| Journal: | Journal of the Brazilian Society of Mechanical Sciences |
| Database: | PERIÓDICA |
| System number: | 000312046 |
| ISSN: | 0100-7386 |
| Authors: | Bevilacqua, Luiz1 |
| Institutions: | 1Ministerio da Ciencia e Tecnologia, Laboratorio Nacional de Computacao Cientifica, Petropolis, Rio de Janeiro. Brasil |
| Year: | 2000 |
| Volumen: | 22 |
| Number: | 2 |
| Pages: | 217-229 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Teórico |
| English abstract | This paper is divided into two different parts. The first one provides a brief introduction to the fractal geometry with some simple illustrations in fluid mechanics. We thought it would be helpful to introduce the reader into this relatively new approach to mechanics that has not been sufficiently explored by engineers yet. Although in fluid mechanics, mainly in problems of percolation and binary flows, the use of fractals has gained some attention, the same is not true for solid mechanics, from the best of our knowledge. The second part deals with the mechanical behavior of thin wires subjected to very large deformations. It is shown that starting to a plausible conjecture it is possible to find global constitutive equations correlating geometrical end energy variables with the fractal dimension of the solid subjected to large deformations. It is pointed out the need to complement the present proposal with experimental work |
| Disciplines: | Física y astronomía, Matemáticas |
| Keyword: | Dinámica de fluidos, Matemáticas puras, Fractales, Geometría, Sistemas no lineales, Alambres, Deformación, Ecuaciones |
| Keyword: | Physics and astronomy, Mathematics, Fluid dynamics, Pure mathematics, Fractals, Geometry, Nonlinear systems, Wires, Deformation, Equations |
| Full text: | Texto completo (Ver HTML) |
