Details
| Original language | English |
|---|---|
| Pages (from-to) | 265-291 |
| Number of pages | 27 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 284 |
| Publication status | Published - 19 Sept 2014 |
| Externally published | Yes |
Abstract
An extended isogeometric element formulation (XIGA) for analysis of through-the-thickness cracks in thin shell structures is developed. The discretization is based on Non-Uniform Rational B-Splines (NURBS). The proposed XIGA formulation can reproduce the singular field near the crack tip and the discontinuities across the crack. It is based on the Kirchhoff-Love theory where C1-continuity of the displacement field is required. This condition is satisfied by the NURBS basis functions. Hence, the formulation eliminates the need of rotational degrees of freedom or the discretization of the director field facilitating the enrichment strategy. The performance and validity of the formulation is tested by several benchmark examples.
Keywords
- Fracture mechanics, Isogeometric analysis, NURBS, Thin shells, XFEM, XIGA
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- General Physics and Astronomy
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 284, 19.09.2014, p. 265-291.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - An extended isogeometric thin shell analysis based on Kirchhoff-Love theory
AU - Nguyen-Thanh, Nhon
AU - Valizadeh, N.
AU - Nguyen, M. N.
AU - Nguyen-Xuan, H.
AU - Zhuang, Xiaoying
AU - Areias, P.
AU - Zi, G.
AU - Bazilevs, Y.
AU - De Lorenzis, L.
AU - Rabczuk, Timon
N1 - Funding information: Nhon Nguyen-Thanh and Laura De Lorenzis would like to acknowledge the financial support from the European Research Council Starting Researcher Grant “INTERFACES” , Grant agreement No. 279439 . Xiaoying Zhuang gratefully acknowledges the support of NSFC ( 41130751 ), National Basic Research Program of China (973 Program: 2011CB013800 ), and Shanghai Pujiang Program ( 12PJ1409100 ).
PY - 2014/9/19
Y1 - 2014/9/19
N2 - An extended isogeometric element formulation (XIGA) for analysis of through-the-thickness cracks in thin shell structures is developed. The discretization is based on Non-Uniform Rational B-Splines (NURBS). The proposed XIGA formulation can reproduce the singular field near the crack tip and the discontinuities across the crack. It is based on the Kirchhoff-Love theory where C1-continuity of the displacement field is required. This condition is satisfied by the NURBS basis functions. Hence, the formulation eliminates the need of rotational degrees of freedom or the discretization of the director field facilitating the enrichment strategy. The performance and validity of the formulation is tested by several benchmark examples.
AB - An extended isogeometric element formulation (XIGA) for analysis of through-the-thickness cracks in thin shell structures is developed. The discretization is based on Non-Uniform Rational B-Splines (NURBS). The proposed XIGA formulation can reproduce the singular field near the crack tip and the discontinuities across the crack. It is based on the Kirchhoff-Love theory where C1-continuity of the displacement field is required. This condition is satisfied by the NURBS basis functions. Hence, the formulation eliminates the need of rotational degrees of freedom or the discretization of the director field facilitating the enrichment strategy. The performance and validity of the formulation is tested by several benchmark examples.
KW - Fracture mechanics
KW - Isogeometric analysis
KW - NURBS
KW - Thin shells
KW - XFEM
KW - XIGA
UR - http://www.scopus.com/inward/record.url?scp=84907779789&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2014.08.025
DO - 10.1016/j.cma.2014.08.025
M3 - Article
AN - SCOPUS:84907779789
VL - 284
SP - 265
EP - 291
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
ER -