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.
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.