After successful completion of the course, students are able to describe stress and strain in continuum micromechanics, to explain Eshelby‘s inclusion problem as well as to summarise the impacts of micromechanical effects on different scales. Furthermore they can summarise the relation between the theory of multiscale material modeling and practical problems in construction and biomedical engineering.

• Basis of continuum micromechanics - representation volume element - stress and strain averages rules
• concentration problem - Eshelby's matrix-inclusion problem
• Mori-Tanaka and self-consistent schemes
• higher-order averages-upscaling of strength
• influence tensor concept multiscale poro-mechanics and thermo-mechanics
• upscaling of transport properties
• applications in civil and biomedical engineering

Lecture at the blackboard; presentation of slide collection and selected scientific papers; open discussion with the students

At the beginning of the semester, a schedule survey is created in which students can enter their availability with regard to possible lecture dates.

Four to five VO units will then be offered in TISS.



In order to get access to the TUWEL course from the start of the semester, a non-binding electronic registration for the course "202. 649 Multiscale Material Modeling" in TISS is required.
 

written assignment and oral exam at the end of the semester

advanced knowledge in applied mathematics and mechanics advisable