A texture tensor to quantify deformations: the example of two-dimensional flowing foams
| dc.creator | Asipauskas, Marius | |
| dc.creator | Aubouy, Miguel | |
| dc.creator | Glazier, James A. | |
| dc.creator | Graner, François | |
| dc.creator | Jiang, Yi | |
| dc.date | 2003-01-02 | |
| dc.date.accessioned | 2026-07-07T02:49:00Z | |
| dc.date.available | 2026-07-07T02:49:00Z | |
| dc.description | In a continuum description of materials, the stress tensor field $\bar{% \barσ}$ quantifies the internal forces the neighbouring regions exert on a region of the material. The classical theory of elastic solids assumes that $\bar{\barσ}$ determines the strain, while hydrodynamics assumes that $\bar{\barσ}$ determines the strain rate. To extend both successful theories to more general materials, which display both elastic and fluid properties, we recently introduced a descriptor generalizing the classical strain to include plastic deformations: the ``statistical strain'', based on averages on microscopic details (``A texture tensor to quantify deformations'' M.Au., Y.J., J.A.G., F.G, companion paper, {\em Granular Matter}, same issue). Here, we apply such a statistical analysis to a two-dimensional foam steadily flowing through a constriction, a problem beyond reach of both theories, and prove that the foam has the elastic properties of a (linear and isotropic) continuous medium. | |
| dc.description | 4 pages, 5 figures. To appear in Granular Matter | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0301017 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0301017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/20626 | |
| dc.subject | Soft Condensed Matter | |
| dc.subject | Materials Science | |
| dc.title | A texture tensor to quantify deformations: the example of two-dimensional flowing foams | |
| dc.type | text |