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Variational Analysis of Thin Elastic Bodies

CIT413029Elective Modules5 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 variational analysis of thin elastic bodies: from fundamentals of linear and nonlinear elasticity, through key inequalities and geometric rigidity, to dimension reduction. In the end you will be able to model variational problems for thin structures and apply the essential convergence and approximation results of the theory.

What you will be able to do

  • Understanding Korn’s inequality
  • Applying techniques for truncation of gradient fields
  • Insight into geometric rigidity results
  • Knowledge of the convergence from nonlinear to linear elasticity
  • Familiarity with Γ-convergence principles
  • Apply to one-dimensional (strings, rods) and two-dimensional (membranes, plates) problems

What the module consists of

  • LectureConveying the theoretical content with examples and discussion

Teaching method

  • Lecture with examplesto introduce the content and demonstrate typical results
  • Discussion with studentspromotes independent analysis and deepens understanding
  • Self-study of the literatureenables independent engagement with topics
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Official page in TUMonline · Details are not binding.