@inbook{94356267d13944da8378b3bca793bf4a,
title = "A chaos and fractal dynamic approach to the fracture mechanics",
abstract = "It is shown that the onset of instabilities observed in the fracture of brittle isotropic materials is a consequence of the mathematical structure of chaos that underlies such phenomena. The straight line crack velocity is written in the form of a logistic map explaining the onset of instabilities observed by Fineberg et al. This approach provides a single and concise tool to study this and other nonlinear aspects presented by dynamic crack growth.",
keywords = "Crack Length, Energy Release Rate, Process Zone, Dynamic Fracture, Crack Velocity",
author = "Alves, {Lucas M{\'a}ximo} and Lobo, {Rui F. M.}",
year = "2006",
month = dec,
day = "1",
doi = "10.1007/3-540-32023-7_17",
language = "English",
isbn = "978-3-540-28366-9",
series = "Understanding Complex Systems",
publisher = "Springer Verlag",
pages = "295--316",
editor = "Marcel Ausloos and Michel Dirickx",
booktitle = "The Logistic Map and the Route to Chaos: From The Beginnings to Modern Applications",
address = "Germany",
}