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A collection of the papers from the proceedings of the 1st Asian Workshop on Meshfree Methods held in conjunction with the 2nd International Conference on Structural Stability & Dynamics (ICSSD02) on 16-18 December 2002 in Singapore. It contains 36 articles covering most of the topics in the rapidly developing areas of meshfree methods and extended finite element methods (X-FEM). These topics include domain discretization, boundary discretization, combined domain/boundary discretization, meshfree particle methods, collocation methods, X-FEM, and more. Papers on issues related to implementation and coding of meshfree methods are also presented. The areas of applications of meshfree methods include solving general partial differential equations, the mechanics of solids and structures, smart material/structures, soil-structures, fracture mechanics, fluid dynamics, impact, penetration, micro-fluidics, and so on. In addition, techniques for field variable interpolation, such as the moving least squares (MLS) approximation, the point interpolation method (PIM), and radial PIM are reported.
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Editor G. R. Liu ADVANCES IN ESHFREE AND X - F E M ETHODS Proceedings of the 1st Asian Workshop on Meshfree Methods World Scientific ADVANCES IN MESHFREE AND X-FEM METHODS Proceedings of the 1st Asian Workshop on Meshfree Methods This page is intentionally left blank ADVANCES IN MESHFREE ANDX-FEM METHODS Proceedings of the 1 st Asian Workshop on Meshfree Methods Singapore 1 6 - 1 8 December 2002 Editor G. R. Liu National University of Singapore V f e World Scientific wb Jersey'London'Singapore* New Jersey'London • Singapore • Hong Kong Published by World Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck Link, Singapore 596224 USA office: Suite 202, 1060 Main Street, River Edge, NJ 07661 UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library. ADVANCES IN MESHFREE AND X-FEM METHODS Copyright © 2003 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the Publisher. For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not required from the publisher. ISBN 981-238-247-X(pbk) This book is printed on acid-free paper. Printed in Singapore by Mainland Press V PREFACE This volume collects the Proceedings of the 1st Asian Workshop on Meshfree Methods held as a part of the 2 nd International Conference on Structural Stability & Dynamics (ICSSD02) onl6 - 18 December 2002 in Singapore. The workshop proceedings contain 36 papers covering a large number of the aspects on meshfree and the extended finite element methods (X-FEM). The aim of the workshop is to provide researchers working with meshfree methods an opportunity to exchange freely their new ideas, concepts, and techniques in this rapidly developing area of research. The idea of organizing this workshop was conceived among Professors Yagawa, W. Kanok-Nukulchai, H. Noguchi and G. R. Liu during the first AsianPacific Congress on Computational Mechanics held in Sydney in 2001. Profs. W. KanokNukulchai, H. Noguchi and G. R. Liu have then worked together to materialize this idea. Since G. R. Liu was at that time helping to organize the ICSSD02 in Singapore,