Post-Doctoral Research Fellow.
A meshfree thin shell method for non-linear dynamic fracture
Article first published online: 23 MAR 2007
Copyright © 2007 John Wiley & Sons, Ltd.
International Journal for Numerical Methods in Engineering
Volume 72, Issue 5, pages 524–548, 29 October 2007
How to Cite
Rabczuk, T., Areias, P. M. A. and Belytschko, T. (2007), A meshfree thin shell method for non-linear dynamic fracture. Int. J. Numer. Meth. Engng., 72: 524–548. doi: 10.1002/nme.2013
- Issue published online: 24 SEP 2007
- Article first published online: 23 MAR 2007
- Manuscript Accepted: 10 JAN 2007
- Manuscript Revised: 9 JAN 2007
- Manuscript Received: 23 NOV 2005
- Office of the Naval Research. Grant Number: N00014-03-1-0097
- Army Research Office. Grant Number: DAAD19-02-01-0339
- meshfree methods;
- cohesive models;
- KL constraint;
A meshfree method for thin shells with finite strains and arbitrary evolving cracks is described. The C1 displacement continuity requirement is met by the approximation, so no special treatments for fulfilling the Kirchhoff condition are necessary. Membrane locking is eliminated by the use of a cubic or quartic polynomial basis. The shell is tested for several elastic and elasto-plastic examples and shows good results. The shell is subsequently extended to modelling cracks. Since no discretization of the director field is needed, the incorporation of discontinuities is easy to implement and straightforward. Copyright © 2007 John Wiley & Sons, Ltd.