Numerical Solutions

Most of the problems considered in the book can only be solved by using numerical procedures. In this section the general data concerning the numerical solving methods are given. The non-linearity of the constitutive equations and the time-depending proce

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ONLINE LIBRARY http://www.springer.de/engine/

Springer-Verlag Berlin Heidelberg GmbH

Andrzej Sluzalec

Theory of Metal Forming Plasticity Classical and Advanced Topics

With 95 Figures

i

Springer

Professor Dr. Andrzej Sluialec Technical University of Czestochowa ul. Akademicka 3 42-200 Czestochowa Poland

Library of Congress Cataloging-in-Publieation Data Sluzalee, Andrzej. Theory of metal forming plastieity: classieal and advanced topies I Andrzej Sluzalee. p.em. Includes bibliographieal referenees and index. ISBN 978-3-642-07370-0 ISBN 978-3-662-10449-1 (eBook) DOI 10.1007/978-3-662-10449-1 1. Metal-work. 2. Metals--Plastie properties. I. Title. TS205.S565 2003 671--de22 2003059107

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Originally published by Springer-Verlag Berlin Heidelberg New Yark 2004 Softcover reprint of the hardcover lst edition 2004

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Preface

The intention of this book is to reveal and discuss some aspects of the metal forming plasticity theory. The modern theory describes deformation of metallic bodies in cold and hot regimes under combined thermal and mechanical loadings. Thermal and deformation fields appear in metal forming in various forms. A thermal field influences the material properties, modifies the extent of plastic zones, etc. and the deformation of metallic body induces changes in temperature distribution. The thermal effects in metal forming plasticity can be studied at two levels, depending on whether uncoupled or coupled theories of thermo-plastic response have to be applied. A majority of metal forming processes can be satisfactorily studied within an uncoupled theory. In such an approach the temperature enters the stress-strain relation through the material constants and through the thermal dilatation. The description of thermo-plastic deformation in metal forming is carried out on the ground of thermodynamics. The effective solutions of metal forming problems have become possible only recently. In the last two decades one observes the vigorous development of effective no