Continuum Mechanics

School of Mathematics

College of Engineering and Physical Sciences


Code 22486

Level of study Third/Final year

Credit value 20

Semester Students may study either 1 or both.

Pre-requisite modules 22488,22504

Module description

Elsewhere in the programme, a study of particle and rigid body dynamics was made. In this module, we consider the case when the number of particles tends to infinity, with relative motion between the particles. This course will develop the idea of a continuum and study the deformation, strain and stress of both elastic and fluid continua. A preliminary survey of the physical properties of common elastic solids and fluids will be followed by a development of the appropriate strain and stress tensors and general conservation laws. Simple examples of deformation such as uniaxial tension and torsion in elastic solids will be given. This module also contains the derivation and solution of the equations which govern the motion of fluids. The module uses the solution of partial differential equations and exploits complex variable theory in order to describe some quite involved flows. This module will stand as an introduction to the subject in its own right and also as an introduction to the more advanced material at Level M.

Teaching and learning methods