Infinitesimal Periodic Deformations and Quadrics
| Autor: | Ileana Streinu, Ciprian S. Borcea |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics and Astronomy (miscellaneous)
Auxetics General Mathematics Infinitesimal auxetics 02 engineering and technology Kinematics 01 natural sciences 010305 fluids & plasmas Homothetic transformation 0103 physical sciences Computer Science (miscellaneous) QA1-939 Direct consequence Physics Crystallographic point group periodic framework 021001 nanoscience & nanotechnology Ellipsoid Classical mechanics Chemistry (miscellaneous) kinematics crystallographic symmetry 0210 nano-technology quadrics Mathematics |
| Zdroj: | Symmetry, Vol 13, Iss 1719, p 1719 (2021) Symmetry Volume 13 Issue 9 |
| ISSN: | 2073-8994 |
| Popis: | We describe a correspondence between the infinitesimal deformations of a periodic bar-and-joint framework and periodic arrangements of quadrics. This intrinsic correlation provides useful geometric characteristics. A direct consequence is a method for detecting auxetic deformations, identified by a pattern consisting of homothetic ellipsoids. Examples include frameworks with higher crystallographic symmetry. |
| Databáze: | OpenAIRE |
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