Aeronautical Engineering (MEng)
· To introduce advanced concepts in the application of the finite element method to the analysis of aerostructures.
· To introduce the basics of non-linear structural analysis and relevant solution methods based on the finite element method.
· To introduce the Boundary Element Method for two-dimensional potential, elastostatic and acoustic problems.
Knowledge and understanding
On successfully completing this course unit, students will be able to:
• understand the concept of geometric and material non-linearity in structural analysis.
• understand how non-linearity is treated within a finite element computer program.
• understand fundamental concepts in the derivation of the boundary element method.
governing partial differential equations and associated boundary conditions.
Formulation Methods: Governing equations, virtual work, potential energy and associated variational techniques, e.g. Hellinger-Reissner, illustrated using 1-D element modelling.
Boundary Element Method: An Introduction to the Boundary Element Method: Overview of the boundary element method, main differences from the finite element method
Boundary Element Method for 2-D Potential Problems: Derivation of the boundary element method, fundamental solutions, discretisation strategy, infinite and semi-infinite regions.
Boundary Element Method for 2-D Elastostatic Problems: Derivation of the boundary element method, fundamental solutions, evaluation of boundary and interior stresses.
Boundary Element Method for 2-D Acoustic Problems: Derivation of the boundary element method, fundamental solutions, eigenvalue analysis.
Finite-element modelling of plates and shells: Eight-node isoparametric plate element; consistent pressure loading in fluid-structure interaction problems; modelling constraints.
Introduction to nonlinear problems in structural analysis: Type of structural nonlinearities; geometrically-nonlinear beams; basic solution procedures based on the Newton-Raphson method.
Finite stress and finite strain: Green and Almansi strain; Cauchy and second Piola-Kirchhoff stress; Nonlinear static equilibrium; tangent stiffness matrix; buckling of rods using a finite-elements solution process.
Elastic-plastic Analysis: Stress invariants; Deviatoric stress; Yielding criteria; plastic flow.
AERO96003 Finite Elements
Lectures and tutorials. There are class notes for this module.
2 hour written examination in January (85%),
one coursework assignment (15%)
1 x Progress test (peer marked)
2nd ed., Wiley
4th ed., Wiley