IUTAM Symposium on Discretization Methods for Evolving Discontinuities
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IUTAM Bookseries
Symposium
on Discretization Methods for Evolving Discontinuities Proceedings of the IUTAM Symposium held in Lyon, France, 4 –7 September, 2006
IUTAM SYMPOSIUM ON DISCRETIZATION METHODS FOR EVOLVING DISCONTINUITIES
IUTAM BOOKSERIES Volume 5
Aims and Scope of the Series The IUTAM Bookseries publishes the proceedings of IUTAM symposia under the auspices of the IUTAM Board.
For a list of books published in this series, see final pages.
IUTAM Symposium on Discretization Methods for Evolving Discontinuities Proceedings of the IUTAM Symposium held in Lyon, France, September 4–7, 2006
Edited by
ALAIN COMBESCURE LaMCos, INSA de Lyon, France
RENÉ DE BORST Eindhoven University of Technology, Eindhoven, The Netherlands and
TED BELYTSCHKO Northwestern University, Evanston, IL, USA
A C.I.P. Catalogue record for this book is available from the Library of Congress.
ISBN 978-1-4020-6529-3 (HB) ISBN 978-1-4020-6530-9 (e-book) Published by Springer, P.O. Box 17, 3300 AA Dordrecht, The Netherlands. www.springer.com
Printed on acid-free paper
All Rights Reserved © 2007 Springer No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work.
Table of Contents
Preface
ix Meshless Finite Element Methods
Meshless discretisation of nonlocal damage theories H. Askes, T. Bennett and S. Kulasegaram Three-dimensional non-linear fracture mechanics by enriched meshfree methods without asymptotic enrichment S. Bordas, G. Zi and T. Rabczuk Accounting for weak discontinuities and moving boundaries in the context of the Natural Element Method and model reduction techniques F. Chinesta, E. Cueto, P. Joyot and P. Villon
3
21
37
Discontinuous Galerkin Methods Modeling evolving discontinuities with spacetime discontinuous Galerkin methods R. Abedi, S.-H. Chung, M.A. Hawker, J. Palaniappan and R.B. Haber Analysis of a finite element formulation for modelling phase separation G.N. Wells and K. Garikipati
59
89
Finite Element Methods with Embedded Discontinuities Recent developments in the formulation of finite elements with embedded strong discontinuities F. Armero and C. Linder
105
vi
Table of Contents
Evolving material discontinuities: Numerical modeling by the Continuum Strong Discontinuity Approach (CSDA) J. Oliver, A.E. Huespe, S. Blanco and D.L. Linero A 3D cohesive investigation on branching for brittle materials R.C. Yu, A. Pandolfi and M. Ortiz
123
139
Partition-of-Unity Based Finite Element Methods On applications of XFEM to dynamic fracture and dislocations T. Belytschko, J.-H. Song, H. Wang and R. Gracie
155
Some improvements of Xfem for cracked domains E. Chahine, P. Laborde, J. Pommier, Y. Renard and M. Sala¨ un
171
2D X-FEM simulation of dynami
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