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A meshfree thin shell method for non‐linear dynamic fracture
Author(s) -
Rabczuk T.,
Areias P. M. A.,
Belytschko T.
Publication year - 2007
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2013
Subject(s) - classification of discontinuities , discretization , shell (structure) , quartic function , meshfree methods , displacement (psychology) , fracture (geology) , polynomial , mathematics , mathematical analysis , structural engineering , materials science , finite element method , engineering , composite material , psychology , pure mathematics , psychotherapist
A meshfree method for thin shells with finite strains and arbitrary evolving cracks is described. The C 1 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.
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