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Continuum Mechanics

Dozent*in: Prof.'in Dr.-Ing. Johanna Waimann
Semesterwochenstunden: 2V + 2Ü
Leistungspunkte: 6
Studiengänge: MSc-CE
Häufigkeit des Angebots: jedes Sommersemester
Prüfung: Schriftliche Prüfung 120 Minuten

Inhalt:

The course starts with an introduction to the advanced analytical techniques of linear elasticity theory, then moves on to the continuum-mechanical concepts of the nonlinear elasticity and ends with the discussion of material instabilities and microstructures. Numerous examples and applications will be given.

  1. Advanced Linear Elasticity
    • Beltrami equation
    • Navier equation
    • stress-functions
    • scalar- and vector potentials
    • Galerkin-vector
    • Love-function
    • solution of Papkovich - Neuber
  2. Nonlinear Deformation
    • Strain tensor
    • Polar descomposition
    • stress-tensors
    • equilibrium
    • strain-rates
  3. Nonlinear Elastic Materials
    • Covariance and isotropy
    • Hyperelastic materials
    • constrained materials
    • Hypoelastic materials
    • objective rates
    • material stability
    • microstructure

Weitere Informationen finden Sie auf der E-Learning-Plattfrom Moodle.