A Phase-field Model for the Solidification Process in Multicomponent Alloys
Our aim is to describe phase transitions in a system of an arbitrary number of components and phases. Based on a gradient flow for the entropy (including surface anisotropy) we propose a phase field model that can be regarded as an extension of the Penros
- PDF / 53,595,175 Bytes
- 450 Pages / 439.37 x 666.142 pts Page_size
- 26 Downloads / 157 Views
32
Springer-Verlag Berlin Heidelberg GmbH
Heike Emmerich Britta Nestler Michael Schreckenberg
Editors
Interface and Transport Dynamics Computational Modelling
i
Springer
Editors Heike Emmerieh
Miehael Schreckenberg
Fachbereieh Chemietechnik Universität Dortmund Emil-Figge-Str.70 44227 Dortmund, Germany e-mail: [email protected]
Physik von Transport und Verkehr Universität Duisburg-Essen Lotharstr. 1 47048 Duisburg, Germany e-mall: [email protected]
Britta Nestler Fachhochschule Karlsruhe Moltkestr. 30 76133 Karlsruhe, Germany e-mail: [email protected]
Cover figure: Experimental photograph of a dendritie solidification structure of an Al-Si alloy superimposed by a sequence of images showing a three-dimensional simulation result of an evolving eutectie mierostructure (taken from research results by Britta Nestler, University of Applied Sciences Karlsruhe, Germany 2003).
Cataloging-in-Publication Data applied for A catalog record for this book is available from the Library of Congress. Bibliographie information published by Die Deutsche Bibliothek Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographie data is available in the Internet at .
Mathematics Subject Classification (2000): ooBxx, 3S-XX, 37-XX, 6SCxx, 6SMxx, 68Qxx, 74-XX, 76Rxx, 76T05, 80-XX, 82-XX, 90-06, 90B20 ISSN 1439-73S8 ISBN 978-3-642-07320-5 ISBN 978-3-662-07969-0 (eBook) DOI 10.1007/978-3-662-07969-0 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifieally the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on mierofilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag Berlin Heidelberg GmbH. Violations are liable for prosecution under the German Copyright Law. http://www.springer.de © Springer-Verlag Berlin Heidelberg
2003
Originally published by Springer-Verlag Berlin Heidelberg New York in 2003 Softcover reprint of the hardcover 1st edition 2003 The use of general descriptive names, registered names, trademarks, 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. Cover Design: Friedhelm Steinen-Broo, Estudio Calamar, Spain Cover production: design & production Typeset by the authors using a Springer TEX macro package Printed on acid-free paper
46/31421LK - 543210
Preface
The workshop on "computational physics of transport and interfacial dynamics" was held in Dresden, Germany from February 25 to March 8,2002. The Max Planck Institute for the Physics of Complex Systems has sponsored the workshop and the preliminary lecture-based seminar. The workshop ha
