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This course is part of the MAGIC core.


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.


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


  • Thu 13:05 - 13:55


Vector Calculus, Linear Algebra, Newtonian Dynamics


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


Mitchell Berger
Photo of Mitchell Berger


Photo of Hani Alahmadi
Hani Alahmadi
Photo of Ali Althobaiti
Ali Althobaiti
Photo of Alex Close
Alex Close
Photo of Michael Foskett
Michael Foskett
Photo of Petar Hristov
Petar Hristov
Photo of Georgia Lynott
Georgia Lynott
Photo of Puneet Matharu
Puneet Matharu
Photo of Chinedu Nwaigwe
Chinedu Nwaigwe
Photo of Joseph Oloo
Joseph Oloo
Photo of Courtney Quinn
Courtney Quinn
Photo of Alex Safar
Alex Safar
Photo of Anhad Sandhu
Anhad Sandhu
Photo of Neil Sherborne
Neil Sherborne
Photo of Tomas Stary
Tomas Stary
Photo of Leyla Sultanova
Leyla Sultanova
Photo of Daniela Weston
Daniela Weston
Photo of Peter Wootton
Peter Wootton


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


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.)


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 (223.2 days ago)
Deadline: Tuesday 24 January 2017 (207.2 days ago)

Please do all four problems.

Recorded Lectures

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