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Module Title LM Continuum Mechanics
SchoolMathematics
Department Mathematics
Module Code 06 27716
Module Lead Dr Chris Good
Level Masters Level
Credits 20
Semester Full Term
Pre-requisites LI Differential Equations - (06 25670) LI Multivariable & Vector Analysis - (06 25667)
Co-requisites
Restrictions Students are prohibited from taking the LH Continuum Mechanics module in combination with this module
Exclusions
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 will stand as an introduction to the subject in its own right and also as an introduction to more advanced material at level M.
Learning Outcomes By the end of the module students should be able to:
  • Describe the deformation and stress in an elastic solid or fluid
  • Solve simple problems involving these continua
  • Realise which effects play a role in the motion of a fluid
  • Describe the flow (velocities and pressures) in certain configurations, for example, the flow around a cylinder, sphere and aerofoil.
Students taking the module at Level M will explore the subject beyond the taught syllabus.
Assessment 27716-01 : Raw Module Mark : Coursework (100%)
Assessment Methods & Exceptions Assessment: 90% on one three hour examination; 10% from coursework and/or class tests.
Reassessment: 100% on one three hour examination.
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