Presentation of modern methods in multiscale micromechanics and homogenization theory, and of their application in the engineering and material sciences.

• 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

written exam

advanced knowledge in applied mathematics and mechanics advisable