Introduction to Solid Mechanics

Lecture 15: Solid Mechanics and the Archetypal Motions

Lecture 16: Constitutive Laws

Homework 7: F18_HW07

Data for homework 7: bc_mcl_data

Great resource for solid mechanics. One of the best thesis theory sections ever: Galle_chapter_3_scanned

Designing a sensor to measure compression and shear and high strains!!

Lecture 18: Intro to the sensor

Lecture 19: Working out the math

Lecture 20: Introduction to viscoelasticity

Lecture 21: Applying viscoelastic models correctly!

The Pioletti paper: Pioletti_strain_rate_effect_1999

Solution to the Spherical Tensor Problem: Spherical_Tensor_Solution

Homework 8: F18_HW08

Homework 9: F18_HW09

Partial Solution to Homework 9: F18_HW09_Problems_1_3_Solution

Lecture 22 – Constitutive Laws

Lecture 23 – Diffusion Equation

Lecture 24 – Wave Equation

Lecture 25 – Laplace Equation

Exam 3 covers all the strain energy work – up through lecture 22. Lecture 25 was just a review of the concepts we’ve talked about and the homeworks. There aren’t any posted solutions to homeworks 7 and 8 because we did all that in class or it was in the handouts (Galle’s paper and her Chapter 3 masterpiece).

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