
Academic Year:  2014/5 
Owning Department/School:  Department of Mathematical Sciences 
Credits:  6 
Level:  Masters UG & PG (FHEQ level 7) 
Period: 
Semester 2 
Assessment Summary:  EX 100% 
Assessment Detail: 

Supplementary Assessment: 
MA40049 Mandatory Extra Work (where allowed by programme regulations) 
Requisites:  Before taking this unit you must take MA40065 
Description:  Aims: To provide an introduction to the mathematical modelling of the behaviour of elastic materials. Learning Outcomes: Students should be able to derive the governing equations of the theory of elasticity and be able to solve simple problems. Skills: Problem Solving T/F A Written and Spoken Communication F (solutions to exercise sheets, problem classes) Content: Revision: Kinematics of deformation, stress analysis, global balance laws, boundary conditions. Further topics will be chosen from the following: Constitutive laws: Properties of real materials; constitutive law for isotropic elasticity, Lame moduli; field equations of elasticity; Young's modulus, Poisson's ratio. Elastostatics: Strain energy function; uniqueness theorem; Betti's reciprocal theorem, mean value theorems; variational principles, application to composite materials; torsion of cylinders, Prandtl's stress function. Some simple problems of elastostatics: Expansion of a spherical shell, bulk modulus; deformation of a block under gravity; elementary bending solution. Elastodynamics: Basic equations and general solutions; plane waves in unbounded media, simple reflection problems; surface waves. 
Programme availability: 
MA40049 is Optional on the following programmes:Department of Mathematical Sciences
MA40049 is Compulsory on the following programmes:Department of Physics
