Investigation of the relevance of the topological and geometrical aspects in soft matter and cellular solids

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Project objective

We propose a theoretical study of the effect of the topological and geometrical constraints in froths. Froth is studied as an archetype of foams, cellular solids, soft matter, amorphous materials (froth is the topological dual of packing, of atoms for examples, and the 3D packings of atoms in curved space are realistic models for amorphous metals). The project will be based on some recent breakthrough on the relationship between curvature and topological properties and on a new way to study froths through a recursive inflationary procedure. These results, which are based only on topological considerations, have permitted to deduce all the topological properties of the experimentally known Frank-Kasper phases and the discovering of new phases. We propose to apply these new results and methods to a systematic study of the configurational properties; the free energy, the energy spectrum, the partition function and critical exponents of soft matter, amorphous material cellular solids and foams.

Original text from CORDIS.

Participants

• Université de Strasbourg I (Université Louis Pasteur) · StrasbourgCoordinatorFrance
• Not availableCity levelItaly

Links

• View on CORDIS