Finite Element Analysis and Materials Modelling

Module leader

Dr Alex Skordos

 

Aim

This module introduces the principles and practice of Finite Element analysis and the modelling of materials in numerical analysis.

Syllabus

  • Introduction: General overview of the technique, Finite Element types (bars, beams, 2D, 3D, plate and shell elements), pre- and post- processing, basic terminology, range of applications, basic introduction to materials modelling. One-dimensional FE modelling for linear elasticity. Modelling of trusses and frames. Multidimensional FE modelling. Constitutive models in FE codes. FE modelling for heat transfer problems. FE modelling for field problems.
  • FE model development: Element types and their derivation (constant and higher order elements, element derivation via shape functions), assembly of stiffness matrices, loading and boundary conditions, material models, convergence. Advanced FE Techniques: Modelling of two and three dimensional problems, buckling, nonlinear and contact analysis, advanced non-linear material models including failure and damage, Explicit methods for dynamic problems.
  • Guidelines for efficient practice: FE modelling accuracy, efficient meshing techniques, shape functions, convergence and model validation.
  • Basic theory and application of the IDEAS FE package. Introduction and application of the LUSAS FE package. One, two and three dimensional meshing and analysis. Mapped versus free meshing. Symmetry considerations. Definition of boundary conditions and loading. Steady state heat transfer. Transient heat transfer. Applications in the automotive and aerospace industries. Analysis of isotropic and anisotropic solids, elasto-plastic and other non-linear materials.

Intended learning outcomes

On successful completion of this module the student will be able to:

  1. have a basic understanding of Finite Element analysis and its use.
  2. be aware of the considerations required for modelling a component, including selection of the correct element type, material model, loading and boundary conditions.
  3. be aware of the limitations associated with the use of Finite Element modelling.
  4. have a basic knowledge of how to interpret results obtained from FE analysis.
  5. be able to operate a standard Finite Element analysis package to solve linear elastic stress analysis, non-linear stress analysis and field problems.
  6. be aware of the range of Finite Element analysis codes available and their application.