Learning goals / Competences

After successfully completing the module the students:

  • can identify the elements of the numeric models for membranes and shells and explain their mathematic-physical background
  • are able to derive numerical discretization methods from these
  • can extend the formulations discussed for membranes and shells to other constitutive laws and implement them into existing software codes
  • are able to assess the accuracy of the results of such codes

Content

The module includes the following topics:

  1. Kinetics of membranes under large deformations
  2. Constitutive laws for membranes
  3. Membrane equilibrium in strong form and weak form
  4. Summary of isogeometric finite element methods
  5. Numerical discretization methods for membranes
  6. Extension to shell theories
  7. Rotation-free discretization methods for Kirchhoff-Love Shells
  8. Implementation of the presented discretization methods
Semester: WT 2024/25