Information for MATH 35021: Elasticity

This page contains notes, links and exercises for the course MATH 35021

Course Description (Outline)

This course unit gives an introduction to the linearised theory of elasticity from a mathematical standpoint. A typical problem of the subject is as follows: an elastic body (e.g. an underground oil pipe) is subjected to a given loading on its outer surface. What is the consequent stress distribution generated throughout the body? Does this stress distribution have unexpectedly large values that might lead to failure? The subject is developed from first principles, requiring only the knowledge of basic calculus and linear algebra.

Lecture Notes

Summary of the course (pdf)
Reading week material (pdf)

Examples Sheets and Solutions

Examples Sheet 1 (pdf) Solutions (pdf)
Examples Sheet 2 (pdf) Solutions (pdf)
Examples Sheet 3 (pdf) Solutions (pdf)
Examples Sheet 4 (pdf) Solutions (pdf)
Examples Sheet 5 (pdf) Solutions (pdf)
Examples Sheet 6 (pdf) Solutions (pdf)
Examples Sheet 7 (pdf) Solutions (pdf)
Examples Sheet 8 (pdf) Solutions (pdf)
Examples Sheet 9 (pdf) Solutions (pdf)

Past Exam Papers

Reading List

It is not necessary to buy any books. Your lecture notes will be completely sufficient. That said, you may find the alternative perspectives in books helpful. If you are interested, have a look in the library in the continuum mechanics section. Particular favourites of mine are:

Theoretical Elasticity by Green & Zerna.
Classical & Computational Solid Mechanics by Fung & Tong
Mathematical models in the applied sciences, Chapter 7 by Fowler.