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.
Original language | English |
---|---|
Pages (from-to) | 1157-1178 |
Number of pages | 22 |
Journal | Computer Methods in Applied Mechanics and Engineering |
Volume | 316 |
DOIs | |
Publication status | Published - 2017 Apr 1 |
Externally published | Yes |
Bibliographical note
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).
Publisher Copyright:
© 2016 Elsevier B.V.
Keywords
- Isogeometric analysis
- Large deformation
- Multiple patches
- NURBS
- PHT-splines
- Thin shell
ASJC Scopus subject areas
- Computational Mechanics
- Mechanics of Materials
- Mechanical Engineering
- Physics and Astronomy(all)
- Computer Science Applications