MAT-30047 - Introduction to Linear Elasticity
Coordinator: Danila Prikazchikov Tel: +44 1782 7 33414
Lecture Time: See Timetable...
Level: Level 6
Credits: 15
Study Hours: 150
School Office: 01782 733075

Programme/Approved Electives for 2020/21

None

Available as a Free Standing Elective

No

Co-requisites

None

Prerequisites

MAT-20004 CVVC

Barred Combinations

None

Description for 2020/21

This module is suitable for introducing undergraduates to solid mechanics. It covers such topics as strain and stress tensors, constitutive relations, as well as basic aspects of wave propagation in elastic media. Starting from first principles the module provides comprehensive derivations of the results. The module contains carefully chosen examples and exercises, and provides an entry to relevant literature.

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.

Intended Learning Outcomes

describe and utilise the concepts of stress and strain tensors in an elastic solid: 1,2
derive the governing equations of linear elasticity
: 1,2
operate with the constitutive laws of linear isotropic elasticity
: 1,2
formulate and solve boundary value problems in simple domains
: 1,2
solve basic problems for elastic waves propagating in linearly isotropic solids
: 2

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.

School Rules

None

Description of Module Assessment

1: Assignment weighted 20%
Coursework
Online assignment based on a set of problems to solve, covering the material of the first 5 weeks of teaching.

2: Open Book Examination weighted 80%
Online Exam
Open-book online exam of 2 hours. The examination paper will consist of no less than five and no more than eight questions, all of which are compulsory.