Multi-Scale Methods

Course content

Aims

The Students are acquainted with analytical methods to compute the macroscopic material properties of microstructured materials. They are familiar with the concept of Representative Volume Elements and with numerical averaging techniques. The students are aware of the effect, advantages and disadvantages by using different set of boundary conditions.

Content

• Analytical averaging techniques (Voigt/Reuss, Hashin-Shtrikman)
• Separation of scales
• Representative and Statistical Volume Elements
• Hill-Mandel condition
• Choice of boundary conditins
• Variationally Methods
• FE2 strategy