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Institute of Applied Mechanics
Chair I - Prof. Dr.-Ing. C. Miehe

COMMAS Elective Course

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E2: Micromechanics of Materials and Homogenization Methods
Instructors C. Miehe, D. Zäh
Lecture Tuesday 11.30 - 13.00 h V 7.12
Exercise
Thursday 09.45 - 11.15 h V 7.12
Course Contents

The course E2 advances the topics of the core course C2 "Computational Mechanics of Materials". It is structured into three parts

  1. Computational Mechanics of Three-Dimensional Material Models at Small Strains.
  2. Micro-Mechanically-Based Material Models and Homogenization Methods.
  3. Computational Mechanics of Solid Materials at Large Strains.

  • Thermodynamics of a General Internal Variable Formulation of Inelasticity at Small Strains.
  • Linear and Nonlinear Elasticity (Isotopic Spectral Forms, Anisotropic Models based on Structural Tensors).
  • Finite Element Implementation of Nonlinear Elasticity.
  • Viscoelasticity (Linear and Nonlinear Models, Stress Update Algorithms and Consistent Linearization).
  • Rate-Independent and Rate-Dependent Plasticity (Theoretical Formulations, Stress Update Algorithms and Local Variational Formulations, Consistent Linearization).
  • Micro-Mechanically-Based Models of Plasticity for Crystalline Solids.
  • Introduction to Homogenization Methods and Micro-To-Macro Transitions.
  • General Internal Variable Formulation of Inelasticity at Large Strains.
  • Approaches to the Modelling and Numerics Finite Elasticity and Finite Viscoelasticity.