Introduction
– concept of micro-macro-transitions
– homogenization and localization
– representative volume elements
Analytical methods
– Eshelbys approach
– Mean-Field-Theory of Tanaka and Mori
– Hashin-Shtrikman varitonal principles
Discret numerical homogenization
– definition of macroscopic variables
– macroscopic and microscopic boundary value problems
– macro homogeneity condition (Hill-condition)
– derivation of different microscopic boundary condition
– numerical computation of effective material parameter
– material instabilities |