Homogenisation

Abstract: Introduction to asymptotic methods: general, example: from continuum mechanics to beam theory. Methods of change of scale: general information on heterogeneous media, representative elementary volume and separation of scale, overview of methods, periodic homogenisation method, mathematical formulation of the change of scale, physical analysis and dimensionless formulation. Diffusion in heterogeneous media: determination of the effective heat transfer parameter, comparison/discussion on self-consistent approach. Elastic composites: determination of effective elastic parameters, dynamics of composites, strong contrasted composites. Darcy's law in porous media: assumptions and dimensioning, from Navier-Stokes to Darcy, extensions of Darcy's law, application to acoustics. Homogenization of discrete media: principle, 2D-beam array, effective beam models. Synthesis and supplements: large deformations, beyond scale separation.

Per informazioni, rivolgersi a: alberto.bersani@sbai.uniroma1.it