MAT-30047 - Module Specification
School of Computing and Mathematics
Faculty of Natural Sciences
For academic year: 2022/23 Last Updated: 19 January 2023
MAT-30047 - Introduction to Linear Elasticity
Coordinator: Danila Prikazchikov Tel: +44 1782 7 33414
School Office: 01782 733075
Programme/Approved Electives for 2022/23
Available as a Free Standing Elective
Co-requisites
None
Prerequisites
MAT-20004 CVVC
Barred Combinations
None
Description for 2022/23
Aims
The aims of the module are to introduce students to the mathematical theory of linear elasticity, including the equilibrium equations, geometrical
relations between strain and displacements, together with the stress-strain constitutive relations. The module will demonstrate some of the
applications of this theory and show that there is significant potential for further development.
relations between strain and displacements, together with the stress-strain constitutive relations. The module will demonstrate some of the
applications of this theory and show that there is significant potential for further development.
Intended Learning Outcomes
describe and utilise the concepts of stress and strain tensors in an elastic solid: 1,3
derive the governing equations of linear elasticity
: 2,3
operate with the constitutive laws of linear isotropic elasticity
: 1,3
formulate and solve boundary value problems in simple domains
: 2,3
solve basic problems for elastic waves propagating in linearly isotropic solids
: 3
derive the governing equations of linear elasticity
: 2,3
operate with the constitutive laws of linear isotropic elasticity
: 1,3
formulate and solve boundary value problems in simple domains
: 2,3
solve basic problems for elastic waves propagating in linearly isotropic solids
: 3
Study hours
25 hours lectures.
5 hours practical classes.
120 hours of independent study:
- 80 hours consolidation of the lecture material and working on exercise sheets;
- 10 hours preparation for class tests;
- 30 hours revision for the final examination.
5 hours practical classes.
120 hours of independent study:
- 80 hours consolidation of the lecture material and working on exercise sheets;
- 10 hours preparation for class tests;
- 30 hours revision for the final examination.
School Rules
None
Description of Module Assessment
Coursework
An assignment based on a set of problems to solve, covering the material of the first 5 weeks of teaching.
2: Class Test weighted 15%
40-minute Class test
40-minute class test
3: Unseen Exam weighted 70%
2-hour unseen examination
A 2-hour unseen exam. The examination paper will consist of no less than five and no more than eight questions, all of which are compulsory.