Isogeometric analysis of large-deformation thin shells using RHT-splines for multiple-patch coupling

By N. Nguyen‐Thanh, Kun Zhou, Xiaoying Zhuang, Pedro Areias, Hung Nguyen-Xuan, Yuri Bazilevs, Timon Rabczuk. 2017

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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 C1C1 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.

Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/234fe28e3e0d93b91164afa41fa43bbe3da28991