Inscrição na biblioteca: Guest
Portal Digital Begell Biblioteca digital da Begell eBooks Diários Referências e Anais Coleções de pesquisa
International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Imprimir: 2152-5102
ISSN On-line: 2152-5110

Volumes:
Volume 46, 2019 Volume 45, 2018 Volume 44, 2017 Volume 43, 2016 Volume 42, 2015 Volume 41, 2014 Volume 40, 2013 Volume 39, 2012 Volume 38, 2011 Volume 37, 2010 Volume 36, 2009 Volume 35, 2008 Volume 34, 2007 Volume 33, 2006 Volume 32, 2005 Volume 31, 2004 Volume 30, 2003 Volume 29, 2002 Volume 28, 2001 Volume 27, 2000 Volume 26, 1999 Volume 25, 1998 Volume 24, 1997 Volume 23, 1996 Volume 22, 1995

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v22.i5-6.50
pages 155-175

Nonlinear Science in the Problem of Safety

G. G. Malinetskii
N. A. Mitin

RESUMO

Nonlinear science is the term employed to describe an interdisciplinary approach currently applied to investigation of relations common to a large number of natural and man-made systems.
Nonlinear science is based on a profound analogy that was found to exist between nonlinear mathematical models arising in natural sciences and in many fields of engineering. The existence of common features in the description of various phenomena makes it possible to construct elementary models which clearly and graphically reflect the substance of such processes. These elementary models, known as base models, can be used, just as cubes in children's games, for constructing models of actual systems and processes, by introducing the necessary refinements into the mathematical description.
One of the major places in nonlinear science is occupied by the study of jumps, phase transitions, high-rate processes and qualitative changes in the state of the objects under study. And it is precisely this which is usually the main component in the analysis of catastrophes in natural and man-made environments. We are faced with a paradoxical situations when new, effective, and most probably useful tools are not used in the field for which they have been predominantly designed. In our opinion the main reason for this is that specialists in different fields speak in different languages, which prevents them from understanding one another.
The main purpose of this article is to serve as a kind of dictionary and phrase book that would ensure contact between safety experts and their colleagues in nonlinear science. This dictates the style of the article. In each section we shall formulate an elementary conceptual model of a catastrophe, then its mathematical description and finally, we shall turn to specific studies, where these tools are used for analyzing safety problems.


Articles with similar content:

Nonlinearity. New Problems, New Opportunities
International Journal of Fluid Mechanics Research, Vol.22, 1995, issue 5-6
G. G. Malinetskii, A. B. Potapov
Mathematical Foundations of Biomechanics
Critical Reviews™ in Biomedical Engineering, Vol.38, 2010, issue 6
Peter F. Niederer
SUSPENSION RHEOLOGY
ICHMT DIGITAL LIBRARY ONLINE, Vol.0, 1988, issue
H. Brenner
Abstract of "Good Rum, Good Captain, Good Ship−How the Consent for Biomedical Devices and Implants can be Transformed from an Event to a Process by the Surgeon Scientist"
Journal of Long-Term Effects of Medical Implants, Vol.18, 2008, issue 1
Howard P. Greisler, Luke P. Brewster
Ethics of Hostage Taking
Ethics in Biology, Engineering and Medicine: An International Journal, Vol.6, 2015, issue 1-2
Shunzo Majima