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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
Dr.-Ing. Richard Ostwald

Tuesday, 10:15 - 11:45

Wednesday, 10:15 - 11:45

MB-Building, Room 165

web-conference (Zoom)

The course starts on Tuesday November 3, 2020 with the first lecture via zoom.

Due to the pandemic situation the course will be held in a fully digital format. The respective moodle course NFEM2021 is available, for course enrollment please contact Markus Schewe. All material, information and zoom-links will be provided solely in the moodle course.

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.