Plasticity for Structural Engineers.pdf

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Theory, Problems, and CAE Softwares of
Structural Plasticity
by W.F. Chen and H. Zhang
W.F. Chen
D.J. Han
Plasticity for
Structural Engineers
2 liiusirations
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W.F. Chen
S c h o o l of C i v i l E n g i n e e r i n g
Purdue University
W e s t L a f a y e t t e . I n d i a n a 479CT. U S A
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D.J. H a n
D e p a r t m e n t of Civil E n g i n e e r i n g
South China University of T e c h n o l o g y
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Library of Congress Cataloging in Publication Data
Chen, Wai-Fah. 1936-
Plasticity for structural engineers,·W.F. Chen and D.J. Han.
p. cm.
Bibliography: p.
Includes index.
ϊ. Plasticity. 2. Structural design. I. Han, D J . II. Title.
TA41S.14.C49 198S
620.1 1233—dcl9
SS-2330
198S by Springer-Yerlag New York Inc.
All rights reserved. This work ma> not be translated or copied ir. whole or in p a n without the
written permission of the publisher (Springer-Yerlag. 1"5 Fifth Avenue, New York, NY 10010,
USA), except for brief exccrpts in connection with reviews or scholarly analysis. Use in
connection with any form of information storage and retrieval, electronic adaptation, computer
software, or by similar or dissimilar methodology now known or hereafter developed is
forbidden.
The use of general descriptive names, trade names, trademarks, etc. in this publication, even
if the former are not especially identified, is not to be taken a* a sign that such names, as
understood by the Trade Marks and Merchandise Marks Acts, ma\ accordingK be used freely
by anyone.
Typeset by J.W. Arrowsmith Ltd., Bristol, England.
Primed and bound by R.R. Donnellev Λ. Sons. Harrisonburg.
Primed in the United States of America.
9 8 7 6 5 4 3 2 1
ISBN 0-3S7-96711-7 Spnnger-Wrlag New York Berlin Heidelberg
ISBN 3-540-96711-7 Springer-Verlag Berlin Heidelberg New York
Preface
This book is intended primarily for structural engineers familiar with the
processes of elastic and plastic analysis and design of framed structures in
steel and reinforced concrete, but less familiar with the elastic and plastic
behavior of structural elements under combined stresses. The more complex
structural elements are necessary for the solution of more general structural
problems under the general heading of "nonlinear analysis" by either the
finite-element or finite-difference method. In this book, we have attempted
to present the topic of structural plasticity in a manner that is simple,
concise, and reasonably comprehensive, encompassing the classical theory
of metal plasticity as well as the modern development of concrete plasticity.
The scope of the book is indicated by the contents. It is divided into five
parts. Part I examines, on the basis of simple test conditions, the elastic
and plastic behaviors of metal and their possible generalizations under
combined stresses. An understanding of stress and strain in three dimensions
is essential for structural engineers to follow subsequent developments.To
this end, index notation and the principles of stress and strain are developed
briefly in the relevant parts of Chapters 1 to 3 of P a n 1.
Part II is concerned with the general developments of plastic stress-strain
relations for perfectly plastic solids (Chapter 4) and for work-hardening
plastic solids (Chapter 5). Part II ends with the detailed development of a
constitutive equation that relates stress increments to total strain increments
rather than to plastic strain increments, and that can be readily implemented
for a finite-element or finite-difference code.
Part III deals with the application of the general theory of plasticity to
metal. Constitutive formulations based on Λ-theory together with pro-
cedures for their solution in a general nonlinear finite-element problem are
discussed in some detail. The bounding surface theory recently developed
for modeling the behaxior of metal under cyclic loading
also presented.
Part III closes with a brief discussion
of
the sire^-virain relation for
orthotropic materials.
Pan IV deals with the application of the general
t h e o r y
of plasticity to
reinforced concrete materials. It contains failure criteria of concrete

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