Shock and Damage Models in Reliability Theory
Units or systems can fail when they suffer shock and when the total damage exceeds a failure level. Shock and damage models describe catastrophic and degradation failures of units or systems and these reliability models are analyzed using the theory of st
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Series Editor Professor Hoang Pham Department of Industrial Engineering Rutgers The State University of New Jersey 96 Frelinghuysen Road Piscataway, NJ 08854-8018 USA
Other titles in this series The Universal Generating Function in Reliability Analysis and Optimization Gregory Levitin Warranty Management and Product Manufacture D.N.P Murthy and Wallace R. Blischke Maintenance Theory of Reliability Toshio Nakagawa System Software Reliability Hoang Pham Reliability and Optimal Maintenance Hongzhou Wang and Hoang Pham Applied Reliability and Quality B.S. Dhillon
Toshio Nakagawa
Shock and Damage Models in Reliability Theory
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Toshio Nakagawa, PhD Department of Marketing and Information Systems Aichi Institute of Technology 1247 Yachigusa, Yakusa-cho Toyota 470-0392 Japan
British Library Cataloguing in Publication Data Nakagawa, Toshio, 1942Shock and damage models in reliability theory. - (Springer series in reliability engineering) 1. Reliability (Engineering) - Mathematical models I. Title 620’.00452’015118 ISBN-13: 9781846284410 ISBN-10: 1846284414 Library of Congress Control Number: 2006936015 Springer Series in Reliability Engineering series ISSN 1614-7839 ISBN-10: 1-84628-441-4 e-ISBN 1-84628-442-2 ISBN-13: 978-1-84628-441-0
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Preface
Most engineering systems suffer some deterioration with time from wear, fatigue, and damage, and ultimately fail when their strength exceeds a critical level. Failure mechanisms by which the causes of failures are brought about are physical processes. The types of failure causes, how to proceed to failure by which causes, and the consequences of failures have been physically studied. This has been developed in fracture mechanics and mechanics of materials and has applied to such components and systems. On the other hand, failure mechanisms are in probabilistic and stochastic motions. Such behaviors are mathematically observed and analyzed in the study of stochastic processes. My purpose
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