| 1 | <p>Have knowledge of the mathematical tools and language used in continuum and computational mechanics, including tensors, coordinate transformations and eigenvalue analysis</p> | |
| 2 | <p>Be able to understand, demonstrate and apply concepts of kinematics, the description of motion, displacement, deformation and strain, including: Material coordinates, Spatial coordinates, motion, deformation gradient, linear approximations, homogeneous deformations, shear, stretch, rotation, rigid rotations, Polar decomposition, multiplicative decomposition, linear strain, Displacement, displacement gradient, 2D strains and rotations, strain-displacement relations, compatibility, principal strains.</p> | |
| 3 | <p>Be able to understand and apply concepts of force transmission in physical systems, including the stress tensor, equilibrium and the equations governing continuum mechanics, internal stress, traction, the stress matrix, the stress tensor, Cauchy's Law, principal stress, surface forces, body forces, equations of motion, equations of equilibrium.</p> | |
| 4 | <p>Be able to understand and apply in the solution of problems of static elasticity: material models, linear elasticity, linearised kinematics, isotropy, elastostatics, Navier's equations, plane stress, plane strain, stress function, axisymmetric problems, pressurised cylinders, rotating discs, stress concentrations.</p> | |
| 5 | <p>Understand and apply the basic equations of fluid dynamics, including the Stokes and Navier-Stokes equations and the derivation of fundamental solutions. Describe the continuum hypothesis for fluids, explain the difference between an Eulerian and Langrangian description of a fluid flow. Define and explain total and advective acceleration.</p> | |
| 6 | <p>Be able to derive the flow field for viscous flows in simple situations, such as thin film flow down a slope, or viscous channel\\pipe flow.</p> | |
| 7 | <p>Be able to calculate relatively complex irrotational flows, such as that around a circular cylinder, by superpositioning simple irrotational flow solutions, such as Point Sources, Line Vortices, Uniform Flow; find the surface pressure using the Bernoulli equation; Integrate surface pressure components to evaluate forces. Be able to explain the Magnus Effect and D’Alembert’s Paradox.</p> | |
| 8 | <p>Be able to calculate and explain the behaviour of a hydraulic jump; use the Mach number to check for compressibility effects; find the wave speed in a propagation problem and use the compressible form of the Bernoulli Equation.</p> | |
| 9 | <p>Be able to (for Boundary Layers) calculate thickness, momentum thickness, displacement thickness; use Blasius solution to calculate the skin drag on a flat surface; describe flow separation.</p> | |