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General


This course is part of the MAGIC core.

Description

This course covers the mathematics and physics underlying continuum mechanics. Emphasis will be on elsasticity and fluid dynamics. The course begins with an in depth review and formulation of vectors and tensors in arbitrary coordinate systems. We then discuss Eulerian (fixed coordinate) and Lagrangian (moving coordinate) descriptions of motion. The lectures will then cover basic principles of elasticity, including stress and strain tensors, Hooke's law, and the Poisson ratio. Load paths and averaging processes for heterogeneous materials will also be considered. The course will move to fluid flows, covering Navier-Stokes equations, and some examples of non-Newtonian fluids.

Semester

Autumn 2016 (Monday, October 3 to Friday, December 9)

Timetable

  • Thu 13:05 - 13:55

Prerequisites

Vector Calculus, Linear Algebra, Newtonian Dynamics

Syllabus

1. Vectors and tensors. Coordinate transformations
2. Metrics. Derivatives of vectors and tensors
3. Deformation: Eulerian and Lagrangian descriptions of motion
4. Stress and strain tensors
5. Linear equilibrium elasticity theory
6. Fluid flow
7. Non-Newtonian fluids

Lecturer


Mitchell Berger
Email m.berger@ex.ac.uk
Phone
vcard
Photo of Mitchell Berger


Students


Photo of Hani Alahmadi
Hani Alahmadi
(Keele)
Photo of Ali Althobaiti
Ali Althobaiti
(Keele)
Photo of Alex Close
Alex Close
(Surrey)
Photo of Michael Foskett
Michael Foskett
(Surrey)
Photo of Petar Hristov
Petar Hristov
(Liverpool)
Photo of Georgia Lynott
Georgia Lynott
(Manchester)
Photo of Puneet Matharu
Puneet Matharu
(Manchester)
Photo of Chinedu Nwaigwe
Chinedu Nwaigwe
(*External)
Photo of Joseph Oloo
Joseph Oloo
(Keele)
Photo of Courtney Quinn
Courtney Quinn
(Exeter)
Photo of Alex Safar
Alex Safar
(Cardiff)
Photo of Anhad Sandhu
Anhad Sandhu
(Exeter)
Photo of Neil Sherborne
Neil Sherborne
(Sussex)
Photo of Tomas Stary
Tomas Stary
(Exeter)
Photo of Leyla Sultanova
Leyla Sultanova
(Keele)
Photo of Daniela Weston
Daniela Weston
(Leeds)
Photo of Peter Wootton
Peter Wootton
(Keele)


Bibliography


Applied Solid MechanicsPeter Howell, Gregory Kozyreff and John Ockendon
Non-Linear Elastic DeformationsR W Ogden
FusionWiki Flux Coordinates
A First Course in Continuum MechanicsO. Gonzalez and A.M. Stuart


Note:

Clicking on the link for a book will take you to the relevant Google Book Search page. You may be able to preview the book there. On the right hand side you will see links to places where you can buy the book. There is also link marked 'Find this book in a library'. This sometimes works well, but not always. (You will need to enter your location, but it will be saved after you do that for the first time.)

Assessment



The assessment for this course will be via a single take-home paper in January with 2 weeks to complete and submit online. There will be 4 questions and you will need the equivalent of 3 questions to pass.

Continuum Mechanics Assignment

Files:Exam paper
Released: Monday 9 January 2017 (74.9 days ago)
Deadline: Tuesday 24 January 2017 (58.9 days ago)
Instructions:

Please do all four problems.



Recorded Lectures


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