1. Isogeometric analysis of large-deformation thin shells using RHT-splines for multiple-patch coupling
- Author
-
Timon Rabczuk, Xiaoying Zhuang, Hung Nguyen-Xuan, Pedro M. A. Areias, Nhon Nguyen-Thanh, Yuri Bazilevs, and Kun Zhou
- Subjects
Coupling ,Large deformation ,Mechanical Engineering ,Mathematical analysis ,Computational Mechanics ,Shell (structure) ,General Physics and Astronomy ,Geometry ,02 engineering and technology ,Isogeometric analysis ,01 natural sciences ,Mathematics::Numerical Analysis ,Computer Science Applications ,010101 applied mathematics ,Computer Science::Graphics ,020303 mechanical engineering & transports ,0203 mechanical engineering ,Partition of unity ,Mechanics of Materials ,Present method ,Thin shells ,0101 mathematics ,Mathematics ,Rotational degrees of freedom - 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 C 1 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.
- Published
- 2016