Non-linear Finite Element Methods: Theory and Application

Non-linear Modeling and Simulation

In this course we will present the technical details of nonlinear finite element techniques and their implementation in modern CAE codes. At the end of the course, the participant has a detailed understanding of the computational techniques behind the user interface of the program and is able to use these advanced tools in the correct ways.

The Finite Element Method is an indispensable part of Computer Aided Engineering (CAE). It allows to analyse the response of structures due to thermal and mechanical loads in terms of stresses and deformations. In recent years, Finite Element methods have seen an enormous development. Modern commercial CAE packages also enable the analysis of nonlinear structural and material behaviour such as buckling, plastic deformation, fracture, crash analysis, in combination with multi physics analyses such as fluid structure interaction and electro-thermo-mechanical analysis.

In recent years, finite element tools have been integrated in CAE software which has improved the ease of use significantly, but hidden many of the computational details. In order to correctly use the tools and assess the results, a detailed understanding of the fundamentals of finite element method is important.

Using Advanced Computer Aided Engineering tools effectively

After completion of the course you:

  • have a good understanding of the mathematical formulations on which the finite element method is based
  • are able to make the right models for calculations (mesh size, boundary conditions)
  • understand the applications of different element types (bar, scale and continuum elements)
  • can correctly interpret the complex results
  • have a good overview of the different non-linear material models and the corresponding solution methods
  • have an idea of ​​the current developments in commercial finite element software

Intended for
Civil, mechanical, aerospace, material engineers with a HBO or university background. Some experience with programming (Python or Matlab) is useful (not mandatory).

Interested in related courses? Also take a look at the course Leven met scheurtjes in constructies – praktische breukmechanicaVermoeiing van constructiesThemische analyseDesign for Additive ManufacturingMaterial selection in structural design of Beoordeling Constructieve Veiligheid

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  • Information
    The program can be taught in English on request.
  • Program

    Day 1: The Finite Element Method: Theory

    • Overview of continuum mechanics
    • The finite element shape function
    • Linear finite element analysis
    • Pre- and post-processing

    Day 2: Large deformations and structural elements

    • Large deformation kinematics
    • Linearization and solution techniques
    • Beam and shell elements
    • Continuum shell elements
    • Buckling analysis

    Day 3: Advanced material models

    • Plasticity models
    • Fracture mechanics
    • Multi-physics analysis

    The course will not discuss specific implementation details of commercial codes.