Micromechanics for Materials Science
Lecture & Exercises

Materials show a multitude of heterogeneities due to their microstructure, defects, or grain boundaries in a generalized sense. In micromechanics, one investigates the impact of these microscale heterogeneities or defects on a material's overall mechanical properties and performance at the macroscale. This micro-to-macro transition formally proceeds by appropriate averaging processes and is called homogenization. Starting with a brief introduction to continuum mechanics, this lecture focuses on fundamental analytical and computational homogenization techniques.


LV-Nr. Termine Veranstaltungsort Studienbereich Credits
11-01-4109 Winter term L2|01.77 M.Sc. Materials Science 6CP



This lecture deals with fundamentals of micromechanics in the framework of elasticity and plasticity theory. Important topics include

  • Basics of elasticity, plasticity, viscoplasticity and crystal plasticity,
  • Theory of configurational force (including J-Integral),
  • Micro-macro transition and homogenization, and
  • damage mechanics.


  • D. Gross and Th. Seelig, Fracture Mechanics – With an introduction to Micromechanics, Springer, Berlin, 2nd edition, 2011
  • J. Aboudi, Mechanics of Composite Mechanics – A unified Micromechanical Approach, Amsterdam, 1991
  • K.C. Le, Introduction to Micromechanics, Nova Science Publ. Inc., 2010
  • T. Mura, Micromechanics of Defects in Solids, Martinus Nijhoff Publisher, Dordrecht, 1987
  • T.I. Zohdi and P. Wriggers, Introduction to Computational Mechanics, Springer, Berlin, 2008

Teacher: Prof. Dr. Bai-Xiang Xu