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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 2017 (Monday, October 9 to Friday, December 15)

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
Photo of Mitchell Berger


Students


Photo of Sara Frecentese
Sara Frecentese
(Liverpool)
Photo of Marianthi Moschou
Marianthi Moschou
(Manchester)
Photo of Tom O'Neill
Tom O'Neill
(Surrey)
Photo of Adam Yorkston
Adam Yorkston
(East Anglia)


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:

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Assessment



No assessment information is available yet.

No assignments have been set for this course.

Files


Files marked L are intended to be displayed on the main screen during lectures.

Week(s)File
0CM Exercises 1.pdfL
0Continuum Mechanics 2.pdfL
0ContinuumMechanics1.pdfL


Recorded Lectures


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