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Fracture mechanics and complexity sciences – Part II. Complex behaviour emerging from simple nonlinear rules: Catastrophes and chaos

Fracture mechanics and complexity sciences – Part II. Complex behaviour emerging from simple... The so-called Complexity Sciences are a topic of fast growing interest inside the scientific community. Aim of this paper is to provide an insight into the role of complexity in the field of Materials Science and Fracture Mechanics. The paper is divided into two parts, which deal with the two opposite natural trends of composite systems: order and structure emerging from large, complicated systems and the route towards randomness and chaos arising from simple nonlinear rules. The former trend has been illustrated in the companion paper (Part I); on the other hand, this part will focus on the latter trend. The first example concerns the snap-back instabilities in the structural behaviour of composite structures, which are illustrated in the framework of Catastrophe Theory; the second application deals with the transition towards chaos in the dynamics of cracked beams. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Strength, Fracture and Complexity iospress

Fracture mechanics and complexity sciences – Part II. Complex behaviour emerging from simple nonlinear rules: Catastrophes and chaos

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Publisher
IOS Press
Copyright
Copyright © 2006 by IOS Press, Inc
ISSN
1567-2069
eISSN
1875-9262
Publisher site
See Article on Publisher Site

Abstract

The so-called Complexity Sciences are a topic of fast growing interest inside the scientific community. Aim of this paper is to provide an insight into the role of complexity in the field of Materials Science and Fracture Mechanics. The paper is divided into two parts, which deal with the two opposite natural trends of composite systems: order and structure emerging from large, complicated systems and the route towards randomness and chaos arising from simple nonlinear rules. The former trend has been illustrated in the companion paper (Part I); on the other hand, this part will focus on the latter trend. The first example concerns the snap-back instabilities in the structural behaviour of composite structures, which are illustrated in the framework of Catastrophe Theory; the second application deals with the transition towards chaos in the dynamics of cracked beams.

Journal

Strength, Fracture and Complexityiospress

Published: Jan 1, 2006

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