i 6‘ FIBER FRACTURE - Elsevier Science Internet Homepage http://www.elsevier.com Consult the Elsevier homepage for full catalogue information on all books, journals and electronic products and services. Elsevier Titles of Related Interest CARPINTERI RAVICHANDRAN ET AL. Minimum Reinforcement in Concrete Members. Small Fatigue Cracks: ISBN: 0-08-043022-8 Mechanics, Mechanisms & Applications. FUENTES ETAL ISBN: 0-08-043011 -2 Fracture Mechanics: Applications and Challenges. &MY & PETIT ISBN: 0-08-043699-4 Temperature-Fatigue Interaction. JONES ISBN: 0-08-043982-9 Failure Analysis Case Studies 11. TANAKA & DULIKRAVICH ISBN: 0-08-043959-4 Inverse Problems in Engineering Mechanics 11. MACHAETAL ISBN: 0-08-043693-5 Multiaxial Fatigue and Fracture. UOMWO ISBN: 0-08-043336-7 Non-Destructive Testing in Civil Engineering. MARQUIS & SOLIN ISBN: 0-08-043717-6 Fatigue Design of Components. ISBN: 0-08-04331U-Y VOYIADJIS ETAL Damage Mechanics in Engineering Materials. MARQUIS & SOLIN ISBN: 0-08-043322-7 Fatigue Design and Reliability. ISBN: 0-08-043329-4 VOYIADJIS & KA‘ITAN MOORE ETAL. Advances in Damage Mechanics: Metals and Fracture Mechanics Testing Methods for Polymers, Metal Matrix Composites. Adhesives and Composites. ISBN: 0-08-043601-3 ISBN: 0-08-043689-7 WILLIAMS & PAVAN MURAKAMI Fracture of Polymers, Composites and Adhesives Metal Fatique Effects of Small Defects and Nonmetallic Inclusions ISBN: 0-08-043710-9 ISBN: 0-08-044064-9 Related Journals Free specimen copy gladly sent on request. 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Elices and J. Llorca. psm. EURESCO Conference on High Performance Fibers: Eumonference on Fiber Fracture held in Cala Viiias (Mallorca, Spain) during the fall of 2000. Includes bibliographical references and index. ISBN 0-08-044104-1 (hbk. :a lk. paper) 1. Fibers-Congresses. 2. Fracture mechanics-Congresses. I. Elices, Manuel. 11. Llorca, J. (Javier) 111. Title. TA4 1 8.9F5 E87 2002 620.1‘l26--dc21 2002029479 British Library Cataloguing in Publication Data A catalogue record from the British Library has been applied for. ISBN:0 -08-044104-1 63 The paper used in this publication meets the requirements of ANSINSO 239.48-1992 (Permanence of Paper). Printed in The Netherlands. ACKNOWLEDGEMENTS This book was conceived during the EURESCO Conference on High Performance Fibers: Euroconference on Fiber Fracture held in Cala Viiias (Mallorca, Spain) during the fall of 2000 under the sponsorship of the European Science Foundation and of the European Union, (through contract HPCF-CT-1999-00126) as well as of the Spanish Ministry of Science and Technology (through grant MAT- 1999-18 22-E). The Editors would like to acknowledge the support and encouragement of these institutions as well as of others that made possible the Conference and the publication of this book. Particularly we wish to acknowledge the financial support provided by the United States Air Force Office for Scientific Research, NASA Glenn Research Center, and Dupont de Nemours Inc. In addition, the Polytechnic University of Madrid and the University of the Balear Islands contributed actively to the organisation of the Conference and helped with grants for young Spanish researchers. This book could not have published without the generous co-operation of the distinguished scientists who, besides imparting their keynote lectures at the Conference, agreed to write and polish the manuscripts. The untiring help of Rosa Morera and JosC Miguel Martinez in the edition of the book is also gratefully acknowledged. Our heart felt thanks to all of them. MANUELE LICESa nd JAVIERL LORCA Madrid, October 2001 PREFACE Fibers stand among the stiffest and strongest materials either present in nature or manufactured by man. They are used in structural components, embedded in a matrix which maintains the fibers oriented in the optimum direction, distributes the concentrated loads, protects the fibers against wear and chemical attack from the environment, and provides the transverse stiffness to avoid buckling in compression. These new composite materials are rapidly taking over from the traditional structural materials (metallic alloys and polymers) in many industrial components, and accordingly, a new industry devoted to the manufacture of high performance fibers has emerged. The world wide production of high performance fibers was in excess of 2 millions tons in the year 2000, and it’s growing rapidly as new potential uses are envisaged every day. These novel applications often require further improvements in fiber properties and research in this field is very active. As a result, numerous books and conference proceedings are available on different aspects of fiber processing, properties, or applications but none is focused on the fructure behaviour of fibers. Man-made high performance fibers derive their outstanding properties from the strong ionic, covalent or metallic bonds which sustain the load. As the ductility of these links is very limited, fibers are brittle, their ultimate strength being controlled by their fracture behaviour, and further improvements in fiber properties can bc obtaincd through a deeper knowledge of the physical mechanisms involved in fiber fracture. In addition, it has long been known that the excellent combination of strength and ductility exhibited by many natural fibers comes from damage tolerance imparted by their hierarchical structure. However, contact among the researchers working on the mechanical behaviour of natural and synthetic fibers has been very limited so far, and this book also tries to cover this gap by presenting the mechanisms and models of fiber fracture currently available for both kinds of fibers. It is expected that this effort will lead to cross fertilization between the two fields, opening new frontiers to academic research and more competitive products for industry Finally, a note on the text. Differences in spelling are commonplace in English books written by scholars from different countries, and they normally pass unnoticed. This is not the case, however, in this book where they appear in the very title. Fiber (the american way) and fibre (the traditional British form) are both used freely throughout the book and, although aesthetic considerations would recommend the choice of one or the other, we have decided to keep the original spelling used by each author.