martedi' 3 giugno 9,00/12,00 - Aula videoconferenze venerdi' 6 giugno 9,00/12,00 Aula videoconferenze lunedi' 9 giugno 9,00/12,00 Aula videoconferenze mercoledi' 11 giugno 9,00/12,00 sala lettura DIMA venerdi' 13 giugno 9,00/12,00 sala lettura DIMA
1-2. Introduction to asymptotic methods
- General
- Example: From continuum mechanics to beam theory
2-3. 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
4. Diffusion in heterogeneous media
- Determination of the effective heat transfer parameter
- Comparison/discussion on self-consistent approach
5-6. Elastic composites
- Determination of effective elastic parameters
- Dynamics of composites
- Strong contrasted composites
7-8. Darcy's law in porous media
- Assumptions and dimensioning
- From Navier-Stokes to Darcy
- Extensions of Darcy's law
- Application to acoustics
9. Homogenization of discrete media
- Principle
- 2D-Beam array
- Effective beam models
10. Synthesis and supplements
- Large deformations
- Beyond scale separation