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Geometric Continuum Mechanics

MA5339A1.3 Mathematics Modules on Special Topics6 ECTSEnglishUnregelmäßigDepartment Mathematics
AI-edited module sheet. Based on the TUMonline module description, edited for readability.Original in TUMonline

What it is about

You will learn the fundamentals of a differential-geometric approach to continuum mechanics. With the help of differential forms and integration on manifolds you will formulate and apply laws such as balance principles and stress theory in a metric- and coordinate-free language.

What you will be able to do

  • Understand and apply differential forms
  • Master integration on manifolds
  • Formulate balance principles and fluxes geometrically
  • Apply stress theory in a metric-free representation

What the module consists of

  • LecturesConveying the theoretical foundations and demonstrative examples
  • ExercisesDeepening the content and self-check of understanding in irregular exercise sessions

Teaching method

  • Lecture / PresentationIntroduction to the contents with examples and discussion to motivate autonomous literature work
  • Exercise / Practicum sessionsOccasional practical phases to deepen and verify learning progress
  • BoardVisual representation and derivation of formulas and concepts
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Official page in TUMonline · Details are not binding.