Academic Year:
 2015/6 
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 module 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 Compulsory on the following programmes:
Department of Physics
 USXXAFM01 : MSci(Hons) Mathematics and Physics (Year 4)
 USXXAAM01 : MSci(Hons) Mathematics and Physics with Study year abroad (Year 5)
 USXXAKM01 : MSci(Hons) Mathematics and Physics with Year long work placement (Year 5)
MA40049 is Optional on the following programmes:
Department of Mathematical Sciences
 USMAAFB15 : BSc(Hons) Mathematical Sciences (Year 3)
 USMAAAB16 : BSc(Hons) Mathematical Sciences with Study year abroad (Year 4)
 USMAAKB16 : BSc(Hons) Mathematical Sciences with Year long work placement (Year 4)
 USMAAFB13 : BSc(Hons) Mathematics (Year 3)
 USMAAAB14 : BSc(Hons) Mathematics with Study year abroad (Year 4)
 USMAAKB14 : BSc(Hons) Mathematics with Year long work placement (Year 4)
 USMAAFM14 : MMath(Hons) Mathematics (Year 3)
 USMAAFM14 : MMath(Hons) Mathematics (Year 4)
 USMAAAM15 : MMath(Hons) Mathematics with Study year abroad (Year 4)
 USMAAKM15 : MMath(Hons) Mathematics with Year long work placement (Year 4)
 USMAAKM15 : MMath(Hons) Mathematics with Year long work placement (Year 5)
 USMAAFB01 : BSc(Hons) Mathematics and Statistics (Year 3)
 USMAAAB02 : BSc(Hons) Mathematics and Statistics with Study year abroad (Year 4)
 USMAAKB02 : BSc(Hons) Mathematics and Statistics with Year long work placement (Year 4)
 TSMAAFM09 : MSc Mathematical Sciences
 TSMAAPM09 : MSc Mathematical Sciences
 TSMAAFM08 : MSc Modern Applications of Mathematics
 TSMAAWM14 : MSc Modern Applications of Mathematics
 USMAAFB05 : BSc(Hons) Statistics (Year 3)
 USMAAAB06 : BSc(Hons) Statistics with Study year abroad (Year 4)
 USMAAKB06 : BSc(Hons) Statistics with Year long work placement (Year 4)
Department of Physics
 USXXAFB03 : BSc(Hons) Mathematics and Physics (Year 3)
 USXXAAB04 : BSc(Hons) Mathematics and Physics with Study year abroad (Year 4)
 USXXAKB04 : BSc(Hons) Mathematics and Physics with Year long work placement (Year 4)
