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MA40049: Elasticity

Follow this link for further information on academic years Academic Year: 2016/7
Further information on owning departmentsOwning Department/School: Department of Mathematical Sciences
Further information on credits Credits: 6      [equivalent to 12 CATS credits]
Further information on notional study hours Notional Study Hours: 120
Further information on unit levels Level: Masters UG & PG (FHEQ level 7)
Further information on teaching periods Period:
Semester 2
Further information on unit assessment Assessment Summary: EX 100%
Further information on unit assessment Assessment Detail:
  • Examination (EX 100%)
Further information on supplementary assessment Supplementary Assessment:
MA40049 Mandatory Extra Work (where allowed by programme regulations)
Further information on requisites Requisites: Before taking this module you must take MA40065
Further information on descriptions 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.
Further information on programme availabilityProgramme availability:

MA40049 is Compulsory on the following programmes:

Department of Physics
  • USXX-AFM01 : MSci(Hons) Mathematics and Physics (Year 4)
  • USXX-AAM01 : MSci(Hons) Mathematics and Physics with Study year abroad (Year 5)
  • USXX-AKM01 : MSci(Hons) Mathematics and Physics with Year long work placement (Year 5)

MA40049 is Optional on the following programmes:

Department of Mathematical Sciences Department of Physics

Notes: