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

written homework

advanced knowledge in applied mathematics and mechanics advisable