A meshfree thin shell method for non-linear dynamic fracture

被引:452
|
作者
Rabczuk, T. [1 ]
Areias, P. M. A. [1 ]
Belytschko, T. [1 ]
机构
[1] Northwestern Univ, Dept Mech Engn, Evanston, IL 60208 USA
关键词
meshfree methods; cracks; cohesive models; KL constraint; shell;
D O I
10.1002/nme.2013
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
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 (c) 2007 John Wiley & Sons, Ltd.
引用
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页码:524 / 548
页数:25
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