The Foundations of Plasticity
The traditional method of experimental verification of an inelastic theory of metal deformation is the empirical one. In an empirical verification we compare the experimentally obtained stress-strain curve for a given stress path or strain path with the s
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PLASTICITY IN STRUCTURAL ENGINEERING FUNDAMENTALS AND APPLICATIONS
CH. MASSONNET UNIVERSITY OF LIEGE
W. OLSZAK POLISH ACADEMY Of SCIENCES mTERNATIONAL CENTRE fOR 1\IECII/\NlCAL SC!El'\CES UDJNE
A. PHILLIPS YALE UNIVERSITY
SPRINGER-VERLAG WIEN GMBH
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.
© 1979 by Springer-Verlag Wien Originally published by Springer-Verlag Wien New York in 1979
ISBN 978-3-211-81350-8 DOI 10.1007/978-3-7091-2902-9
ISBN 978-3-7091-2902-9 (eBook)
PREFACE
The rapid development of the Theory of Plasticity and of its methods is due to both the challenging new cognitive results and the demand for more realistic w~ys of assessing the inelastic response of engineering structures and machine parts when subjected to severe loading programmes. So, for instance, in order to determine the safety factor of structures or to explore their dynamic behaviour beyond the elastic range, we have to know the whole spectrum of their response up to failure.
The notable progress of the Theory of Plasticity concerns both its foundations and its engineering applications. These facts are clearly reflected in the lectures of the CISM course on "Engineering Plasticity. Part I: Civil Engineering" organized during its Saint- Venant Scientific Session. In this frame the following five course series have been delivered: 1. H. Lippmann (Munich): On the incremental extremum theorems for elastic-plastic media; 2. Ch. Massotznet (Liege}: Fundamentals and some civil engineering applications of the Theory of Plasticity; 3. W. Olszak (Warsaw-Udine): Generalized yield criteria for advanced models of material response; 4. A. Phillips (New Haven, Con.): The foundations of plasticity. Experiments, theory and selected applications; 5. A. Sawczuk (Warsaw): Plastic plates. The present volume contains the contributions 2, 3, and 4.
The course delivered by Ch. Massormet presents, in Part One, in a condensed and clear manner, the fundamerltal laws governing the plastic response of materials and the ensuing subsequent theory whereupon, in Part Two, the methods of limit analysis and limit design of engineering structures are treated. Under these headings, the topics treated are: The general theory of plasticity; the
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Preface
theorems of limit analysis in their both aspects, i.e. for proportional (one-parameter) loadings and for loading programmes depending on several parameters. Afterwards the concept of generalized variables and of the corresponding yield surfaces are introduced, whereupon problems of limit analysis and design as well as shake-down phenomena occurring in engineering structures are treated and discussed. Numerous examples and technical applications, with emphasis on problems pertaining to civil engineering, are presented and dealt with, so, e.g., frames, pile groups, grids, min
