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Nichtlineare Finite-Elemente-Methoden (MB-51)

Nonlinear Finite Element Methods (Module MB-51, previously Module 9)

Contents

This course discusses the finite element method, discretisation techniques and solution strategies for problems in solid mechanics at large deformations.

  • Repetitorium of kinematics, stresses, balance relations and thermo-hyperelasticity
  • Strong and weak forms of balance of linear momentum and the heat equation in spatial and material description
  • Spatial discretization of the weak forms in spatial and material description - linearisation and stiffness matrices
  • Nonlinear truss elements
  • Nonlinear solution strategies
    • Newton's method
    • line search methods
    • arc length methods
  • Deformation dependent loads
  • Quasi-incompressibility
  • Nonlinear viscoelasticity

Prerequisites

Successful completion of the introduction course on Finite Element Methods I and II or equivalent experience. Experience in nonlinear continuum mechanics and scientific programming in Matlab (or C, C++, Fortran) necessary.

Organisation

Lecturer Time slots Location First dates
Prof. Dr.-Ing. Andreas Menzel

Tuesday, 10:00 - 11:30

Wednesday, 10:15 - 11:45

 MB-Building, Room 165

Tuesday 08.10.2019: first lecture

 Materials and information are provided in a moodle course. Please login here with your uni-account and subscribe to the course NFEM1920 which will be available at the beginning of the semester. The subscription password will be provided in the lecture. 

Equivalence

This course corresponds to module MB-51 according to MPO2019/2020, in older MPOs it is part of module 9. In case of more detailed questions of equivalence please contact the Studienkoordination.