Statistics Toolbox for Damage and Fracture
We review a number of statistical models dealing with damage and fracture of heterogeneous materials. A choice is made to emphasize the models which provide tools and concept of relevance to the field, rather than proposing a single model.
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Series Editors: The Rectors of CISM Sandor Kaliszky - Budapest Mahir Sayir - Zurich Wilhelm Schneider - Wien The Secretary General of CISM Giovanni Bianchi - Milan Executive Editor Carlo Tasso- Udine
The series presents lecture notes, monographs, edited works and proceedings in the field of Mechanics, Engineering, Computer Science and Applied Mathematics. Purpose of the series is to make known in the international scientific and technical community results obtained in some of the activities organized by CISM, the International Centre for Mechanical Sciences.
INTERNATIONAL CENTRE FOR MECHANICAL SCIENCES COURSES AND LECTURES- No. 410
DAMAG E AND FRACTURE OF DISORDERED MATERIALS
EDITED BY DUSAN KRAJCINOVIC ARIZONA STATE UNIVERSITY JAN VAN MIER DELFT UNIVERSITY OF TECHNOLOG Y
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Springer-Ve rlag Wien GmbH
This volume contains 105 illustrations
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. © 2000 by Springer-Verlag Wien Originally published by Springer-Verlag Wien New York in 2000
SPIN I 0768105
In order to make this volume available as economically and as rapidly as possible the authors' typescripts have been reproduced in their original forms. This method unfortunately has its typographical limitations but it is hoped that they in no way distract the reader.
ISBN 978-3-211-83327-8 DOI 10.1007/978-3-7091-2504-5
ISBN 978-3-7091-2504-5 (eBook)
PREFACE
The enquiry of the effect of a large number of randomly distributed microcracks on the deformation and failure of solid materials is common to solid mechanics and statistical physics. The research in this class of problems is of obvious importance to several industries. The estimate of the reliability and residual strength of damaged and aged structures, to mention one application of this research, will provide the optimal maintenance and hazards in their use. As organizers of this course we decided to use the C/SM course as a forum that will provide the meeting of people with different backgrounds and objectives. We were very fortunate that we got the researchers that were best for our objective. The meeting of minds will hopefully have a synergistic effect on the research of the lecturers and students alike. This book modest in size, considers analytical, computational and experimental methods, deterministic and statistical aspects of the problems on scales ranging from atomic to macroscopic. A very knowledgeable and attentive attendance, that filled the ornate hall of the Palazzo del Torso in Udine made this course and our effort worthwhile. All of us hope that this CISM course and this book will intensify the research in this field and bring together engineers, physicists and designers.
Dusan Krajcinovic Jan vanMier
CONTENTS
Preface
Page
CHAPTER 1 Introduction to Damage Mechanics by D. Krajcinovic ___ ..............
