- Student Records
Programme & Unit Catalogues

MA30253: Continuum mechanics

Follow this link for further information on academic years Academic Year: 2017/8
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: Honours (FHEQ level 6)
Further information on teaching periods Period:
Semester 1
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:
Like-for-like reassessment (where allowed by programme regulations)
Further information on requisites Requisites: Before taking this module you must take MA20223
In taking this module you cannot take MA40065
Further information on descriptions Description: Aims:
To describe the general theory of continuum mechanics, introduce inviscid fluid mechanics and waves.

Learning Outcomes:
Students should be able to explain the basic concepts of continuum mechanics such as stress, deformation and constitutive relations, be able to formulate balance laws.

Numeracy T/F, A
Problem Solving T/F, A
Written Communication F (on problem sheets).

Cartesian Tensors: Orthogonal transformations, rotation of axes, transformations of components, symmetry and skew symmetry. Isotropic tensors.
Kinematics: Transformation of line elements, deformation gradient, Green strain. Linear strain measure. Displacement, velocity, velocity gradient, strain-rate and spin tensor.
Stress: Cauchy stress; relation between traction vector and stress tensor.
Global Balance Laws: Equations of motion, simple constitutive laws.
Inviscid Fluids: Particle paths and streamlines, Reynold's transport theorem, Euler's equations of motion, Bernoulli's equation. Vorticity, circulation and Kelvin's Theorem.
Irrotational incompressible flow; velocity potential, stream function in two-dimensional flow.
Further topics to be chosen from the following.
Complex potential: line sources and vortices. Method of images, Circle theorem, Blasius's Theorem. Conformal mappings, flow past a wing. Water waves, including effects of finite depth and surface tension. Dispersion, simple introduction to group velocity.
Further information on programme availabilityProgramme availability:

MA30253 is Optional on the following programmes:

Department of Mathematical Sciences Department of Physics