Orienting Polymers Proceedings of a Workshop held at the IMA, Univer

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1063

Orienting Polymers Proceedings of a Workshop held at the IMA, University of Minnesota, Minneapolis March 21-26,1983

Edited by J. L. Ericksen

Spri nger-Verlag Berlin Heidelberg New York Tokyo 1984

Editor

Jerald L. Ericksen School of Mathematics and Department of Aerospace Engineering and Mechanics, University of Minnesota Minneapolis, Minnesota 55455, USA

AMS Subject Classification (1980): 73F99, 73G99, 76A99

ISBN 3-540-13340-2 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-13340-2 Springer-Verlag New York Heidelberg Berlin Tokyo

Library of Congress Cataloging in Publication Data. Main entry under title: Orienting polymers. (Lecture notes in mathematics; 1063) 1. Polymers and polymerization-Congresses. 2. Liquid crystals-Congresses. I. Ericksen, J. (Jerald), 1924-. II. University of Minnesota. Institute for Mathematics and Its Applications. III. Series: Lecture notes in mathematics (Springer-Verlag); 1063. OA3.L28 no. 1063 [00380] 510 s [547.7] 84-5625 ISBN 0-387-13340-2 (U.S.) 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. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to "Verwertungsgesellschaft Wort", Munich.

© by Springer-Verlag Berlin Heidelberg 1984 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2146/3140-543210

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ORIENTING POLYMERS Table of Contents Preface

VII

Orientation Development in Liquid Crystal Polymers .....•..•..•......••. 1 K. Wissbrun A Thermodynamic View of Order Parameters for Liquid Crystals •.•.••••••• 27 J. Ericksen Orientation and Motion at a Polymer-P