Details
| Original language | English |
|---|---|
| Pages (from-to) | 1157-1178 |
| Number of pages | 22 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 316 |
| Publication status | Published - 15 Dec 2016 |
| Externally published | Yes |
Abstract
We present an isogeometric thin shell formulation for multi-patches based on rational splines over hierarchical T-meshes (RHT-splines). Nitsche's method is employed to efficiently couple the patches. The RHT-splines have the advantages of allowing a computationally feasible local refinement, are free from linear dependence, possess high-order continuity and satisfy the partition of unity and non-negativity. In addition, the C1 continuity of the RHT-splines avoids the rotational degrees of freedom. The good performance of the present method is demonstrated by a number of numerical examples.
Keywords
- Isogeometric analysis, Large deformation, Multiple patches, NURBS, PHT-splines, Thin shell
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. 316, 15.12.2016, p. 1157-1178.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Isogeometric analysis of large-deformation thin shells using RHT-splines for multiple-patch coupling
AU - Nguyen-Thanh, N.
AU - Zhou, K.
AU - Zhuang, Xiaoying
AU - Areias, P.
AU - Nguyen-Xuan, Hung
AU - Bazilevs, Y.
AU - Rabczuk, Timon
N1 - Funding information: The first author gratefully acknowledges the financial support of the Singapore Maritime Institute (Grant SMI-2014-MA11). Yuri Bazilevs was partially supported by the NASA (Grant NNX15AW13A).
PY - 2016/12/15
Y1 - 2016/12/15
N2 - We present an isogeometric thin shell formulation for multi-patches based on rational splines over hierarchical T-meshes (RHT-splines). Nitsche's method is employed to efficiently couple the patches. The RHT-splines have the advantages of allowing a computationally feasible local refinement, are free from linear dependence, possess high-order continuity and satisfy the partition of unity and non-negativity. In addition, the C1 continuity of the RHT-splines avoids the rotational degrees of freedom. The good performance of the present method is demonstrated by a number of numerical examples.
AB - We present an isogeometric thin shell formulation for multi-patches based on rational splines over hierarchical T-meshes (RHT-splines). Nitsche's method is employed to efficiently couple the patches. The RHT-splines have the advantages of allowing a computationally feasible local refinement, are free from linear dependence, possess high-order continuity and satisfy the partition of unity and non-negativity. In addition, the C1 continuity of the RHT-splines avoids the rotational degrees of freedom. The good performance of the present method is demonstrated by a number of numerical examples.
KW - Isogeometric analysis
KW - Large deformation
KW - Multiple patches
KW - NURBS
KW - PHT-splines
KW - Thin shell
UR - http://www.scopus.com/inward/record.url?scp=85008474117&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2016.12.002
DO - 10.1016/j.cma.2016.12.002
M3 - Article
AN - SCOPUS:85008474117
VL - 316
SP - 1157
EP - 1178
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
ER -