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Previous issue date: 2014-03-18 / CNPq / Neste trabalho abordamos a fragmenta¸c˜ao de um disco fino e quebradi¸co (quase bidimensional)
ocorrida pelo impacto pontual de um proj´etil. Este problema ´e tratado
via estat´ıstica geom´etrica, onde linhas e c´ırculos desempenhar˜ao o papel das rachaduras
e ser˜ao distribu´ıdas aleatoriamente sobre a superf´ıcie. A escolha das rachaduras ser´a
feita com a distribui¸c˜ao de probabilidade respectiva a cada ente geom´etrico: a linha ou
o c´ırculo. Estas distribui¸c˜oes foram obtidas a partir de uma an´alise da propaga¸c˜ao e,
principalmente, da dissipa¸c˜ao da energia cedida pelo proj´etil. Ao construirmos o disco
fragmentado, calculamos a ´area de cada fragmento e, ent˜ao, chegamos `a distribui¸c˜ao cumulativa
das massas dos fragmentos maiores ou iguais a m, P(m). Observamos que esta
´ultima est´a em grande concordˆancia com os dados experimentais obtidos por T. Kadono
et al, ou seja: P(m)∼ m−β, onde 0.1 < β < 0.3, no regime de pequenas massas. / In this dissertation we address the fragmentation of a flat (two-dimensional) brittle
disk occurred due to the punctual impact of a projectile. This problem is addressed via
geometric statistics, where lines and circles represent the disk’s cracks, randomly distributed
over its surface. The distribution of cracks will be made through each geometric
entity’s respective probability distribution: the line or circle. These distributions were
obtained from a propagation and dissipation analysis of energy transferred by the projectile.
To construct the fragmented disk, calculations were made to obtain the area of
each fragment and to plot the cumulative distribution of the fragments masses (greater
than or equal to m). It was noted that the latter are in accordance with the experimental
data obtained by T. Kadono et al, ie. P(m)∼ m−β, where 0.1 < β < 0.3, in the small
mass regime.
| Identifer | oai:union.ndltd.org:IBICT/oai:repositorio.ufpe.br:123456789/18295 |
| Date | 18 March 2014 |
| Creators | FALCÃO, Rebeca Cardim |
| Contributors | PARISIO FILHO, Fernando Roberto de Luna |
| Publisher | Universidade Federal de Pernambuco, Programa de Pos Graduacao em Fisica, UFPE, Brasil |
| Source Sets | IBICT Brazilian ETDs |
| Language | Breton |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/masterThesis |
| Source | reponame:Repositório Institucional da UFPE, instname:Universidade Federal de Pernambuco, instacron:UFPE |
| Rights | Attribution-NonCommercial-NoDerivs 3.0 Brazil, http://creativecommons.org/licenses/by-nc-nd/3.0/br/, info:eu-repo/semantics/openAccess |
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