|
 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
MA40049 is Optional on the following programmes:Department of Mathematical Sciences
|