Stress Concentration at Notches
This book compiles solutions of linear theory of elasticity problems for isotropic and anisotropic bodies with sharp and rounded notches. It contains an overview of established and recent achievements, and presents the authors’ original solutions in the f
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ess Concentration at Notches
Stress Concentration at Notches
Mykhaylo P. Savruk Andrzej Kazberuk •
Stress Concentration at Notches
123
Andrzej Kazberuk Bialystok University of Technology Bialystok Poland
Mykhaylo P. Savruk Bialystok University of Technology Bialystok Poland and
Karpenko Physico-Mechanical Institute of the National Academy of Sciences of Ukraine Lviv Ukraine
ISBN 978-3-319-44554-0 DOI 10.1007/978-3-319-44555-7
ISBN 978-3-319-44555-7
(eBook)
Library of Congress Control Number: 2016948284 © Springer International Publishing Switzerland 2017 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
Studies of stress and displacement fields in solids with crack-like defects play the key role in fracture mechanics. Such defects include both cracks or thin notches themselves and sharp V-shaped notches, which originate infinite stresses in their tips in the frames of linear elasticity theory, as well as rounded notches with small radii of tip curvature. In the tips of such notches, even small loads generate stresses higher than the ultimate strength of material that precludes application of classical criteria to the estimation of carrying capacity of structural members. To date, solution schemes for fracture mechanics problems are best developed for solid bodies with cracks. Fracture problems for solid bodies with sharp V-shaped notches are studied to a much lesser extent. This situation can be explained by analytical difficulties arising in solving problems of elasticity theory for bodies with rounded notches. To solve problems of such class starting from data on stress concentration in the rounded notch tip with a significant radius of curvature, approximate methods are therefore of great importance. To find a solution, one must know how stre
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