The Yield Criterion in the General Case of Nonhomogeneous Stress and Deformation Fields

The transition of a material into the plastic state is connected with a change of its structure. It is obvious that, even within the framework of a continuum theory, one has to take into account the fact that the notion of structure does make sense only i

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'/'tl/Ik• • , Ail/llk.,/ J'ILUIIIIlkw Symposium Vienna, March 1-2,1974 Edited by l LZeman and EZiegler

Springer-Verlag Wien GmbH

With 1 Portrait and 67 Figures

This work is subject to copyright. Ali rights are reserved, whether the whole or part of the material is concemed, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. © Springer-Verlag Wien 1974

Library of Congress Cataloging in Publication Data

Main entry under tit1e: Topics in app1ied continuum mechanics. Papers presented at a symposium he1d at the University of Technoil.ogy of Vienna in honor of H. Parkus. Inc1udes bib1iographies. 1. Continm.nn mechanics--Congresses. 2. Parku.s, Heinz, 1909--Bib1iography. I. Zeman, Josef L., 1938ed. II. Zieg1er, Franz, 1937ed. III. Parkus, Heinz, 1909Q,A.808.2.T63 620.1'05 74-12227

ISBN 978-3-211-81260-0 ISBN 978-3-7091-4188-5 (eBook) DOI 10.1007/978-3-7091-4188-5

PRE F ACE

On January 31, 1974 Professor Dr.Heinz Parkus celebrated his 65th birthday. In his honour an international symposium on continuum mechanics, sponsored by the Austrian Secretary of Science and Research, was held on Narch 1 and 2, 1974 at the University of Technology of Vienna. Here scientists presented their special fields of interest in a series of lectures, in reviews as well as in reports on latest developments in present day research, experimental as well as theoretical. From these contributions those '"hich seem to be of general interest are collected in this volume. They are arranged starting with experimental results, the basis of any phenomenological theory, followed by theoretical results, by results of application oriented theory and by results of applications '''hich lead to experiments. Of course, none of the papers fits exactly into this scheme, some even cover the entire range themselves. There is not space here to summarize the papers printed in this volume. \ve confine ourself to pointing out the remarkable experiments on plasticity by A.Philli'ps, the fundamental contribution of E.Kroner to self-stresses, the excellent review of electro-magneto-elasticity by J.B.Alblas, the theoretical treatise of distortion in micropolar elasticity by W.Nowacki, the theoretical considerations of J.A.Konig and W.Olszak on the influence of nonhomogeneity on

plasticit~

the two engineering oriented

papers by W.R.Delameter-G.Herrmann and H.Bargmann covering some modern topics in elasticity, the reviews on plasticity and creep from a more engineering point of view by J.F. Besseling and J.Hult, and the outline of plastokinetics of

IV metal forming by II. Lippmann. A list of references, a subject index and a list of publications of Professor Heinz Parkus have been added. The list of references is complete and the underlined page numbers refer to pages where the complete references may be found. In the subject index only those pages are listed where definitions or general information may be found. In concluding this preface we take