Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 524-548 |
| Number of pages | 25 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 72 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2007 Oct 29 |
| Externally published | Yes |
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Keywords
- Cohesive models
- Cracks
- KL constraint
- Meshfree methods
- Shell
ASJC Scopus subject areas
- Engineering (miscellaneous)
- Applied Mathematics
- Computational Mechanics
Cite this
A meshfree thin shell method for non-linear dynamic fracture. / Rabczuk, Timon; Areias, P. M A; Belytschko, T.
In: International Journal for Numerical Methods in Engineering, Vol. 72, No. 5, 29.10.2007, p. 524-548.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A meshfree thin shell method for non-linear dynamic fracture
AU - Rabczuk, Timon
AU - Areias, P. M A
AU - Belytschko, T.
PY - 2007/10/29
Y1 - 2007/10/29
N2 - 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.
AB - 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.
KW - Cohesive models
KW - Cracks
KW - KL constraint
KW - Meshfree methods
KW - Shell
UR - http://www.scopus.com/inward/record.url?scp=35448993291&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=35448993291&partnerID=8YFLogxK
U2 - 10.1002/nme.2013
DO - 10.1002/nme.2013
M3 - Article
AN - SCOPUS:35448993291
VL - 72
SP - 524
EP - 548
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 5
ER -