Modeling strain localisation in a segmented bar by a C2-continuous two-node integrated-RBF element formulation

An-Vo, D.-A. and Mai-Duy, N. and Tran, C.-D. and Tran-Cong, T. (2012) Modeling strain localisation in a segmented bar by a C2-continuous two-node integrated-RBF element formulation. In: 34th International Conference on Boundary Elements and other Mesh Reduction Methods (BEM/MRM 2012), 25-27 Jun 2012, Split, Croatia.

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Abstract

We propose a local C2-continuous 2-node integrated-RBF
element (IRBFE) method for the numerical modeling of strain
localisation due to material discontinuity in a segmented elastic bar. The proposed local 2-node IRBFE method can be
based on structured or unstructured point collocation procedures where both accuracy and efficiency are achieved. We introduce an effective way to exactly handle the material discontinuity by means of integration constants. Numerical results obtained for a bimaterial bar are compared with those from the analytic, and finite element methods, demonstrating the advantage of the present approach. It will be shown that the solution is C2-continuous except at the bimaterial interface where the actual physical discontinuity is captured.


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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior written permission of the publisher.
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 15 Apr 2013 02:21
Last Modified: 18 Sep 2014 02:58
Uncontrolled Keywords: integrated-radial-basis-function elements; meshless method; local approximation; segmented bar
Fields of Research : 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations
09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
Identification Number or DOI: 10.2495/BE120011
URI: http://eprints.usq.edu.au/id/eprint/22926

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